A square root of the harmonic oscillator

نویسنده

  • R Delbourgo
چکیده

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 generalisations. 03.65.Ge, 03.65.Fd Typeset using REVTEX In memory of Lorella M Jones who sadly passed away in February 1995 and to whom the original idea in this paper is due. 1

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تاریخ انتشار 1995