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arXiv:hep-th/9503056 · Physical Review A

Square root of the harmonic oscillator

R. Delbourgo

Published Oct 1, 1995• 8 citations
arXivHTMLPDF

Abstract

Allowing for the inclusion of the parity operator, it is possible to construct a model of an oscillator whose Hamiltonian admits an exact square root, which is rather different from the conventional approach based on creation and annihilation operators. We outline such a model, the method of solution, and some generalizations.
DOI
10.1103/physreva.52.3356

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