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On the adiabatic and exact invariants of some special Hamiltonians

✍ Scribed by J.P Ottoy; R Mertens

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 703 KB
Volume: 189
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(89)90080-8

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✦ Synopsis

The first few terms of the adiabatic invariant series are calculated for a Hamiltonian of the special form H = +p* + f h(q, T) dq (T = st, E < 1.) We also look for the conditions under which a recursion relation for the successive terms of this adiabatic invariant series can be constructed, especially with respect to the above Hamiltonian. This leads then in some more special cases even to the existence of an exact invariant. Finally, two examples are treated.

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