Calculation of oscillator (Talmi–Moshinsky–Smirnov) brackets

A program to calculate the oscillator brackets, or Talmi–Moshinsky–Smirnov coefficients, is presented. The recursion with respect radial quantum numbers employed. listed runs show that very fast and it produces accurate results up high excitations. amount of computations per bracket does not increase numbers. In one presented versions, provides sets all existing brackets a given parity pertaining excitations total angular momenta which lie within ranges. other version, subsets such having are produced. Such type arrays quite convenient for majority applications. These made compact due use suitable combinations partial as array arguments. easy implement follow. Comparisons programs based on explicit expression brackets. Program Title: OSBRACKETS CPC Library link files: https://doi.org/10.17632/4m594wzv94.1 Licensing provisions: GPLv3 Programming language: Fortran-90 Nature problem: Single-particle basis states widely used studying structure various many-body systems. To compute matrix elements two-body operators, Talmi-Smirnov transformation performed. Coefficients this called Often necessary retain large in calculations. Therefore, needed. should provide Solution method: At zero calculated using an includes only few summations. Starting from recurrence relations employed general type. prove work perfectly