Universal raising and lowering operators for a discrete energy spectrum

DOI10.1007/S10701-016-9997-7zbMath1380.81123OpenAlexW2295364700MaRDI QIDQ1689677

Gabino Torres-Vega

Publication date: 17 January 2018

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-016-9997-7

zbMATH Keywords

quantum mechanicsharmonic oscillatorcommutatorsdiscrete energy spectruminfinite well potentialtime operatorslowering and rising operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

Exact finite differences. The derivative on non uniformly spaced partitions

Cites Work

• Study of a self-adjoint operator indicating the direction of time within standard quantum mechanics
• Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators
• TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM
• Pauli's theorem and quantum canonical pairs: the consistency of a bounded, self–adjoint time operator canonically conjugate to a Hamiltonian with non–empty point spectrum
• Self–adjoint time operator is the rule for discrete semi–bounded Hamiltonians
• Shouldn’t there be an antithesis to quantization?
• Canonically Conjugate Pairs, Uncertainty Relations, and Phase Operators

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