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An adiabatic approximation for time-dependent constants of the motion

✍ Scribed by C.E. Wulfan; R.D. Levine

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
325 KB
Volume
84
Category
Article
ISSN
0009-2614

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✦ Synopsis

An adl;lbatic approxunatlon for tune-dependent constants of the motion IS introduced and dustrated by several exampies. Apphcations to co&Ion theory, inciudmg non-adlabatlc tranations. are dacussed. Stabihty considerations mdicate that parkular constants (= con&ants) can play a dommant role m the long-time evolution of the system.

πŸ“œ SIMILAR VOLUMES

New perturbation method for the integral
New perturbation method for the integrals of motion of time-dependent systems
✍ J Lacina πŸ“‚ Article πŸ“… 1970 πŸ› Elsevier Science 🌐 English βš– 428 KB

A solution of motion defined by a Hamiltonian function x = %(q\* , P!J + 1 ~"Kdqk, , Plc ; 0 k = 1, 2,..., N n=\* of a system in time-dependent fields, is found by the use of power series expansions in a perturbation parameter. The solution is in the form of 2N independent integrals of motion, the p