Singularities for solutions to Schrödinger equations with asymptotically constant magnetic fields

DOI10.1063/1.4736723zbMath1276.81054OpenAlexW2065392969MaRDI QIDQ2865513

Shikuan Mao

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4736723

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Wave front sets in context of PDEs (35A18) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Wave front set for solutions to Schrödinger equations with long-range perturbed harmonic oscillators

Cites Work

• Unnamed Item
• Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
• Reconstruction of singularities for solutions of Schrödinger's equation
• The Schrödinger propagator for scattering metrics
• Wave front set for solutions to Schrödinger equations
• Semiclassical singularities propagation property for Schrödinger equations
• The trace of the generalized harmonic oscillator
• Singularities of Solutions to Schrödinger Equations with Constant Magnetic Fields
• Singularities of solutions to the Schrödinger equation on scattering manifold
• A Symbol Class for Some Schrodinger Equations on R n
• Microlocal dispersive smoothing for the Schrödinger equation
• Wave Front Set for Solutions to Perturbed Harmonic Oscillators

This page was built for publication: Singularities for solutions to Schrödinger equations with asymptotically constant magnetic fields