A new expansion method in the Feynman path integral formalism: Application to a one-dimensional delta-function potential

M. J. Goovaerts; A. Babcenco; J. T. Devreese

doi:10.1063/1.1666355

A new expansion method in the Feynman path integral formalism: Application to a one-dimensional delta-function potential

M. J. Goovaerts, A. Babcenco, J. T. Devreese

Research output › peer-review

Abstract

An expansion method in the path-integral formulation of quantum mechanics, as proposed in a previous paper, is extended to account for states with odd parity. The method is tested on the case of a one-dimensional attractive delta-function potential and the well-known solutions for both bound and scattering states are obtained analytically by an exact summation of the expansion series. The applicability of the method is discussed and it is shown how the energy spectrum could be determined by means of Stieltjes theory of moments.

Original language	English
Pages (from-to)	554-559
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	14
Issue number	5
DOIs	https://doi.org/10.1063/1.1666355
State	Published - 1973
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.1666355

Cite this

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abstract = "An expansion method in the path-integral formulation of quantum mechanics, as proposed in a previous paper, is extended to account for states with odd parity. The method is tested on the case of a one-dimensional attractive delta-function potential and the well-known solutions for both bound and scattering states are obtained analytically by an exact summation of the expansion series. The applicability of the method is discussed and it is shown how the energy spectrum could be determined by means of Stieltjes theory of moments.",

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