Feynman Integrals and the Schrödinger Equation
- 1 March 1964
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (3) , 332-343
- https://doi.org/10.1063/1.1704124
Abstract
Feynman integrals, in the context of the Schrödinger equation with a scalar potential, are defined by means of an analytic continuation in the mass parameter from the corresponding Wiener integrals. The method yields a new interpretation of highly singular attractive potentials in quantum mechanics. For the example of the attractive 1/r2 potential, this interpretation agrees with classical mechanics in the correspondence limit.Keywords
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