Exponential decay of eigenfunctions of the Bethe-Salpeter operator

DOI10.1023/A:1011014722259zbMath0991.34074MaRDI QIDQ5944706

Oliver Matte, Volker Bach

Publication date: 18 August 2002

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

zbMATH Keywords

Dirac operatorexponential decayBethe-SalpeterBrown and RavenhallCombes-Thomas argumentKato's inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (2)

A variational approach to the Brown-Ravenhall operator for the relativistic one-electron atoms ⋮ Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients

Cites Work

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• Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
• Quantum electrodynamics of confined nonrelativistic particles
• The spectrum of relativistic one-electron atoms according to Bethe and Salpeter
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
• Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
• Smooth operators and commutators
• On the interaction of two electrons

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