Commutators and scattering theory. I: Repulsive interactions

DOI10.1007/BF01646626zbMath0207.13706OpenAlexW2082789838MaRDI QIDQ2543083

Richard B. Lavine

Publication date: 1971

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01646626

zbMATH Keywords

228.35071

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Commutators, derivations, elementary operators, etc. (47B47) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory of linear operators (47A40)

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Cites Work

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• Wave operators and similarity for some non-selfadjoint operators
• Zur Spektraltheorie von Sturm-Liouville-Operatoren
• Scattering theory for long range potentials
• The virial theorem and its application to the spectral theory of Schrödinger operators
• Absolute Continuity of Hamiltonian Operators with Repulsive Potential
• Smooth operators and commutators