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

DOI10.1142/S0219025711004572zbMath1232.35140WikidataQ62049369 ScholiaQ62049369MaRDI QIDQ3114608

Sonia Mazzucchi

Publication date: 19 February 2012

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

white noise analysisSchrödinger equationFeynman path integralspolynomial potential

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Integral representations of solutions to PDEs (35C15) White noise theory (60H40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Continuation and prolongation of solutions to PDEs (35B60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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