Analytical and algebraic solutions of the rotating Morse oscillators: Matrix elements of arbitrary powers of (r-re)lexp[-ma(r-re)]

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ID: 270993
1990
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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.
Reference Key
moreno1990physicalanalytical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors A. López-Pieiro,B. Moreno;A. López-Pieiro;B. Moreno;
Journal physical review a
Year 1990
DOI
10.1103/physreva.41.1444
URL
https://sciprofiles.com/publication/view/909a6b487b1c5e887b1b92de1a1e049a
Keywords
matrix elements rotating morse morse oscillators lexp diagonal eigenfunctions recursive

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