The continuity and the differentiability of solutions on parameters to the Schrödinger equations and the Dirac equations

DOI10.1007/s11868-012-0056-7zbMath1346.81031OpenAlexW2016699714MaRDI QIDQ1942755

Wataru Ichinose

Publication date: 14 March 2013

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-012-0056-7

zbMATH Keywords

continuitydifferentiabilitySchrödinger equationsparameterDirac equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (2)

Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schrödinger equations with polynomially growing potentials ⋮ Global Cauchy problems on \(\mathbb{R}^n\) for weakly hyperbolic systems with coefficients admitting superlinear growth for \(| x| \rightarrow \infty\)

Cites Work

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• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
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• The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems
• ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS
• Schrödinger operators with singular magnetic vector potentials

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