On Quantum Statistical Mechanics: A Study Guide
We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. These include...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/9343717 |
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| _version_ | 1832554383037956096 |
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| author | Wladyslaw Adam Majewski |
| author_facet | Wladyslaw Adam Majewski |
| author_sort | Wladyslaw Adam Majewski |
| collection | DOAJ |
| description | We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. These include the emergence of algebraic approach and the necessity of employment of infinite-dimensional structures. As an illustration, a quantization of stochastic processes, new formalism for statistical mechanics, quantum field theory, and quantum correlations are discussed. |
| format | Article |
| id | doaj-art-bb7d57e295d04cb48859a63b61540164 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-bb7d57e295d04cb48859a63b615401642025-02-03T05:51:47ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/93437179343717On Quantum Statistical Mechanics: A Study GuideWladyslaw Adam Majewski0Institute of Theoretical Physics and Astrophysics, The University of Gdansk, Wita Stwosza 57, Gdansk 80-952, PolandWe provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. These include the emergence of algebraic approach and the necessity of employment of infinite-dimensional structures. As an illustration, a quantization of stochastic processes, new formalism for statistical mechanics, quantum field theory, and quantum correlations are discussed.http://dx.doi.org/10.1155/2017/9343717 |
| spellingShingle | Wladyslaw Adam Majewski On Quantum Statistical Mechanics: A Study Guide Advances in Mathematical Physics |
| title | On Quantum Statistical Mechanics: A Study Guide |
| title_full | On Quantum Statistical Mechanics: A Study Guide |
| title_fullStr | On Quantum Statistical Mechanics: A Study Guide |
| title_full_unstemmed | On Quantum Statistical Mechanics: A Study Guide |
| title_short | On Quantum Statistical Mechanics: A Study Guide |
| title_sort | on quantum statistical mechanics a study guide |
| url | http://dx.doi.org/10.1155/2017/9343717 |
| work_keys_str_mv | AT wladyslawadammajewski onquantumstatisticalmechanicsastudyguide |