Weyl transforms and solutions to Schrödinger equations for time-dependent Hermite operators

Using the diagonalization of Weyl transforms with radial symbols in in terms of explicit formulas for the eigenvalues with respect to the Hermite basis for , exact solutions to Schrödinger equations governed by time-dependent Hermite operators are analyzed in detail. Formulas for the Schrödinger ker...

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Bibliographic Details
Published inJournal of pseudo-differential operators and applications Vol. 3; no. 1; pp. 31 - 48
Main Authors Kagawa, Toshinao, Wong, M. W.
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.03.2012
Subjects
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
Weyl transforms
Fock space
Schrödinger equations
Time-dependent Hermite operators
47G30
Bargmann transforms
35Q41
Heat equations
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Summary:Using the diagonalization of Weyl transforms with radial symbols in in terms of explicit formulas for the eigenvalues with respect to the Hermite basis for , exact solutions to Schrödinger equations governed by time-dependent Hermite operators are analyzed in detail. Formulas for the Schrödinger kernels of these time-dependent Hermite operators are derived.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-012-0045-x