A transformation of a Feynman-Kac formula for holomorphic families of type B

O. Wittich

doi:10.1063/1.533146

A transformation of a Feynman-Kac formula for holomorphic families of type B

O. Wittich

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Abstract

A transformation formula for resolvents of families of Schrödinger operators H(xi) = –1/2(delta) +(xi)Q, which are assumed to be holomorphic of type B, is proved. It can be used to derive the well-known correspondence between three-dimensional Coulomb problem and four-dimensional harmonic oscillator.

Original language	English
Pages (from-to)	244-259
Journal	Journal of Mathematical Physics
Volume	41
Issue number	1
DOIs	https://doi.org/10.1063/1.533146
Publication status	Published - 2000

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abstract = "A transformation formula for resolvents of families of Schr{\"o}dinger operators H(xi) = –1/2(delta) +(xi)Q, which are assumed to be holomorphic of type B, is proved. It can be used to derive the well-known correspondence between three-dimensional Coulomb problem and four-dimensional harmonic oscillator.",

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AB - A transformation formula for resolvents of families of Schrödinger operators H(xi) = –1/2(delta) +(xi)Q, which are assumed to be holomorphic of type B, is proved. It can be used to derive the well-known correspondence between three-dimensional Coulomb problem and four-dimensional harmonic oscillator.

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JF - Journal of Mathematical Physics

SN - 0022-2488

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A transformation of a Feynman-Kac formula for holomorphic families of type B

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