Spectral theory of the Klein-Gordon equation in Pontryagin spaces

DOI10.1007/s00220-006-0022-4zbMath1114.47038OpenAlexW1982919660MaRDI QIDQ865075

Branko Najman, Christiane Tretter, Heinz K. Langer

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1007/s00220-006-0022-4

zbMATH Keywords

Klein-Gordon equationspectral propertiesPontryagin spaceenergy inner product

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Linear operators on spaces with an indefinite metric (47B50)

Related Items (20)

Inverse scattering on the half-line for ZS-AKNS systems with integrable potentials ⋮ Variational principles for eigenvalues of the Klein–Gordon equation ⋮ Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation ⋮ Reconstruction of energy-dependent Sturm-Liouville equations from two spectra ⋮ Spectral theory of the Klein-Gordon equation in Pontryagin spaces ⋮ Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces ⋮ Schur complement dominant operator matrices ⋮ Scattering theory for Klein-Gordon equations with non-positive energy ⋮ The damped wave equation with unbounded damping ⋮ Boundary values of resolvents of selfadjoint operators in Krein spaces ⋮ A Gutzwiller trace formula for stationary space-times ⋮ Perturbation of eigenvalues of the Klein-Gordon operators ⋮ Quantum field theory in static external potentials and Hadamard states ⋮ On eigenfunction expansion of solutions to the Hamilton equations ⋮ G-Self-adjoint Operators in Almost Pontryagin Spaces ⋮ Local energy decay and the vector field method ⋮ Scattering theory for the Klein–Gordon equation with nondecreasing potentials ⋮ SIMPLICITY OF EXTREMAL EIGENVALUES OF THE KLEIN–GORDON EQUATION ⋮ Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy ⋮ Relatively bounded perturbations of \(J\)-non-negative operators

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