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A square root of the harmonic oscillator

R Delbourgo

hep-tharXiv:hep-th/9503056

Abstract

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

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