Classical motion and coherent states for Poschl-Teller potentials

Cruz S. Y. C., KURU Ş., Negro J.

PHYSICS LETTERS A, cilt.372, sa.9, ss.1391-1405, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 372 Sayı: 9
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.physleta.2007.10.010
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1391-1405
  • Anahtar Kelimeler: poschl-teller potential, normalized solutions, ladder operators, factorization, coherent states, ONE-DIMENSIONAL EXAMPLES, GENERAL POTENTIALS, DYNAMICS, HAMILTONIANS, REVIVAL, QUANTUM, ION
  • Ankara Üniversitesi Adresli: Evet

Özet

The trigonometric and hyperbolic Poschl-Teller potentials are dealt with from the point of view of classical and quantum mechanics. We show that there is a natural correspondence between the algebraic structure of these two approaches for both kind of potentials. Then, the coherent states are constructed and the appropriate classical variables are compared with the expected values of their corresponding quantum operators. (c) 2007 Elsevier B.V. All rights reserved.