The Born-Oppenheimer Approximation

  • J. M. Combes
  • P. Duclos
  • R. Seiler
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 74)


In physics and chemistry the Born-Oppenheimer approximation is a very important method for analyzing the spectrum of molecules1). It is based on the important fact that the molecular Schrödinger operator contains one small parameter, the ratio k4 of the electronic to the nuclear mass2). Perturbation theory in this parameter is however very singular.


Asymptotic Expansion Dirichlet Boundary Condition Discrete Spectrum Energy Eigenvalue Absolute Minimum 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • J. M. Combes
    • 1
  • P. Duclos
    • 1
  • R. Seiler
    • 2
  1. 1.Département de mathématiqueUniversité de ToulonFrance
  2. 2.Institut f. theor.PhysikFreie Universität BerlinGermany

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