Analytic quantum mechanics of the morse oscillator |
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Authors: | R. Wallace |
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Affiliation: | Chemistry Department, University of Manitoba, Winnipeg, Canada |
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Abstract: | The approximate eigenfunctions of the Morse oscillator, expressed in terms of Laguerre polynomials, are shown to form an approximately orthogonal basis. Analytic expressions for the matrix elements of common operators are obtained within this representation. With such matrix elements in closed form, the Morse oscillator becomes, as the harmonic oscillator has been, a practical building block in molecular theory. |
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