Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. VI: Asymptotics in the two-cluster region

DOI10.1016/0196-8858(80)90015-9zbMath0482.35065OpenAlexW1989555326MaRDI QIDQ1162658

Elliott H. Lieb, Barry Simon

Publication date: 1980

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(80)90015-9

zbMATH Keywords

ground state wave functionmultiparticle Schrödinger operatorsleading asymptoticsAgmon metricsmultiparticle quantum systemsrotationally invariant two-body potentials

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Many-body theory; quantum Hall effect (81V70) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Regularity properties of Schrödinger and Dirichlet semigroups
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
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