{"id":963,"date":"2012-01-29T18:58:35","date_gmt":"2012-01-29T17:58:35","guid":{"rendered":"http:\/\/blogs.scienceforums.net\/ajb\/?p=963"},"modified":"2012-01-29T18:58:35","modified_gmt":"2012-01-29T17:58:35","slug":"supersymmetric-methods-in-quantum-and-statistical-physics-by-g-junker","status":"publish","type":"post","link":"http:\/\/blogs.scienceforums.net\/ajb\/2012\/01\/29\/supersymmetric-methods-in-quantum-and-statistical-physics-by-g-junker\/","title":{"rendered":"Supersymmetric Methods in Quantum and Statistical Physics by G. Junker"},"content":{"rendered":"\n\n\n
\"\"Supersymmetric Methods in Quantum and Statistical Physics <\/a>\"\"<\/td>\nSupersymmetry is a very important topic in high energy physics, from both theoretical and phenomenological points of view. What is less well-known is the fact that supersymmetry is also a very powerful mathematical idea in quantum mechanics and statistical physics. Supersymmetric Methods in Quantum and Statistical Physics <\/em> by Georg Junker gives an introduction to supersymmetric quantum mechanics and supersymmetric methods in statistical physics.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The book assumes some familiarity with quantum mechanics, though no knowledge of quantum field theory or supersymmetry is assumed.<\/p>\n

The main topics are the Witten model, supersymmetric classical mechanics, shape-invariant potentials and exact solutions, supersymmetry in classical stocastic dynamics and supersymmetry in the Pauli & Dirac equations. Once supersymmetric mechanics was seen as a “test model” for theoretical high energy physics, but the ideas have now reached wider interest in physics.<\/p>\n

Chapter 1 starts with a general introduction to supersymmetry. This chapter exposes the reader to basic ideas of supersymmetry in field theory and introduces supersymmetric quantum mechanics.<\/p>\n

Supersymmetric quantum mechanics is the topic of Chapter 2. Here one is introduced to supersymmetry in quantum mechanics rather generally and then Witten’s N=2 supersymmetric model which is the main focus of most approaches to supersymmetric quantum mechanics.<\/p>\n

In Chaper 3 the Witten model is discussed in further detail. Topics here include: Witten parity, the SUSY potential, zero-energy states & good SUSY and the asymptotic behaviour of the SUSY potential. Examples are included.<\/p>\n

In Chapter 4 supersymmetric classical mechanics is reviewed. Topics here include: pseudoclassical mechanics, supersymmetric classical mechanics, the classical dynamics and quantisation via the canonical approach and path-integrals.<\/p>\n

Exact solutions of the eigenvalue problem is the subject of Chapter 5. Here the reader is introduced to shape-invariant potentials and exact solutions. Examples and a comparison to the factorisation method are presented.<\/p>\n

Chapter 6 discusses path-integration in further detail. Topics include: the WKB approximation, quasi-classical quantisation conditions and quasi-clasical eigenfunctions. Exactly solvable examples are presented as well as some numerical investigations.<\/p>\n

Supersymmetry in classical stochastic dynamics is the subject of Chapter 7. Topics include: supersymmetry in the Fokker-Planck & Lengevin equations and the implications of good\/broken supersymmetry.<\/p>\n

Chapter 8 discusses supersymmetry in the Pauli & Dirac equations.<\/p>\n

The final chapter, Chapter 8 gives concluding remarks and an overview. Here a list of textbooks covering supersymmetry in high energy physics is give. A table of applications of supersymmetry in theoretical physics is also included.<\/p>\n

A rather large set of references is given.<\/p>\n

Hardcover: 172 pages
\nPublisher: Springer (September 30, 1996)
\nLanguage: English
\nISBN-10: 3540615911
\nISBN-13: 978-3540615910<\/p>\n","protected":false},"excerpt":{"rendered":"

Supersymmetric Methods in Quantum and Statistical Physics Supersymmetry is a very important topic in high energy physics, from both theoretical and phenomenological points of view. What is less well-known is the fact that supersymmetry is also a very powerful mathematical idea in quantum mechanics and statistical physics. Supersymmetric Methods in Quantum and Statistical Physics by … Continue reading Supersymmetric Methods in Quantum and Statistical Physics by G. Junker<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-963","post","type-post","status-publish","format-standard","hentry","category-book-reviews"],"_links":{"self":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts\/963","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/comments?post=963"}],"version-history":[{"count":0,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts\/963\/revisions"}],"wp:attachment":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/media?parent=963"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/categories?post=963"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/tags?post=963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}