Verfügbarkeit: Quantum dissipative systems | Technische Universität München

Quantum dissipative systems:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Weiss, Ulrich ca. 20. Jh (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Singapore [u.a.] World Scientific 2008
Ausgabe:	3. ed.
Schriftenreihe:	Series in modern condensed matter physics 13
Schlagwörter:	Quantenmechanisches System Quantenstatistik Quantentheorie Dissipatives System
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016405732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVIII, 507 S. graph. Darst.
ISBN:	9789812791627 9812791620

Internformat

MARC


LEADER	00000nam a2200000 cb4500
001	BV023219806
003	DE-604
005	20140806
007	t\|
008	080318s2008 xx d\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9789812791627 \|9 978-981-279-162-7
020			\|a 9812791620 \|9 981-279-162-0
035			\|a (OCoLC)263708802
035			\|a (DE-599)BVBBV023219806
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-703 \|a DE-19 \|a DE-20 \|a DE-355 \|a DE-91G \|a DE-29T \|a DE-83 \|a DE-11 \|a DE-188
084			\|a UG 4000 \|0 (DE-625)145630: \|2 rvk
084			\|a UK 1000 \|0 (DE-625)145785: \|2 rvk
084			\|a PHY 057f \|2 stub
100	1		\|a Weiss, Ulrich \|d ca. 20. Jh. \|e Verfasser \|0 (DE-588)1049309855 \|4 aut
245	1	0	\|a Quantum dissipative systems \|c Ulrich Weiss
250			\|a 3. ed.
264		1	\|a Singapore [u.a.] \|b World Scientific \|c 2008
300			\|a XVIII, 507 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Series in modern condensed matter physics \|v 13
650	0	7	\|a Quantenmechanisches System \|0 (DE-588)4300046-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Quantenstatistik \|0 (DE-588)4047991-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Quantentheorie \|0 (DE-588)4047992-4 \|2 gnd \|9 rswk-swf
650	0	7	\|a Dissipatives System \|0 (DE-588)4209641-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Dissipatives System \|0 (DE-588)4209641-8 \|D s
689	0	1	\|a Quantentheorie \|0 (DE-588)4047992-4 \|D s
689	0		\|5 DE-604
689	1	0	\|a Dissipatives System \|0 (DE-588)4209641-8 \|D s
689	1	1	\|a Quantenstatistik \|0 (DE-588)4047991-2 \|D s
689	1		\|5 DE-604
689	2	0	\|a Quantenmechanisches System \|0 (DE-588)4300046-0 \|D s
689	2		\|8 1\p \|5 DE-604
830		0	\|a Series in modern condensed matter physics \|v 13 \|w (DE-604)BV006633804 \|9 13
856	4	2	\|m Digitalisierung UB Regensburg \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016405732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-016405732

Datensatz im Suchindex

DE-BY-TUM_call_number	0202 PHY 057f 2009 A 113(3)
DE-BY-TUM_katkey	1645541
DE-BY-TUM_location	02
DE-BY-TUM_media_number	040020778747
_version_	1821934436422254592
adam_text	Contents 1 Introduction 1 1 GENERAL THEORY OF OPEN QUANTUM SYSTEMS 5 2 Diverse limited approaches: a brief survey 5 2.1 Langevin equation for a damped classical system ............ 5 2.2 New schemes of quantization ....................... 7 2.3 Traditional system-plus-reservoir methods ............... 8 2.3.1 Quantum-mechanical master equations for weak coupling ... 8 2.3.2 Operator Langevin equations for weak coupling ........ 12 2.3.3 Quantum and quasiclassical Langevin equation ......... 13 2.3.4 Phenomenological methods .................... 14 2.4 Stochastic dynamics in Hubert space .................. 15 3 System—plus—reservoir models 18 3.1 Harmonic oscillator bath with linear coupling ............. 19 3.1.1 The Hamiltonian of the global system .............. 19 3.1.2 The road to the classical generalized Langevin equation .... 21 3.1.3 Phenomenological modeling ................... 24 3.1.4 Quasiclassical Langevin equation ................ 25 3.1.5 Ohmic and frequency-dependent damping ........... 27 3.1.6 Rubin model ........................... 30 3.2 The Spin-Boson model .......................... 31 3.2.1 The model Hamiltonian ..................... 31 3.2.2 Josephson two-state systems: flux and charge qubit ...... 35 3.3 Microscopic models ............................ 38 3.3.1 Acoustic polaron: one-phonon and two-phonon coupling .... 40 3.3.2 Optical polaron .......................... 41 3.3.3 Interaction with fermions (normal and superconducting) ... 43 3.3.4 Superconducting tunnel junction ................ 46 3.4 Charging and environmental effects in tunnel junctions ........ 47 3.4.1 The global system for single electron tunneling ......... 49 3.4.2 Resistor, inductor and transmission lines ............ 53 3.4.3 Charging effects in Josephson junctions ............. 54 3.5 Nonlinear quantum environments .................... 55 Imaginary—time path integrals 57 4.1 The density matrix: general concepts .................. 58 4.2 Effective action and equilibrium density matrix ............ 62 4.2.1 Open system with bilinear coupling to a harmonic reservoir . . 63 4.2.2 State-dependent memory-friction ................ 67 4.2.3 Spin-boson model ......................... 68 4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling . 69 4.2.5 Acoustic polaron: two-phonon coupling ............. 75 4.2.6 Tunneling between surfaces: one-phonon coupling ....... 77 4.2.7 Optical polaron .......................... 79 4.2.8 Heavy particle in a metal ..................... 80 4.2.9 Heavy particle in a superconductor ............... 86 4.2.10 Effective action for a Josephson junction ............ 88 4.2.11 Electromagnetic environment .................. 95 4.3 Partition function of the open system .................. 96 4.3.1 General path integral expression ................. 96 4.3.2 Semiclassical approximation ................... 97 4.3.3 Partition function of the damped harmonic oscillator ..... 98 4.3.4 Functional measure in Fourier space ............... 99 4.3.5 Partition function of the damped harmonic oscillator revisited 100 4.4 Quantum statistical expectation values in phase space ......... 102 4.4.1 Generalized Weyl correspondence ................ 103 4.4.2 Generalized Wigner function and expectation values ...... 105 Real—time path integrals and dynamics 106 5.1 Feynman-Vernon method for a product initial state .......... 108 5.2 Decoherence and friction ......................... 112 5.3 General initial states and preparation function ............. 115 5.4 Complex-time path integral for the propagating function ....... 116 5.5 Real-time path integral for the propagating function ......... 120 5.5.1 Extremal paths .......................... 123 5.5.2 Classical limit ........................... I24 5.5.3 Semiclassical limit: quasiclassical Langevin equation ...... 125 5.6 Stochastic unraveling of influence functionals .............. 127 5.7 Brief summary and outlook ....................... 130 II FEW SIMPLE APPLICATIONS 131 Damped harmonic oscillator 6.1 Fluctuation-dissipation theorem ..................... 132 6.2 Stochastic modeling ............................ 135 6.3 Susceptibility for Ohmic friction and Drude damping ......... 138 6.3.1 Strict Ohmie friction ....................... 138 6.3.2 Drude damping .......................... 138 6.4 The position autocorrelation function .................. 139 6.4.1 Ohmic damping .......................... 140 6.4.2 Algebraic spectral density .................... 142 6.5 Partition function, internal energy and density of states ........ 143 6.5.1 Partition function and internal energy ............. 143 6.5.2 Spectral density of states ..................... 146 6.6 Mean square of position and momentum ................ 147 6.6.1 General expressions for coloured noise .............. 147 6.6.2 Strict Ohmic case ......................... 149 6.6.3 Ohmic friction with Drude regularization ............ 150 6.7 Equilibrium density matrix ........................ 152 6.7.1 Purity ............................... 154 Quantum Brownian free motion 156 7.1 Spectral density, damping function and mass renormalization ..... 157 7.2 Displacement correlation and response function ............ 159 7.3 Ohmic damping .............................. 160 7.4 Frequency-dependent damping ..................... 163 7.4.1 Response function and mobility ................. 163 7.4.2 Mean square displacement .................... 165 The thermodynamic variational approach 167 8.1 Centroid and the effective classical potential .............. 167 8.1.1 Centroid .............................. 167 8.1.2 The effective classical potential ................. 169 8.2 Variational method ............................ 170 8.2.1 Variational method for the free energy ............. 170 8.2.2 Variational method for the effective classical potential ..... 171 8.2.3 Variational perturbation theory ................. 174 8.2.4 Expectation values in coordinate and phase space ....... 176 Suppression of quantum coherence 178 9.1 Nondynamical versus dynamical environment .............. 179 9.2 Suppression of transversal and longitudinal interferences ....... 180 9.3 Localized bath modes and universal decoherence ............ 182 9.3.1 A model with localized bath modes ............... 182 9.3.2 Statistical average of paths .................... 184 9.3.3 Ballistic motion .......................... 185 9.3.4 Diffusive motion .......................... 186 Ill QUANTUM STATISTICAL DECAY 189 10 Introduction 189 11 Classical rate theory: a brief overview 192 11.1 Classical transition state theory ..................... 192 11.2 Moderate-to-strong-damping regime ................... 193 11.3 Strong damping regime .......................... 195 11.4 Weak-damping regime .......................... 197 12 Quantum rate theory: basic methods 199 12.1 Formal rate expressions in terms of flux operators ........... 200 12.2 Quantum transition state theory ..................... 202 12.3 Semiclassical limit ............................. 203 12.4 Quantum tunneling regime ........................ 205 12.5 Free energy method ............................ 207 12.6 Centroid method ............................. 211 13 Multidimensional quantum rate theory 212 14 Crossover from thermal to quantum decay 216 14.1 Normal mode analysis at the barrier top ................ 216 14.2 Turnover theory for activated rate processes .............. 218 14.3 The crossover temperature ........................ 222 15 Thermally activated decay 223 15.1 Rate formula above the crossover regime ................ 224 15.2 Quantum corrections in the preexponential factor ........... 227 15.3 The quantum Smoluchowski equation approach ............ 228 15.4 Multidimensional quantum transition state theory ........... 230 16 The crossover region 233 16.1 Beyond steepest descent above TQ ....................235 16.2 Beyond steepest descent below To ....................236 16.3 The scaling region .............................239 17 Dissipative quantum tunneling 242 17.1 The quantum rate formula ........................ 242 17.2 Thermal enhancement of macroscopic quantum tunneling ....... 245 17.3 Quantum decay in a cubic potential for Ohmic friction ........ 246 17.3.1 Bounce action and quantum prefactor .............. 247 17.3.2 Analytic results for strong Ohmic dissipation .......... 248 17.4 Quantum decay in a tilted cosine washboard potential ......... 250 17.5 Concluding remarks ............................ 257 IV THE DISSIPATIVE TWO-STATE SYSTEM 259 18 Introduction 259 18.1 Truncation of the double-well to the two-state system ......... 261 18.1.1 Shifted oscillators and orthogonality catastrophe ........ 261 18.1.2 Adiabatic renormalization .................... 263 18.1.3 Rcnormalized tunnel matrix element .............. 264 18.1.4 Polaron transformation ...................... 269 18.2 Pair interaction in the charge picture .................. 269 18.2.1 Analytic expression for any s and arbitrary cutoff шс ..... 269 18.2.2 Ohmie dissipation and universality limit ............ 271 19 Thermodynamics 272 19.1 Partition function and specific heat ................... 272 19.1.1 Exact formal expression for the partition function ....... 272 19.1.2 Static susceptibility and specific heat .............. 274 19.1.3 The self-energy method ...................... 275 19.1.4 The limit of high temperatures ................. 277 19.1.5 Noninteracting-kink-pair approximation ............ 277 19.1.6 Weak-damping limit ....................... 279 19.1.7 The self-energy method revisited: partial resummation .... 280 19.2 Ohmic dissipation ............................. 281 19.2.1 General results .......................... 282 19.2.2 The special case К = f ...................... 283 19.3 Non-Ohmic spectral densities ...................... 288 19.3.1 The sub-Ohmic case ....................... 288 19.3.2 The super-Ohmic case ...................... 289 19.4 Relation between the Ohmic TSS and the Kondo model ........ 290 19.4.1 Anisotropie Kondo model .................... 290 19.4.2 Resonance level model ...................... 292 19.5 Equivalence of the Ohmic TSS with the 1/r2 Ising model ....... 293 20 Electron transfer and incoherent tunneling 294 20.1 Electron transfer ............................. 295 20.1.1 Adiabatic bath .......................... 296 20.1.2 Marcus theory for electron transfer ............... 298 20.2 Incoherent tunneling in the nonadiabatic regime ............ 302 20.2.1 General expressions for the nonadiabatic rate ......... 302 20.2.2 Probability for energy exchange: general results ........ 304 20.2.3 The spectral probability density for absorption at Τ = 0 ... 307 20.2.4 Grossover from quantum-mechanical to classical behaviour . . 308 20.2.5 The Ohmic case .......................... 312 20.2.6 Exact nonadiabatic rates for К = 1/2 and К = 1....... 314 20.2.7 The sub-Ohmic case (0 < s < 1)................. 315 20.2.8 The super-Ohmic case (s > 1).................. 317 20.2.9 Incoherent defect tunneling in metals .............. 319 20.3 Single charge tunneling .......................... 322 20.3.1 Weak-tunneling regime ...................... 322 20.3.2 The current-voltage characteristics ............... 326 20.3.3 Weak tunneling of ID interacting electrons ........... 328 20.3.4 Tunneling of Cooper pairs .................... 330 20.3.5 Tunneling of quasiparticles .................... 331 21 Two-state dynamics 333 21.1 Initial preparation, expectation values, and correlations ........ 333 21.1.1 Product initial state ....................... 333 21.1.2 Thermal initial state ....................... 336 21.2 Exact formal expressions for the system dynamics ........... 340 21.2.1 Sojourns and blips ........................ 340 21.2.2 Conditional propagating functions ................ 343 21.2.3 The expectation values {Oj)t (j = x, y, z) ........... 344 21.2.4 Correlation and response function of the populations ..... 346 21.2.5 Correlation and response function of the coherences ...... 348 21.2.6 Generalized exact master equation and integral relations . . . 349 21.3 The noninteracting-blip approximation (NIBA) ............ 352 21.3.1 Symmetric Ohmic system in the scaling limit .......... 355 21.3.2 Weak Ohmic damping and moderate-to-high temperature . . . 359 21.3.3 The super-Ohmic case ...................... 365 21.4 Weak-coupling theory beyond the NIBA for a biased system ..... 368 21.4.1 The one-boson self-energy .................... 369 21.4.2 Populations and coherences (super-Ohmic and Ohmic) .... 371 21.5 The interacting-blip chain approximation ................ 373 21.6 Ohmic dissipation with К at and near \|: exact results ........ 376 21.6.1 Grand-canonical sums of collapsed blips and sojourns ..... 376 21.6.2 The expectation value (az)t for К = ............. 377 21.6.3 The case К = \| - «; coherent-incoherent crossover ...... 379 21.6.4 Equilibrium σζ autocorrelation function ............. 380 21.6.5 Equilibrium σχ autocorrelation function ............ 385 21.6.6 Correlation functions in the Toulouse model .......... 38 ŕ 21.7 Long-time behaviour at Τ = 0 for К < 1: general discussion ..... 388 21.7.1 The populations .......................... 389 21.7.2 The population correlations and generalized Shiba relation . . 389 21.7.3 The coherence correlation function ............... ** 21.8 Erom weak to strong tunneling: relaxation and decoherence ...... 39/ 21.8.1 Incoherent tunneling beyond the nonadiabatic limit ...... 39/ 21.8.2 Decoherence at zero temperature: analytic results ....... 395 21.9 Thermodynamics from dynamics .................... 396 22 The driven two-state system 399 22.1 Time-dependent external fields ...................... 399 22.1.1 Diagonal and off-diagonal driving ................ 399 22.1.2 Exact formal solution ....................... 400 22.1.3 Linear response .......................... 402 22.1.4 The Ohmic case with Kondo parameter K= ......... 403 22.2 Markovian regime ............................. 403 22.3 High-frequency regime .......................... 404 22.4 Quantum stochastic resonance ...................... 407 22.5 Driving-induced symmetry breaking ................... 409 V THE DISSIPATIVE MULTI-STATE SYSTEM 411 23 Quantum Brownian particle in a washboard potential 411 23.1 Introduction ................................ 411 23.2 Weak- and tight-binding representation ................. 412 24 Multi-state dynamics 413 24.1 Quantum transport and quantum-statistical fluctuations ....... 413 24.1.1 Product initial state ....................... 414 24.1.2 Characteristic function of moments and cumulants ....... 414 24.1.3 Thermal initial state and correlation functions ......... 415 24.2 Poissonian quantum transport ...................... 416 24.2.1 Dynamics by incoherent nearest-neighbour tunneling moves . . 416 24.2.2 The general case ......................... 418 24.3 Exact formal expressions for the system dynamics ........... 419 24.3.1 Product initial state ....................... 421 24.3.2 Thermal initial state ....................... 423 24.4 Mobility and Diffusion .......................... 426 24.4.1 Exact formal series expressions for transport coefficients . . . 426 24.4.2 Einstein relation ......................... 427 24.5 The Ohmic case .............................. 428 24.5.1 Weak-tunneling regime ...................... 429 24.5.2 Weak-damping limit ....................... 429 24.6 Exact- solution in the Ohmic scaling limit- at К = .......... 431 24.6.1 Current and mobility ....................... 431 24.6.2 Diffusion and skewness ...................... 434 24.7 The effects of a thermal initial state ................... 435 24.7.1 Mean position and variance ................... 435 24.7.2 Linear response .......................... 436 24.7.3 The exactly solvable case К = ................. 439 25 Duality symmetry 439 25.1 Duality for general spectral density ................... 440 25.1.1 The map between the ТВ and WB Hamiltonian ........ 440 25.1.2 Frequency-dependent linear mobility .............. 443 25.1.3 Nonlinear static mobility .................... 444 25.2 Self-duality in the exactly solvable cases К = and К = 2...... 446 25.2.1 Full counting statistics at К = f ................ 446 25.2.2 Full counting statistics at К = 2................. 448 25.3 Duality and supercurrent in Josephson junctions ............ 450 25.3.1 Charge-phase duality ....................... 450 25.3.2 Supercurrent-voltage characteristics for p <C 1......... 453 25.3.3 Supercurrent-voltage characteristics at ρ = \| .......... 454 25.3.4 Supercurrent-voltage characteristics at ρ = 2.......... 454 25.4 Self-duality in the Ohmic scaling limit ................. 455 25.4.1 Linear mobility at finite Τ .................... 456 25.4.2 Nonlinear mobility at Τ = 0................... 457 25.5 Exact scaling function at Τ = 0 for arbitrary К ............ 459 25.5.1 Construction of the self-dual scaling solution .......... 459 25.5.2 Supercurrent-voltage characteristics at Τ = 0 for arbitrary ρ . 462 25.5.3 Connection with Seiberg- Witten theory ............. 462 25.5.4 Special limits ........................... 463 25.6 Full counting statistics at zero temperature ............... 464 25.7 Low temperature behaviour of the characteristic function ....... 467 25.8 The sub- and super-Ohmic case ..................... 468 26 Charge transport in quantum impurity systems 470 26.1 Generic models for transmission of charge through barriers ...... 471 26.1.1 The Tomonaga-Luttinger liquid ................. 471 26.1.2 Transport through a single weak barrier ............ 472 26.1.3 Transport through a single strong barrier ............ 474 26.1.4 Coherent conductor in an Ohmic environment ......... 476 26.1.5 Equivalence with quantum transport in a washboard potential 478 26.2 Self-duality between weak and strong tunneling ............ 478 26.3 Full counting statistics .......................... 479 26.3.1 Charge transport at low Τ for arbitrary g ........... 479 26.3.2 Full counting statistics at g = and general temperature . . . 482 Bibliography 483 Index 503
any_adam_object	1
author	Weiss, Ulrich ca. 20. Jh
author_GND	(DE-588)1049309855
author_facet	Weiss, Ulrich ca. 20. Jh
author_role	aut
author_sort	Weiss, Ulrich ca. 20. Jh
author_variant	u w uw
building	Verbundindex
bvnumber	BV023219806
classification_rvk	UG 4000 UK 1000
classification_tum	PHY 057f
ctrlnum	(OCoLC)263708802 (DE-599)BVBBV023219806
discipline	Physik
edition	3. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02129nam a2200505 cb4500</leader><controlfield tag="001">BV023219806</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140806 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">080318s2008 xx d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812791627</subfield><subfield code="9">978-981-279-162-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812791620</subfield><subfield code="9">981-279-162-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)263708802</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV023219806</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 4000</subfield><subfield code="0">(DE-625)145630:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 1000</subfield><subfield code="0">(DE-625)145785:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 057f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Weiss, Ulrich</subfield><subfield code="d">ca. 20. Jh.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1049309855</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Quantum dissipative systems</subfield><subfield code="c">Ulrich Weiss</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">3. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 507 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Series in modern condensed matter physics</subfield><subfield code="v">13</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenmechanisches System</subfield><subfield code="0">(DE-588)4300046-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenstatistik</subfield><subfield code="0">(DE-588)4047991-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantentheorie</subfield><subfield code="0">(DE-588)4047992-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dissipatives System</subfield><subfield code="0">(DE-588)4209641-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dissipatives System</subfield><subfield code="0">(DE-588)4209641-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Quantentheorie</subfield><subfield code="0">(DE-588)4047992-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Dissipatives System</subfield><subfield code="0">(DE-588)4209641-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Quantenstatistik</subfield><subfield code="0">(DE-588)4047991-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Quantenmechanisches System</subfield><subfield code="0">(DE-588)4300046-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Series in modern condensed matter physics</subfield><subfield code="v">13</subfield><subfield code="w">(DE-604)BV006633804</subfield><subfield code="9">13</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016405732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016405732</subfield></datafield></record></collection>
id	DE-604.BV023219806
illustrated	Illustrated
indexdate	2024-12-20T13:10:56Z
institution	BVB
isbn	9789812791627 9812791620
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016405732
oclc_num	263708802
open_access_boolean
owner	DE-703 DE-19 DE-BY-UBM DE-20 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-83 DE-11 DE-188
owner_facet	DE-703 DE-19 DE-BY-UBM DE-20 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-83 DE-11 DE-188
physical	XVIII, 507 S. graph. Darst.
publishDate	2008
publishDateSearch	2008
publishDateSort	2008
publisher	World Scientific
record_format	marc
series	Series in modern condensed matter physics
series2	Series in modern condensed matter physics
spellingShingle	Weiss, Ulrich ca. 20. Jh Quantum dissipative systems Series in modern condensed matter physics Quantenmechanisches System (DE-588)4300046-0 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantentheorie (DE-588)4047992-4 gnd Dissipatives System (DE-588)4209641-8 gnd
subject_GND	(DE-588)4300046-0 (DE-588)4047991-2 (DE-588)4047992-4 (DE-588)4209641-8
title	Quantum dissipative systems
title_auth	Quantum dissipative systems
title_exact_search	Quantum dissipative systems
title_full	Quantum dissipative systems Ulrich Weiss
title_fullStr	Quantum dissipative systems Ulrich Weiss
title_full_unstemmed	Quantum dissipative systems Ulrich Weiss
title_short	Quantum dissipative systems
title_sort	quantum dissipative systems
topic	Quantenmechanisches System (DE-588)4300046-0 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantentheorie (DE-588)4047992-4 gnd Dissipatives System (DE-588)4209641-8 gnd
topic_facet	Quantenmechanisches System Quantenstatistik Quantentheorie Dissipatives System
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016405732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV006633804
work_keys_str_mv	AT weissulrich quantumdissipativesystems

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Physik

Bestandsangaben von Teilbibliothek Physik
Signatur:	0202 PHY 057f 2009 A 113(3) Lageplan
Exemplar 1	Ausleihbar Am Standort