Square-well potential by an algebraic approach

1 December 1986

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 34 (6) , 4615-4620
https://doi.org/10.1103/physreva.34.4615

Abstract

The spectrum-generating algebra for the problem of a particle in a potential well is shown to be su(1,1). Both the infinitely deep and finite square wells are considered. The generators can also be derived via a systematic procedure for determining the time-dependent constants of the motion. The coherent states are explicitly constructed.

Keywords

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