paper

Computing the coefficients of transformations between oscillator states

arXiv:2104.12515 · doi:10.1016/j.cpc.2021.108005

Abstract

A program is created to compute recursively the Moshinsky brackets. It is very fast and provides highly accurate results. In the case of the double-precision computations with a single-processor consumer notebook, the computing time per bracket at any not small oscillator excitations is on the scale of 10^{-8} s and the accuracy is very good for the total number of quanta up to 80. The program is easy to handle.

20 pages. A misprint in the relation (29) is corrected. In the programs described in the preceding version of the preprint the correct relation was used

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