Rigorous Time Slicing Approach to Feynman Path Integrals
Author:   Daisuke Fujiwara
Publisher:   Springer Verlag, Japan
Edition:   1st ed. 2017
ISBN:  

9784431565512


Pages:   333
Publication Date:   06 July 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Rigorous Time Slicing Approach to Feynman Path Integrals


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Author:   Daisuke Fujiwara
Publisher:   Springer Verlag, Japan
Imprint:   Springer Verlag, Japan
Edition:   1st ed. 2017
Weight:   6.387kg
ISBN:  

9784431565512


ISBN 10:   4431565515
Pages:   333
Publication Date:   06 July 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Part I Convergence of Time Slicing Approximation of Feynman Path Integrals.- 1 Feynman’s idea.- 2 Assumption on Potentials.- 3 Path Integrals and Oscillatory Integrals.- 4 Statement of Main Results.- 5 Convergence of Feynman Path Integrals.- 6 Feynman Path Integral and Schr¨odinger Equation.- Part II Supplement–Some Results of Real Analysis.- 7 Kumano-go–Taniguchi Theorem.- 8 Stationary Phase Method for Oscillatory Integrals over a Space of Large Dimension.- 9 L2-boundedness of Oscillatory Integral Operators.- Bibliography.- Index.

Reviews

“The book was first published in Japanese in 1999, and this English version includes some new results published after 1999. The book ends with References and an Index. It is recommended for mathematicians and physicists interested in advanced mathematical methods in quantum physics.” (Michael M. Dediu, Mathematical Reviews, February, 2018)


The book was first published in Japanese in 1999, and this English version includes some new results published after 1999. The book ends with References and an Index. It is recommended for mathematicians and physicists interested in advanced mathematical methods in quantum physics. (Michael M. Dediu, Mathematical Reviews, February, 2018)


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