SIMPLICITY OF EXTREMAL EIGENVALUES OF THE KLEIN–GORDON EQUATION

DOI10.1142/S0129055X11004382zbMath1228.81165arXiv1008.2469MaRDI QIDQ3087528

Christiane Tretter, Mario Köppen, Monika Winklmeier

Publication date: 16 August 2011

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

Full work available at URL: https://arxiv.org/abs/1008.2469

zbMATH Keywords

eigenvalueKlein-Gordon equationground state energyoperator polynomial

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (2)

Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds ⋮ Perturbation of eigenvalues of the Klein-Gordon operators

Cites Work

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• Spectral theory of the Klein-Gordon equation in Pontryagin spaces
• On the nonrelativistic limit of the bound states of the Klein-Gordon equation
• On some mathematical principles in the linear theory of damped oscillations of continua I
• On some mathematical principles in the linear theory of damped oscillations of continua II
• Eigenvalues of the Klein-Gordon equation
• Spectral Theory of the Klein–Gordon Equation in Krein Spaces
• The diamagnetism of free electrons
• Schrödinger operators with singular magnetic vector potentials

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