Physics – Classical Physics
Scientific paper
2007-09-28
Physics
Classical Physics
19 pages, 7 figures
Scientific paper
10.1016/j.aop.2007.10.004
A class of one dimensional classical systems is characterized from an algebraic point of view. The Hamiltonians of these systems are factorized in terms of two functions that together with the Hamiltonian itself close a Poisson algebra. These two functions lead directly to two time-dependent integrals of motion from which the phase motions are derived algebraically. The systems so obtained constitute the classical analogues of the well known factorizable one dimensional quantum mechanical systems.
Kuru S.
Negro Javier
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