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Title: Factorizations of one-dimensional classical systems

Abstract

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

Citation Formats

Kuru, Senguel, Department of Physics, Faculty of Science, Ankara University, 06100 Ankara, and Negro, Javier. Factorizations of one-dimensional classical systems. United States: N. p., 2008. Web. doi:10.1016/j.aop.2007.10.004.
Kuru, Senguel, Department of Physics, Faculty of Science, Ankara University, 06100 Ankara, & Negro, Javier. Factorizations of one-dimensional classical systems. United States. doi:10.1016/j.aop.2007.10.004.
Kuru, Senguel, Department of Physics, Faculty of Science, Ankara University, 06100 Ankara, and Negro, Javier. 2008. "Factorizations of one-dimensional classical systems". United States. doi:10.1016/j.aop.2007.10.004.
@article{osti_21077686,
title = {Factorizations of one-dimensional classical systems},
author = {Kuru, Senguel and Department of Physics, Faculty of Science, Ankara University, 06100 Ankara and Negro, Javier},
abstractNote = {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.},
doi = {10.1016/j.aop.2007.10.004},
journal = {Annals of Physics (New York)},
number = 2,
volume = 323,
place = {United States},
year = 2008,
month = 2
}
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