Garavaglia, T. (1999) The Quantum Quasi-Invariant of the Time-Dependent Nonlinear Oscillator and Application to Betatron Dynamics. (Preprint)
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Abstract
Both the classical and quantum approximate invariants are found for the nonlinear time-dependent oscillator of sextupole transverse betatron dynamics. They are represented in terms of the elements of a Lie algebra associated with powers of phase space coordinates. The first order quantum correction to the classical quasi-invariant is found.
Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 19 Jun 2018 13:52 |
Last Modified: | 14 Dec 2022 20:43 |
URI: | https://dair.dias.ie/id/eprint/571 |
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