A criterion for the boundedness from below with a class of symmetric operators and its applications

DOI10.1016/0022-247X(90)90419-GzbMath0701.47009MaRDI QIDQ914131

Asao Arai

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ground statemultiplication operatorsupersymmetric quantum mechanicssymmetric operatorsclosed operatorslowest point of the spectrumnodeless eigenfunctionpointwise variational conditionsufficient conditions for boundedness from below

Mathematics Subject Classification ID

Variational inequalities (49J40) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• Supersymmetry and singular perturbations
• Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories
• Applications of a commutation formula
• Supersymmetric quantum mechanics defined as sesquilinear forms
• Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons

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