Approximate Constancy of Adiabatic Invariants
Open Access
- 1 November 1961
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 26 (5) , 577-588
- https://doi.org/10.1143/ptp.26.577
Abstract
In this paper we give general criteria to be satisfied by a slowly time-dependent Hamiltonian in order to possess adiabatic invariants of m-th order. We evaluate also the degree of approximate constancy of such adiabatic invariants. We end up the paper applying our methods to the motion of a charged particle in a magnetic field, ie. to the harmonic oscillator.Keywords
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