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arxiv: hep-th/9503056 · v1 · pith:35WCP6DSnew · submitted 1995-03-09 · ✦ hep-th

A square root of the harmonic oscillator

classification ✦ hep-th
keywords modeloscillatorrootsquareadmitsallowingannihilationapproach
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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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