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FUNCTIONAL-INTEGRAL SOLUTION FOR THE SCHRÖDINGER EQUATION WITH POLYNOMIAL POTENTIAL: A WHITE NOISE APPROACH

SONIA MAZZUCCHI

CIRM (Centro Internazionale per la Ricerca Matematica), FBK, Trento I-38123, Italy

https://doi.org/10.1142/S0219025711004572Cited by:8 (Source: Crossref)

Abstract

A functional integral representation for the weak solution of the Schrödinger equation with polynomially growing potentials is proposed in terms of a white noise functional.

Keywords:

AMSC: 35C15, 35Q40, 28C20, 60H40, 35Q40, 81Q05, 47D06, 35B60

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