Computing the coefficients of transformations between oscillator states

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.

Comments: 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