The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Series: | Texts and Monographs in Physics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theory of molecular physics). The mathematical methods used are a combination of differential geometry and the theory of linear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum mechanics and how to measure them |
| Physical Description: | 1 Online-Ressource (XXI, 427 p) |
| ISBN: | 9783662103333 9783642055041 |
| ISSN: | 1864-5879 |
| DOI: | 10.1007/978-3-662-10333-3 |
Staff View
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| illustrated | Not Illustrated |
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| isbn | 9783662103333 9783642055041 |
| issn | 1864-5879 |
| language | English |
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| spelling | Bohm, Arno Verfasser aut The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics by Arno Bohm, Ali Mostafazadeh, Hiroyasu Koizumi, Qian Niu, Joseph Zwanziger Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (XXI, 427 p) txt rdacontent c rdamedia cr rdacarrier Texts and Monographs in Physics 1864-5879 Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theory of molecular physics). The mathematical methods used are a combination of differential geometry and the theory of linear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum mechanics and how to measure them Physics Geometry Quantum theory Quantum Physics Quantum Information Technology, Spintronics Atomic, Molecular, Optical and Plasma Physics Solid State Physics Spectroscopy and Microscopy Quantentheorie Berry-Phase (DE-588)4296737-5 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Berry-Phase (DE-588)4296737-5 s DE-604 Mostafazadeh, Ali Sonstige oth Koizumi, Hiroyasu Sonstige oth Niu, Qian Sonstige oth Zwanziger, Joseph Sonstige oth https://doi.org/10.1007/978-3-662-10333-3 Verlag Volltext |
| spellingShingle | Bohm, Arno The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics Physics Geometry Quantum theory Quantum Physics Quantum Information Technology, Spintronics Atomic, Molecular, Optical and Plasma Physics Solid State Physics Spectroscopy and Microscopy Quantentheorie Berry-Phase (DE-588)4296737-5 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4296737-5 (DE-588)4300046-0 |
| title | The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics |
| title_auth | The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics |
| title_exact_search | The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics |
| title_full | The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics by Arno Bohm, Ali Mostafazadeh, Hiroyasu Koizumi, Qian Niu, Joseph Zwanziger |
| title_fullStr | The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics by Arno Bohm, Ali Mostafazadeh, Hiroyasu Koizumi, Qian Niu, Joseph Zwanziger |
| title_full_unstemmed | The Geometric Phase in Quantum Systems Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics by Arno Bohm, Ali Mostafazadeh, Hiroyasu Koizumi, Qian Niu, Joseph Zwanziger |
| title_short | The Geometric Phase in Quantum Systems |
| title_sort | the geometric phase in quantum systems foundations mathematical concepts and applications in molecular and condensed matter physics |
| title_sub | Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics |
| topic | Physics Geometry Quantum theory Quantum Physics Quantum Information Technology, Spintronics Atomic, Molecular, Optical and Plasma Physics Solid State Physics Spectroscopy and Microscopy Quantentheorie Berry-Phase (DE-588)4296737-5 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Physics Geometry Quantum theory Quantum Physics Quantum Information Technology, Spintronics Atomic, Molecular, Optical and Plasma Physics Solid State Physics Spectroscopy and Microscopy Quantentheorie Berry-Phase Quantenmechanisches System |
| url | https://doi.org/10.1007/978-3-662-10333-3 |
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