Singularities of solutions of some Schrödinger equations on ${\text{R}}^n $

DOI10.1090/S0273-0979-1982-15012-1zbMath0482.35085OpenAlexW1519238075MaRDI QIDQ3940229

Alan Weinstein, Steven Zelditch

Publication date: 1982

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-15012-1

zbMATH Keywords

metaplectic representationpropagation of singularitiesperturbed harmonic oscillator Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

On the eigenvalues of a disturbed harmonic oscillator ⋮ Feynman integral in regularized nonrelativistic quantum electrodynamics ⋮ Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities

Cites Work

• The metaplectic representation, Weyl operators and spectral theory
• An algebra of pseudodifferential operators and quantum mechanics in phase space
• A Symbol Class for Some Schrodinger Equations on R n
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