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Generalized adiabatic invariants in one-dimensional Hamiltonian systems

1992; American Physical Society; Volume: 68; Issue: 25 Linguagem: Inglês

10.1103/physrevlett.68.3659

1092-0145

P. Helander, M. Lisak, V. E. Semenov,

Molecular spectroscopy and chirality

The concept of adiabatic invariance in one-dimensional Hamiltonian systems H(p,q;\ensuremath{\lambda}) is generalized to include the case when the time derivative of the slowly varying parameter \ensuremath{\lambda} is given by \ensuremath{\lambda}\ifmmode \dot{}\else \.{}\fi{}=f(H,\ensuremath{\lambda})\ensuremath{\varphi}(q,p), where f and \ensuremath{\varphi} are arbitrary functions, and q and p are the canonical coordinates.