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arxiv: math-ph/0111044 · v1 · submitted 2001-11-22 · 🧮 math-ph · hep-th· math.MP· math.SP· quant-ph

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

classification 🧮 math-ph hep-thmath.MPmath.SPquant-ph
keywords discreteoperatorpairpseudo-relativisticspectralspectrumtwo-bodyasymptotics
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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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