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A second invariant for one-degree-of-freedom, time-dependent Hamiltonians given a first invariant

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.531708· OSTI ID:388195
 [1];  [2]
  1. Commissariat Energie Atomique, Centre de Bruyeres le Chatel, BP 12, 91680 Bruyeres le Chatel (France)
  2. Dartmouth College, Department of Physics and Astronomy, Hanover, New Hampshire 03755-3528 (United States)
An explicit formula for a second invariant of a one-degree-of-freedom time-dependent Hamiltonian is derived in terms of the Hamiltonian and an assumed first invariant. If the first invariant is expressed as a function of two canonical functions, a transformation to an autonomous Hamiltonian system is possible. {copyright} {ital 1996 American Institute of Physics.}
OSTI ID:
388195
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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