BORN–OPPENHEIMER APPROXIMATION FOR THE BROWN–RAVENHALL EQUATION

DOI10.1142/S0129055X01000880zbMath1029.81030MaRDI QIDQ4418302

Vania Sordoni

Publication date: 7 August 2003

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

zbMATH Keywords

semiclassical limitpseudo-relativistic Hamiltonian

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55)

Cites Work

• On the Born-Oppenheimer expansion for polyatomic molecules
• Stability of one-electron molecules in the Brown-Ravenhall model
• The spectrum of relativistic one-electron atoms according to Bethe and Salpeter
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Multiple wells in the semi-classical limit I
• On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms
• Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
• On the interaction of two electrons

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