Lie Groups and Propagators Exemplified
T.L. Curtright, Z. Cao, A. Peca, D. Sarker, and B.D. Shrestha
TL;DR
This paper presents concise methods for calculating the propagator of a non-relativistic particle in a potential combining quadratic and inverse quadratic terms, illustrating the application of Lie groups.
Contribution
It introduces a novel approach using Lie groups to compute propagators for specific quantum mechanical potentials.
Findings
Successfully derived the propagator for the given potential.
Demonstrated the effectiveness of Lie group methods in quantum mechanics.
Provided explicit formulas for the propagator in the studied case.
Abstract
Concise methods are used to compute the propagator for a non-relativistic particle subject to a potential with x^2 and 1/x^2 terms.
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Taxonomy
TopicsCrystallography and Radiation Phenomena · Radioactive Decay and Measurement Techniques · Quantum and Classical Electrodynamics