Mathematical analysis of Born-Oppenheimer approximations. (English) Zbl 1129.81095

Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Quantum field theory, statistical mechanics, and nonrelativistic quantum systems. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4248-5/pt.1; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 1, 203-226 (2007).
Summary: We review mathematical results concerning Born-Oppenheimer approximations in molecular quantum mechanics.
For the entire collection see [Zbl 1110.00014].


81V55 Molecular physics
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
92E20 Classical flows, reactions, etc. in chemistry
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory