Factorizations of one-dimensional classical systems

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KURU Ş., Negro J.

ANNALS OF PHYSICS, cilt.323, sa.2, ss.413-431, 2008 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 323 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.aop.2007.10.004
  • Dergi Adı: ANNALS OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.413-431
  • Anahtar Kelimeler: factorization method, time-dependent integrals of motion, Poisson algebras of one-dimensional classical systems, QUANTUM SUPERINTEGRABLE SYSTEMS, POLYNOMIAL ASSOCIATIVE ALGEBRAS, OSCILLATOR, MECHANICS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

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. (C) 2007 Elsevier Inc. All rights reserved.