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Titlebook: Supersymmetric Methods in Quantum and Statistical Physics; Georg Junker Book 1996 Springer-Verlag Berlin Heidelberg 1996 Dirac equation.Po

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书目名称Supersymmetric Methods in Quantum and Statistical Physics
编辑Georg Junker
视频videohttp://file.papertrans.cn/882/881927/881927.mp4
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Supersymmetric Methods in Quantum and Statistical Physics;  Georg Junker Book 1996 Springer-Verlag Berlin Heidelberg 1996 Dirac equation.Po
描述The idea of supersymmetry was originally introduced in relativistic quantum field theories as a generalization of Poincare symmetry. In 1976 Nicolai sug­ gested an analogous generalization for non-relativistic quantum mechanics. With the one-dimensional model introduced by Witten in 1981, supersym­ metry became a major tool in quantum mechanics and mathematical, sta­ tistical, and condensed-IIll;l. tter physics. Supersymmetry is also a successful concept in nuclear and atomic physics. An underlying supersymmetry of a given quantum-mechanical system can be utilized to analyze the properties of the system in an elegant and effective way. It is even possible to obtain exact results thanks to supersymmetry. The purpose of this book is to give an introduction to supersymmet­ ric quantum mechanics and review some of the recent developments of vari­ ous supersymmetric methods in quantum and statistical physics. Thereby we will touch upon some topics related to mathematical and condensed-matter physics. A discussion of supersymmetry in atomic and nuclear physics is omit­ ted. However, the reader will find some references in Chap. 9. Similarly, super­ symmetric field theories and supergravi
出版日期Book 1996
关键词Dirac equation; Potential; dynamical systems; eigenvalue; mechanics; quantization; quantum mechanics; stati
版次1
doihttps://doi.org/10.1007/978-3-642-61194-0
isbn_softcover978-3-642-64742-0
isbn_ebook978-3-642-61194-0Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 1996
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发表于 2025-3-22 00:14:38 | 显示全部楼层
Introduction,p. Symmetry of a system in motion is represented by a continuous group. The mirror-image symmetry of a system can be described by a discrete group of reflections and uniformity of time flow may be seen as a consequence of invariance under a continuous group of time translations.
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Supersymmetric Quantum Mechanics,ron gas in a magnetic field. However, only for . ≥ 2 we will find the typical properties of supersymmetric quantum mechanics. In particular, . ≥2 allows the introduction of the so-called Witten parity and thus implies a natural grading of the Hilbert space into two subspaces.
发表于 2025-3-22 06:58:34 | 显示全部楼层
Supersymmetric Classical Mechanics,cal mechanics is of particular interest because of its ability to describe spin-degrees of freedom on a classical level [BeMa75, Cas76a, BaCaLu76, BrDeZuVeHo76, BeMa77, BaBoCa81, LaDoGu93]. For an alternative classical spin model see [BaZa84, Bar86].
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1864-5879 Nicolai sug­ gested an analogous generalization for non-relativistic quantum mechanics. With the one-dimensional model introduced by Witten in 1981, supersym­ metry became a major tool in quantum mechanics and mathematical, sta­ tistical, and condensed-IIll;l. tter physics. Supersymmetry is also a
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Supersymmetric Quantum Mechanics,as first been formulated by Nicolai [Nic76] in his search for supersymmetry in non-relativistic quantimi systems related to models of statistical physics. Witten’s [Wit8l, Wit82a] approach has been for a general . ≥ 1 but, for . ≥ 2, has the same features as Nicolai’s formulation. Here we will prese
发表于 2025-3-23 07:51:00 | 显示全部楼层
The Witten Model, to serve as a simple example for studying the SUSY-breaking mechanism in quantum field theories. However, in the last decade this model has found applications in many other areas of theoretical physics. Some of these applications will be discussed in this book.
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