On eigenvalues in the continuum of 2-body or many-body Schrödinger operators

DOI10.1017/S0027763000021826zbMath0407.35060OpenAlexW1494631526MaRDI QIDQ4193846

Jun Uchiyama, Kiyoshi Mochizuki

Publication date: 1978

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000021826

zbMATH Keywords

EigenvaluesSchrödinger OperatorsSelfadjoint ExtensionCoulomb PotentialsYnkawa Potentials

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• The quantum mechanical virial theorem and the absence of positive energy bound states of Schrödinger operators
• Growth properties of solutions of second order elliptic differential equations
• Lower bounds for solutions of Schrödinger equations
• Schrödingeroperatoren ohne Eigenwerte
• On positive eigenvalues of one-body schrödinger operators: Remarks on papers by agmon and simon
• The virial theorem and its application to the spectral theory of Schrödinger operators