Calculation of harmonic oscillator brackets in SU(3) basis
Ramutis Kazys Kalinauskas, Augustinas Step\v{s}ys, Darius Germanas,, Saulius Mickevi\v{c}ius
TL;DR
This paper introduces a new SU(3)-based method for calculating harmonic oscillator brackets, providing explicit relations and a computational approach to improve the efficiency of Talmi-Moshinsky transformations.
Contribution
It presents a novel SU(3) scheme for harmonic oscillator bracket calculations, offering explicit relations and a computational method.
Findings
Derived explicit relations for harmonic oscillator brackets in SU(3) basis
Developed a computational approach for numerical evaluation
Enhanced efficiency of Talmi-Moshinsky transformation calculations
Abstract
We present a new approach for the Talmi-Moshinsky transformation representation in the harmonic oscillator basis. We utilize the SU(3) scheme for the calculation of harmonic oscillator brackets. Using this scheme we obtain the explicit relations for numeric evaluation and present a computational approach.
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Taxonomy
TopicsParticle Accelerators and Free-Electron Lasers · Gyrotron and Vacuum Electronics Research · Particle accelerators and beam dynamics