On the nonrelativistic limit of the bound states of the Klein-Gordon equation

DOI10.1016/0022-247X(83)90028-8zbMath0522.35008MaRDI QIDQ1055965

Krešimir Veselić

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Klein-Gordon equationbound statesnonrelativistic limitexplicit analytic perturbation theory

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations in context of PDEs (35B20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Variational principles for eigenvalues of the Klein–Gordon equation ⋮ Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations ⋮ Unnamed Item ⋮ On relativistic energy band corrections in the presence of periodic potentials ⋮ Spectral theory of the Klein-Gordon equation in Pontryagin spaces ⋮ The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation ⋮ SIMPLICITY OF EXTREMAL EIGENVALUES OF THE KLEIN–GORDON EQUATION

Cites Work

• On the nonrelativistic limits of the Klein-Gordon and Dirac equations
• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
• On symmetrization and roots of quadratic eigenvalue problems
• Existenz der Wellenoperatoren für eine allgemeine Klasse von Operatoren
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