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Title: Factorizations of one-dimensional classical systems

Journal Article · · Annals of Physics (New York)
 [1];  [1]
  1. Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47071 Valladolid (Spain)

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.

OSTI ID:
21077686
Journal Information:
Annals of Physics (New York), Vol. 323, Issue 2; Other Information: DOI: 10.1016/j.aop.2007.10.004; PII: S0003-4916(07)00156-X; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
Country of Publication:
United States
Language:
English

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