A Symbol Class for Some Schrodinger Equations on R n

DOI10.2307/2374454zbMath0574.35023OpenAlexW2017699054MaRDI QIDQ3693910

Alan Weinstein

Publication date: 1985

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374454

zbMATH Keywords

Weyl calculusSchrödinger operatorharmonic oscillatorwavefrontsymbol class

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (20)

Probability and Quantum Symmetries. II. The Theorem of Nœther in quantum mechanics ⋮ Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities ⋮ Smoothness of solutions for Schrödinger equations with unbounded potentials ⋮ Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class ⋮ Refined Weyl law for homogeneous perturbations of the harmonic oscillator ⋮ Shubin type Fourier integral operators and evolution equations ⋮ Integral representations for the class of generalized metaplectic operators ⋮ Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials ⋮ The Gabor Wave Front Set of Compactly Supported Distributions ⋮ Propagation of singularities and growth for Schrödinger operators ⋮ Reconstruction of singularities for solutions of Schrödinger equations ⋮ ON THE BEHAVIOR AT INFINITY OF THE FUNDAMENTAL SOLUTION OF TIME DEPENDENT SCHRÖDINGER EQUATION ⋮ Wave front set for solutions to Schrödinger equations with long-range perturbed harmonic oscillators ⋮ Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations ⋮ The trace of the generalized harmonic oscillator ⋮ Dispersion of singularities of solutions for Schrödinger equations ⋮ Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials ⋮ Singularities of solutions of some Schrödinger equations on ${\text{R}}^n $ ⋮ Singularities for solutions to Schrödinger equations with asymptotically constant magnetic fields

This page was built for publication: A Symbol Class for Some Schrodinger Equations on R n