On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator

Details On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator

2001-11-22

arxiv.org/abs/math-ph/0111044v1

Annales Henri Poincare 4 (2003) 301-341

Physics

Mathematical Physics

Scientific paper

We prove Cwikel-Lieb-Rosenbljum and Lieb-Thirring type bounds on the discrete
spectrum of a two-body pair operator and calculate spectral asymptotics for the
eigenvalue moments and the local spectral density in the pseudo-relativistic
limit.

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