Density Matrix Theory and Applications:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Springer US
1996
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Physics of Atoms and Molecules
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4757-4931-1 |
| Beschreibung: | Quantum mechanics has been mostly concerned with those states of systems that are represented by state vectors. In many cases, however, the system of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classical physics. The density matrix was introduced by J. von Neumann in 1927 to describe statistical concepts in quantum mechanics. The main virtue of the density matrix is its analytical power in the construction of general formulas and in the proof of general theorems. The evaluation of averages and probabilities of the physical quantities characterizing a given system is extremely cumbersome without the use of density matrix techniques. The representation of quantum mechanical states by density matrices enables the maximum information available on the system to be expressed in a compact manner and hence avoids the introduction of unnecessary variables. The use of density matrix methods also has the advan tage of providing a uniform treatment of all quantum mechanical states, whether they are completely or incompletely known. Until recently the use of the density matrix method has been mainly restricted to statistical physics. In recent years, however, the application of the density matrix has been gaining more and more importance in many other fields of physics |
| Umfang: | 1 Online-Ressource (XV, 327 p) |
| ISBN: | 9781475749311 9781441932570 |
| DOI: | 10.1007/978-1-4757-4931-1 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042412383 | ||
| 003 | DE-604 | ||
| 005 | 20151110 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150316s1996 xx o|||| 00||| eng d | ||
| 020 | |a 9781475749311 |c Online |9 978-1-4757-4931-1 | ||
| 020 | |a 9781441932570 |c Print |9 978-1-4419-3257-0 | ||
| 024 | 7 | |a 10.1007/978-1-4757-4931-1 |2 doi | |
| 035 | |a (OCoLC)905455687 | ||
| 035 | |a (DE-599)BVBBV042412383 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-83 | ||
| 082 | 0 | |a 539 |2 23 | |
| 084 | |a PHY 000 |2 stub | ||
| 084 | |a PHY 026f |2 stub | ||
| 084 | |a PHY 500f |2 stub | ||
| 100 | 1 | |a Blum, Karl |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Density Matrix Theory and Applications |c by Karl Blum |
| 250 | |a Second Edition | ||
| 264 | 1 | |a Boston, MA |b Springer US |c 1996 | |
| 300 | |a 1 Online-Ressource (XV, 327 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Physics of Atoms and Molecules | |
| 500 | |a Quantum mechanics has been mostly concerned with those states of systems that are represented by state vectors. In many cases, however, the system of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classical physics. The density matrix was introduced by J. von Neumann in 1927 to describe statistical concepts in quantum mechanics. The main virtue of the density matrix is its analytical power in the construction of general formulas and in the proof of general theorems. The evaluation of averages and probabilities of the physical quantities characterizing a given system is extremely cumbersome without the use of density matrix techniques. The representation of quantum mechanical states by density matrices enables the maximum information available on the system to be expressed in a compact manner and hence avoids the introduction of unnecessary variables. The use of density matrix methods also has the advan tage of providing a uniform treatment of all quantum mechanical states, whether they are completely or incompletely known. Until recently the use of the density matrix method has been mainly restricted to statistical physics. In recent years, however, the application of the density matrix has been gaining more and more importance in many other fields of physics | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Atomic, Molecular, Optical and Plasma Physics | |
| 650 | 4 | |a Quantum Physics | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 0 | 7 | |a Dichtematrix |0 (DE-588)4149624-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Atomphysik |0 (DE-588)4003423-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dichtematrix |0 (DE-588)4149624-3 |D s |
| 689 | 0 | 1 | |a Atomphysik |0 (DE-588)4003423-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4757-4931-1 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-PHA_Archive | |
| 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:BVB01-027847876 | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 2061702 |
|---|---|
| _version_ | 1821931276424183808 |
| any_adam_object | |
| author | Blum, Karl |
| author_facet | Blum, Karl |
| author_role | aut |
| author_sort | Blum, Karl |
| author_variant | k b kb |
| building | Verbundindex |
| bvnumber | BV042412383 |
| classification_tum | PHY 000 PHY 026f PHY 500f |
| collection | ZDB-2-PHA ZDB-2-BAE |
| ctrlnum | (OCoLC)905455687 (DE-599)BVBBV042412383 |
| dewey-full | 539 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539 |
| dewey-search | 539 |
| dewey-sort | 3539 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-1-4757-4931-1 |
| edition | Second Edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03249nam a2200541zc 4500</leader><controlfield tag="001">BV042412383</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20151110 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150316s1996 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781475749311</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4757-4931-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441932570</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4419-3257-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4757-4931-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)905455687</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042412383</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">539</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 026f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 500f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Blum, Karl</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Density Matrix Theory and Applications</subfield><subfield code="c">by Karl Blum</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Springer US</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XV, 327 p)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Physics of Atoms and Molecules</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Quantum mechanics has been mostly concerned with those states of systems that are represented by state vectors. In many cases, however, the system of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classical physics. The density matrix was introduced by J. von Neumann in 1927 to describe statistical concepts in quantum mechanics. The main virtue of the density matrix is its analytical power in the construction of general formulas and in the proof of general theorems. The evaluation of averages and probabilities of the physical quantities characterizing a given system is extremely cumbersome without the use of density matrix techniques. The representation of quantum mechanical states by density matrices enables the maximum information available on the system to be expressed in a compact manner and hence avoids the introduction of unnecessary variables. The use of density matrix methods also has the advan tage of providing a uniform treatment of all quantum mechanical states, whether they are completely or incompletely known. Until recently the use of the density matrix method has been mainly restricted to statistical physics. In recent years, however, the application of the density matrix has been gaining more and more importance in many other fields of physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Atomic, Molecular, Optical and Plasma Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantentheorie</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dichtematrix</subfield><subfield code="0">(DE-588)4149624-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Atomphysik</subfield><subfield code="0">(DE-588)4003423-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dichtematrix</subfield><subfield code="0">(DE-588)4149624-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Atomphysik</subfield><subfield code="0">(DE-588)4003423-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4757-4931-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-PHA_Archive</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:BVB01-027847876</subfield></datafield></record></collection> |
| id | DE-604.BV042412383 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:26Z |
| institution | BVB |
| isbn | 9781475749311 9781441932570 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027847876 |
| oclc_num | 905455687 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (XV, 327 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer US |
| record_format | marc |
| series2 | Physics of Atoms and Molecules |
| spellingShingle | Blum, Karl Density Matrix Theory and Applications Physics Quantum theory Atomic, Molecular, Optical and Plasma Physics Quantum Physics Quantentheorie Dichtematrix (DE-588)4149624-3 gnd Atomphysik (DE-588)4003423-9 gnd |
| subject_GND | (DE-588)4149624-3 (DE-588)4003423-9 |
| title | Density Matrix Theory and Applications |
| title_auth | Density Matrix Theory and Applications |
| title_exact_search | Density Matrix Theory and Applications |
| title_full | Density Matrix Theory and Applications by Karl Blum |
| title_fullStr | Density Matrix Theory and Applications by Karl Blum |
| title_full_unstemmed | Density Matrix Theory and Applications by Karl Blum |
| title_short | Density Matrix Theory and Applications |
| title_sort | density matrix theory and applications |
| topic | Physics Quantum theory Atomic, Molecular, Optical and Plasma Physics Quantum Physics Quantentheorie Dichtematrix (DE-588)4149624-3 gnd Atomphysik (DE-588)4003423-9 gnd |
| topic_facet | Physics Quantum theory Atomic, Molecular, Optical and Plasma Physics Quantum Physics Quantentheorie Dichtematrix Atomphysik |
| url | https://doi.org/10.1007/978-1-4757-4931-1 |
| work_keys_str_mv | AT blumkarl densitymatrixtheoryandapplications |