A characterization of the Hamiltonian

DOI10.1016/S0034-4877(04)90025-0zbMath1138.81410MaRDI QIDQ2455760

Franciszek Hugon Szafraniec

Publication date: 26 October 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

self-adjoint operatorHermite polynomialsCharlier polynomialsUnbounded operatorabstract HamiltonianJacobi (matrix) operator

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (1)

How to recognize the creation operator

Cites Work

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• Duality in the quantum harmonic oscillator
• A peculiarity of the creation operator
• Charlier Polynomials and Translational Invariance in the Quantum Harmonic Oscillator
• Subnormality in the quantum harmonic oscillator

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