Analytic quantum mechanics of the morse oscillator

作者: R. Wallace

DOI: 10.1016/0009-2614(76)80173-X

关键词: PhysicsRepresentation (mathematics)Laguerre polynomialsHarmonic oscillatorOrthogonal basisQuantum harmonic oscillatorMatrix (mathematics)Morse codeQuantum mechanicsEigenfunction

摘要: Abstract The approximate eigenfunctions of the Morse oscillator, expressed in terms Laguerre polynomials, are shown to form an approximately orthogonal basis. Analytic expressions for matrix elements common operators obtained within this representation. With such closed form, oscillator becomes, as harmonic has been, a practical building block molecular theory.

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