### 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 |
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Pages (from-to) | 244-259 |

Journal | Journal of Mathematical Physics |

Volume | 41 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2000 |

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## Cite this

Wittich, O. (2000). A transformation of a Feynman-Kac formula for holomorphic families of type B.

*Journal of Mathematical Physics*,*41*(1), 244-259. https://doi.org/10.1063/1.533146