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Techniques and applications of path ...
~
Schulman, L. S. (1941-)
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Techniques and applications of path integration /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Techniques and applications of path integration // L.S. Schulman.
作者:
Schulman, L. S.
出版者:
New York ;John Wiley, : 1996, c1981.,
面頁冊數:
xv, 359 p. ;23 cm.
附註:
Includes index.
內容註:
1. Introducing and Defining the Path Integral -- Appendix: The Trotter Product Formula -- 2. Probabilities and Probability Amplitudes for Paths -- 3. Correspondence Limit for the Path Integral (Heuristic) -- Appendix: Useful Integrals -- 4. Vector Potentials and Another Proof of the Path Integral Formula -- 5. The Ito Integral and Gauge Transformations -- 6. Doing the Integral: Free Particle and Quadratic Lagrangians -- Appendix: Exactness of the Sum over Classical Paths -- 7. Properties of Green's Functions; the Feynman-Kac Formula -- 8. Functional Derivatives and Commutation Relations -- 9. Brownian Motion and the Wiener Integral; Kac's Proof -- 10. Perturbation, Theory and Feynman Diagrams -- 11. Asymptotic Analysis -- 12. The Calculus of Variations -- 13. The WKB Approximation and its Application to the Anharmonic Oscillator -- 14. Detailed Presentation of the WKB Approximation -- 15. WKB Near Caustics -- 16. Caustics and Uniform Asymptotic Approximations.
標題:
Path integrals. -
ISBN:
0471166103 (pbk.)
Techniques and applications of path integration /
Schulman, L. S.1941-
Techniques and applications of path integration /
L.S. Schulman. - New York ;John Wiley,1996, c1981. - xv, 359 p. ;23 cm. - Wiley Classics Library.
Includes index.
1. Introducing and Defining the Path Integral -- Appendix: The Trotter Product Formula -- 2. Probabilities and Probability Amplitudes for Paths -- 3. Correspondence Limit for the Path Integral (Heuristic) -- Appendix: Useful Integrals -- 4. Vector Potentials and Another Proof of the Path Integral Formula -- 5. The Ito Integral and Gauge Transformations -- 6. Doing the Integral: Free Particle and Quadratic Lagrangians -- Appendix: Exactness of the Sum over Classical Paths -- 7. Properties of Green's Functions; the Feynman-Kac Formula -- 8. Functional Derivatives and Commutation Relations -- 9. Brownian Motion and the Wiener Integral; Kac's Proof -- 10. Perturbation, Theory and Feynman Diagrams -- 11. Asymptotic Analysis -- 12. The Calculus of Variations -- 13. The WKB Approximation and its Application to the Anharmonic Oscillator -- 14. Detailed Presentation of the WKB Approximation -- 15. WKB Near Caustics -- 16. Caustics and Uniform Asymptotic Approximations.
ISBN: 0471166103 (pbk.)
LCCN: 80019129Subjects--Topical Terms:
699909
Path integrals.
Subjects--Index Terms:
Physics
LC Class. No.: QC174.17.P27 / S38 1996
Dewey Class. No.: 530.15543
Techniques and applications of path integration /
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1. Introducing and Defining the Path Integral -- Appendix: The Trotter Product Formula -- 2. Probabilities and Probability Amplitudes for Paths -- 3. Correspondence Limit for the Path Integral (Heuristic) -- Appendix: Useful Integrals -- 4. Vector Potentials and Another Proof of the Path Integral Formula -- 5. The Ito Integral and Gauge Transformations -- 6. Doing the Integral: Free Particle and Quadratic Lagrangians -- Appendix: Exactness of the Sum over Classical Paths -- 7. Properties of Green's Functions; the Feynman-Kac Formula -- 8. Functional Derivatives and Commutation Relations -- 9. Brownian Motion and the Wiener Integral; Kac's Proof -- 10. Perturbation, Theory and Feynman Diagrams -- 11. Asymptotic Analysis -- 12. The Calculus of Variations -- 13. The WKB Approximation and its Application to the Anharmonic Oscillator -- 14. Detailed Presentation of the WKB Approximation -- 15. WKB Near Caustics -- 16. Caustics and Uniform Asymptotic Approximations.
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