Supersymmetric methods in quantum, statistical and solid state physics
As with the earlier edition, this book provides an accessible introduction to supersymmetric quantum mechanics and its applications in quantum, statistical and solid state physics. Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years including conditionally exactly solvable systems, models of classical field theory and the many new interesting aspects within the area of stochastic dynamics, the P…
Read More ↓Title Statements
- Full title :Supersymmetric methods in quantum, statistical and solid state physics / Georg Junker.
Summary
As with the earlier edition, this book provides an accessible introduction to supersymmetric quantum mechanics and its applications in quantum, statistical and solid state physics. Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years including conditionally exactly solvable systems, models of classical field theory and the many new interesting aspects within the area of stochastic dynamics, the Pauli and Dirac Equation, coherent states and non-linear algebras. Aimed at graduate students and scientists this book provides a thorough review on supersymmetric quantum mechanics and now includes problems and solutions.
Read More ↓Edition Statements
- Publication Date:2019
- Edition:Enlarged and revised edition
Publication Statements
- Publisher(s):IOP Publishing
- Place of Publication:Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
- Language:eng
- Publication Date:2019
Notes
"Version: 20190101"--Title page verso
"This is a revised and enlarged edition of the monograph previously published by Springer in 1996 under the slightly shorter title Supersymmetric methods in quantum and statistical physics"--Page xi
Title from PDF title page (viewed on February 4, 2019).
The Physical Object
- Description:1 online resource (various pagings) : : illustrations
Edition Identifiers
- ISBN:9780750320269, 0750320265, 9780750320252, 0750320257
- DOI:10.1088/2053-2563/aae6d5
- oclc:on1084752470
- LC Classification:QC174.17.S9
- Dewey Decimal:530.1/2
Table of Contents
1. Introduction -- 2. Supersymmetric quantum mechanics -- 2.1. Definition of SUSY quantum mechanics -- 2.2. Properties of N = 2 SUSY quantum mechanics -- 2.3. Problems
3. The Witten model -- 3.1. Witten's model and its modification -- 3.2. Witten parity and SUSY transformation -- 3.3. The SUSY potential and zero-energy states -- 3.4. Broken versus good SUSY -- 3.5. SUSY transformations for continuum states -- 3.6. Examples -- 3.7. Problems
4. One-dimensional quantum systems -- 4.1. Supersymmetrisation of one-dimensional systems -- 4.2. Shape-invariance and exact solutions -- 4.3. The Darboux transformation method -- 4.4. A SUSY-partner family for the harmonic oscillator -- 4.5. Classical fields in (1 + 1) dimensions -- 4.6. Problems
5. Supersymmetric classical mechanics -- 5.1. Pseudoclassical models -- 5.2. A supersymmetric classical model -- 5.3. The classical dynamics -- 5.4. Discussion of the fermionic phase -- 5.5. Quantisation -- 5.6. Problems
6. Quasi-classical approximation -- 6.1. The path-integral formalism -- 6.2. Quasi-classical quantisation conditions -- 6.3. Quasi-classical eigenfunctions -- 6.4. Discussion of the results -- 6.5. Problems
7. Supersymmetry in cla…
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