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Title: Factorizations of one-dimensional classical systems

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.
Authors:
 [1] ;  [2] ;  [3]
  1. Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47071 Valladolid (Spain)
  2. (Turkey)
  3. Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47071 Valladolid (Spain), E-mail: jnegro@fta.uva.es
Publication Date:
OSTI Identifier:
21077686
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 323; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; FACTORIZATION; FUNCTIONS; HAMILTONIANS; INTEGRALS; ONE-DIMENSIONAL CALCULATIONS; QUANTUM MECHANICS; TIME DEPENDENCE