The Quantum Quasi-Invariant of the Time-Dependent Nonlinear Oscillator and Application to Betatron Dynamics

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
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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