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Path integrals in quantum mechanics, statistics, polymer physics, and financial markets

Author: Hagen Kleinert
Publisher: Singapore ; River Edge, NJ : World Scientific, ©2004.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Summary:
"This is the third significantly expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which  Read more...
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Document Type: Book
All Authors / Contributors: Hagen Kleinert
ISBN: 9812381066 9789812381064 9812381074 9789812381071
OCLC Number: 55063068
Notes: Errata slip tipped in.
Description: xxxvi, 1468 pages : illustrations ; 24 cm
Contents: 1. Fundamentals --
2. Path integrals --
elementary properties and simple solutions --
3. External sources, correlations, and perturbation theory --
4. Semiclassical time evolution amplitude --
5. Variational perturbation theory --
6. Path integrals with topological constraints --
7. Many particle orbits --
statistics and second quantization --
8. Path integrals in spherical coordinates --
9. Fixed-energy amplitude and wave functions --
10. Spaces with curvature and torsion --
11. Schrodinger equation in general metric-affine spaces --
12. New path integral formula for singular potentials --
13. Path integral of Coulomb system --
14. Solution of further path integrals by the Duru-Kleinert method --
15. Path integrals in polymer physics --
16. Polymers and particle orbits in multiply connected spaces --
17. Tunneling --
18. Nonequilibrium quantum statistics --
19. Relativistic particle orbits --
20. Path integrals and financial markets.
Responsibility: Hagen Kleinert.

Abstract:

This is the third, significantly expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path  Read more...

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"Kleinert's book presents the reader with a very complete and very thorough discussion of path integration... a new extensive and, again, rather complete chapter has been added on the use of path Read more...

 
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