Frame Transformations for Fermions
Chris W Patterson, William G Harter
TL;DR
This paper introduces a novel frame transformation approach for rotor states that extends the Legendre addition theorem to half-integer angular momentum, advancing the mathematical tools for fermionic systems.
Contribution
It presents a new frame transformation method for fermionic rotor states, generalizing the Legendre addition theorem to half-integer angular momentum.
Findings
Derived the analog of the Legendre addition theorem for fermions.
Developed a mathematical framework for frame transformations of rotor states.
Enhanced the understanding of angular momentum in fermionic systems.
Abstract
The analog to the Legendre addition theorem is found for half-integral angular momentum using frame transformations for rotor states.
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Taxonomy
TopicsGeophysics and Sensor Technology · Particle Accelerators and Free-Electron Lasers · Cold Atom Physics and Bose-Einstein Condensates