The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics

Details The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics

1999-08-06

arxiv.org/abs/physics/9908013v1

Physics

Accelerator Physics

22 pages, Two postscript figures

Scientific paper

Both the classical and quantum approximate invariants are found for the
nonlinar r 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.

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