The quantum mechanical virial theorem and the absence of positive energy bound states of Schrödinger operators

DOI10.1007/BF02756756zbMath0302.35072MaRDI QIDQ1215899

Hubert Kalf

Publication date: 1975

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ On generalizations of the Virial theorem and questions of existence for eigenvalues of the Schrödinger operators ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Absolutely continuous spectrum and spectral transition for some continuous random operators ⋮ On the virial theorem in quantum mechanics ⋮ The virial theorem in relativistic quantum mechanics ⋮ Non-existence of eigenvalues of Schrödinger operators ⋮ Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues ⋮ On eigenvalues in the continuum of 2-body or many-body Schrödinger operators ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ A new proof of the Mourre estimate ⋮ A generalization of the virial theorem for strongly singular potentials

Cites Work

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• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• Potentials with zero scattering phase
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• On positive eigenvalues of one‐body schrödinger operators

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