Convexity Properties of Coulomb Systems

  • W. Thirring
Conference paper
Part of the Acta Physica Austriaca Supplementum XIV book series (FEWBODY, volume 14/1975)


Usually when one calculates the eigenvalues Ej(α) of a Hamiltonian H = HO + αV, Ej(O) being known, one attempts a Taylor expansion: Ej(α) = Ej(O) + α Ej!(O)+... Unfortunately, even when this series converges, there is no garanty that the first few terms will be close to Ej(α). For instance, if Ej(α) is a rapidly oscillating function, a linear or parabolic approximation will evidently not be very good. However, for the ground state this cannot happen because of the


Ground State Energy Concave Function Essential Spectrum Schrodinger Equation Convexity Property 
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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • W. Thirring
    • 1
  1. 1.Institut für Theoretische PhysikUniversität WienAustria

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