Rigorous Time Slicing Approach to Feynman Path Integrals
β Scribed by Daisuke Fujiwara (auth.)
- Publisher
- Springer Japan
- Year
- 2017
- Tongue
- English
- Leaves
- 333
- Series
- Mathematical Physics Studies
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Feynmanβs Idea....Pages 3-19
Assumption on Potentials....Pages 21-38
Path Integrals and Oscillatory Integrals....Pages 39-77
Statement of Main Results....Pages 79-95
Convergence of Feynman Path Integrals....Pages 97-135
Feynman Path Integral and SchrΓΆdinger Equation....Pages 137-186
Front Matter....Pages 187-187
Kumano-goβTaniguchi Theorem....Pages 189-243
Stationary Phase Method for Oscillatory Integrals over a Space of Large Dimension ....Pages 245-309
(L^2) -boundedness of Oscillatory Integral Operators....Pages 311-325
Back Matter....Pages 327-333
β¦ Subjects
Mathematical Physics;Functional Analysis;Partial Differential Equations;Fourier Analysis
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