Analytical and algebraic solutions of the rotating Morse oscillators: Matrix elements of arbitrary powers of (r-re)lexp[-ma(r-re)]
Abstract
Analytical expressions for the matrix elements 〈v’J‖(r-re)lexp[-ma(r-re) ]‖vJ〉 of a rotating Morse oscillator are obtained, where l is a non-negative integer and m is any number. These matrix elements are also obtained by a recursive method that obviates the need for using explicit eigenfunctions. This procedure is based on the hypervirial theorem together with the second-quantization formalism. The results permit the diagonal (v=v’,J=J’) and off-diagonal (v≠v’,J=J’) matrix elements of the operator (r-re)l to be calculated.
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270993
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Article ID:
270993
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10.1103/physreva.41.1444
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Scimatic Chain (ID: 481)
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