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Classical and quantum dynamics: from classical paths to path integrals

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Bibliographic Details
Main Authors:	Dittrich, Walter (Author), Reuter, Martin 1958- (Author)
Format:	Book
Language:	German
Published:	Berlin [u.a.] Springer 2001
Edition:	3. ed.
Series:	Physics and astronomy online library
Subjects:	Hamilton-vergelijkingen Intégrales de parcours Kwantummechanica Niet-lineaire dynamica Pad-integralen Systèmes hamiltoniens Théorie quantique Théories non linéaires Quantentheorie Hamiltonian systems Nonlinear theories Path integrals Quantum theory Dynamik Hamiltonsches System Theoretische Mechanik Hamilton-Formalismus Pfadintegral Mechanik Quantenmechanik Lehrbuch
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	X, 385 S.
ISBN:	3540420665

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MARC


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Record in the Search Index

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adam_text	CONTENTS INTRODUCTION .......................................................... 1 1. THE ACTION PRINCIPLES IN MECHANICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2. THE ACTION PRINCIPLE IN CLASSICAL ELECTRODYNAMICS ................... 15 3. APPLICATION OF THE ACTION PRINCIPLES ................................ 21 4. JACOBI FIELDS, CONJUGATE POINTS ..................................... 41 5. CANONICAL TRANSFORMATIONS ......................................... 53 6. THE HAMILTONJACOBI EQUATION ..................................... 67 7. ACTION-ANGLE VARIABLES ............................................ 83 8. THE ADIABATIC INVARIANCE OF THE ACTION VARIABLES ..................... 105 9. TIME-INDEPENDENT CANONICAL PERTURBATION THEORY .................... 117 10. CANONICAL PERTURBATION THEORY WITH SEVERAL DEGREES OF FREEDOM ...... 125 11. CANONICAL ADIABATIC THEORY ........................................ 139 12. REMOVAL OF RESONANCES ........................................... 145 13. SUPERCONVERGENT PERTURBATION THEORY, KAM THEOREM (INTRODUCTION) ... 155 14. POINCAR´ E SURFACE OF SECTIONS, MAPPINGS ............................. 163 15. THE KAM THEOREM ............................................... 173 16. FUNDAMENTAL PRINCIPLES OF QUANTUM MECHANICS . . . . . . . . . . . . . . . . . . . . . . 181 17. FUNCTIONAL DERIVATIVE APPROACH .................................... 187 18. EXAMPLES FOR CALCULATING PATH INTEGRALS ............................. 197 19. DIRECT EVALUATION OF PATH INTEGRALS .................................. 217 20. LINEAR OSCILLATOR WITH TIME-DEPENDENT FREQUENCY ................... 227 21. PROPAGATORS FOR PARTICLES IN AN EXTERNAL MAGNETIC FIELD ............... 243 22. SIMPLE APPLICATIONS OF PROPAGATOR FUNCTIONS ........................ 249 23. THE WKB APPROXIMATION ......................................... 265 24. COMPUTING THE TRACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 25. PARTITION FUNCTION FOR THE HARMONIC OSCILLATOR . . . . . . . . . . . . . . . . . . . . . . . 281 26. INTRODUCTION TO HOMOTOPY THEORY .................................. 287 27. CLASSICAL CHERNSIMONS MECHANICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293 28. SEMICLASSICAL QUANTIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 29. THE MASLOV ANOMALY FOR THE HARMONIC OSCILLATOR .................. 311 30. MASLOV ANOMALY AND THE MORSE INDEX THEOREM ...................... 319 31. BERRYS PHASE ..................................................... 325 32. CLASSICAL ANALOGUES TO BERRYS PHASE ............................... 341 33. BERRY PHASE AND PARAMETRIC HARMONIC OSCILLATOR . . . . . . . . . . . . . . . . . . . . . 357 X CONTENTS 34. TOPOLOGICAL PHASES IN PLANAR ELECTRODYNAMICS ....................... 371 REFERENCES .......................................................... 381 INDEX ............................................................... 383
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spellingShingle	Dittrich, Walter Reuter, Martin 1958- Classical and quantum dynamics from classical paths to path integrals Hamilton-vergelijkingen gtt Intégrales de parcours Kwantummechanica gtt Niet-lineaire dynamica gtt Pad-integralen gtt Systèmes hamiltoniens Théorie quantique Théories non linéaires Quantentheorie Hamiltonian systems Nonlinear theories Path integrals Quantum theory Dynamik (DE-588)4013384-9 gnd Hamiltonsches System (DE-588)4139943-2 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd Pfadintegral (DE-588)4173973-5 gnd Mechanik (DE-588)4038168-7 gnd Quantenmechanik (DE-588)4047989-4 gnd
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title	Classical and quantum dynamics from classical paths to path integrals
title_auth	Classical and quantum dynamics from classical paths to path integrals
title_exact_search	Classical and quantum dynamics from classical paths to path integrals
title_full	Classical and quantum dynamics from classical paths to path integrals Walter Dittrich ; Martin Reuter
title_fullStr	Classical and quantum dynamics from classical paths to path integrals Walter Dittrich ; Martin Reuter
title_full_unstemmed	Classical and quantum dynamics from classical paths to path integrals Walter Dittrich ; Martin Reuter
title_short	Classical and quantum dynamics
title_sort	classical and quantum dynamics from classical paths to path integrals
title_sub	from classical paths to path integrals
topic	Hamilton-vergelijkingen gtt Intégrales de parcours Kwantummechanica gtt Niet-lineaire dynamica gtt Pad-integralen gtt Systèmes hamiltoniens Théorie quantique Théories non linéaires Quantentheorie Hamiltonian systems Nonlinear theories Path integrals Quantum theory Dynamik (DE-588)4013384-9 gnd Hamiltonsches System (DE-588)4139943-2 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd Pfadintegral (DE-588)4173973-5 gnd Mechanik (DE-588)4038168-7 gnd Quantenmechanik (DE-588)4047989-4 gnd
topic_facet	Hamilton-vergelijkingen Intégrales de parcours Kwantummechanica Niet-lineaire dynamica Pad-integralen Systèmes hamiltoniens Théorie quantique Théories non linéaires Quantentheorie Hamiltonian systems Nonlinear theories Path integrals Quantum theory Dynamik Hamiltonsches System Theoretische Mechanik Hamilton-Formalismus Pfadintegral Mechanik Quantenmechanik Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT dittrichwalter classicalandquantumdynamicsfromclassicalpathstopathintegrals AT reutermartin classicalandquantumdynamicsfromclassicalpathstopathintegrals

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