Summation over Feynman histories: the free particle and the harmonic oscillator-Reference-Cited by-同舟云学术

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Summation over Feynman histories: the free particle and the harmonic oscillator

Published:1957-01 Issue:1 Volume:53 Page:199-205
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Davies H.

Abstract

ABSTRACTUsing a particular parametrization of paths, the free particle and the harmonic oscillator are treated by the Feynman method of summation over histories of the system. The propagators obtained are, apart from an arbitrary phase factor, those of conventional quantum mechanics.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference3 articles.

1. On the Definition and Approximation of Feynman's Path Integrals

2. On Feynmann’s ‘integral over all paths’

3. Space-Time Approach to Non-Relativistic Quantum Mechanics

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Fourier series representations of path integrals;Journal of Mathematical Physics;1984-10

2. A nonstandard infinite dimensional vector space approach to Gaussian functional measures;Journal of Mathematical Physics;1982-06

3. Continuum calculus and Feynman’s path integrals;Journal of Mathematical Physics;1976-11

4. Behaviour of the charge carriers in a random force field and some problems of the electronic theory of disordered semiconductors;La Rivista del Nuovo Cimento;1973-10

5. On the exact propagator;Journal of Physics A: General Physics;1971-09

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