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Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics [Paperback]

Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics [Paperback]

By Hagen Kleinert (Author)
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Item description for Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics by Hagen Kleinert...

This textbook on the theory and applications of path integrals contains the solution to a number of non-trivial path integrals, most notably that of the Coulomb system. This has become possible by finding a consistent formulation of path integrals in spaces with curvature and torsion. Special emphasis is given to stability problems of path fluctuations in the presence of singular potentials such as centrifugal and angular barriers. The limitations of Feynman's time slicing procedure are exhibited and a new path integral formula is found which avoids the frequent danger of path collapse. The physically important applications to tunnelling problems are analyzed in detail. Their relevance to superconductivity and the large-order behaviour of perturbation expansions is demonstrated. The path integral description of equilibrium thermodynamics is presented, and an extension to non-equilibrium processes is presented. Much attention is paid to path integrals in spaces with topological restrictions. Their applications to entanglement problems in polymer physics and their relevance to particle statistics are discussed, also to the recently popular phenomenon of fractional statistics. Now in its second edition, the book has been extended by a more powerful variational approach which can now be applied to excited states and to tunnelling processes through high as well as low barriers. With it, the known large-order perturbation theory has been continued down to small orders. The book contains a detailed non-abelian Chern-Simons theory of polymer entanglement in terms of HOMFLY-polynomials and a discussion of anyonic aspects of the fractional quantum Hall effect and of high-Tc superconductivity. The semiclassical analysis incorporates now multidimensional systems to establish contact with recent work on chaos.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   800
Est. Packaging Dimensions:   Length: 8.5" Width: 6.03" Height: 1.66"
Weight:   2.46 lbs.
Binding  Softcover
Publisher   World Scientific Publishing Company
ISBN  9810214723  
ISBN13  9789810214722  

Availability  0 units.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Physics > General
2Books > Subjects > Professional & Technical > Professional Science > Physics > Quantum Theory
3Books > Subjects > Science > Mathematics > General
4Books > Subjects > Science > Mathematics
5Books > Subjects > Science > Physics > General
6Books > Subjects > Science > Physics > Quantum Theory

Reviews - What do customers think about Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics?

i liked it  Apr 19, 2004
So a little background on Kleinert: feynman could NOT solve the schrodinger equation with the path integral and kleinert, using some group theoretical methods did. or so that's what i was told.

His book reflects that. This book is full of interesting facts that arent elsewhere.

One of The only TWO Books to own on PI's  Mar 10, 2001
Kleinert the physicist is NOTHING short of phenomenal. This book is just one of his many treatises. After reading Feynman(+Hibbs) this is the text to follow up.

Sadly the second edition which is in print contain MANY typos.

The third edition fixes much if not all, so skip right onto the 3rd or higher edition.
Kleinerts Completeness  Jun 26, 2000
Kleinerts book "Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics" presents the reader with a very complete and very thorough discussion of path integration. The book offers such a wealth of topics,it becomes straightforward to select material, both for advanced undergraduate as well as graduate courses in theoretical physics.

Many, many issues dealt with in this volume have appeared here for the first time, such as the inclucion of the quantum mechanics of the hydrogen atom through path integrals. This book is a major step towards bringing this approach to quantum physics onto the same educational footing as the Schrödinger equation that standard texts focus on. This book profits from the clarity and conciseness that is also a hallmark of Kleinerts scientific papers.

I would say this volume is highly recommendable for any student considering to major in {theoretical} physics, and an absolute must for any lecturer in this area. Infact, I don't know of any excuse not to have your own copy.


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