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

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

81 Downloads (Pure)

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

Access to Document

10.1063/1.533146

Metis201116Final published version, 135 KB

Fingerprint Dive into the research topics of 'A transformation of a Feynman-Kac formula for holomorphic families of type B'. Together they form a unique fingerprint.

Cite this

@article{c59adffc8ca84b3ab3a58e6d9f57f452,

title = "A transformation of a Feynman-Kac formula for holomorphic families of type B",

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.",

author = "O. Wittich",

year = "2000",

doi = "10.1063/1.533146",

language = "English",

volume = "41",

pages = "244--259",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "1",

}

TY - JOUR

T1 - A transformation of a Feynman-Kac formula for holomorphic families of type B

AU - Wittich, O.

PY - 2000

Y1 - 2000

N2 - 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.

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.

U2 - 10.1063/1.533146

DO - 10.1063/1.533146

M3 - Article

VL - 41

SP - 244

EP - 259

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -