Exact solvability of moving boundary problems

Yuce C.

PHYSICS LETTERS A, cilt.327, ss.107-112, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 327
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.physleta.2004.05.014
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.107-112
  • Anahtar Kelimeler: moving boundary, INFINITE SQUARE-WELL, GENERALIZED HARMONIC-OSCILLATOR, SCHRODINGER-EQUATION, BERRY PHASE, PARTICLE
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

In this Letter, the problem of a spinless particle under the moving boundary condition is studied. It is found that the exact solution can be found if the boundary moves with the constant speed. It is proven that this restriction on the exact solvability is lifted if the electromagnetic field is introduced in the system. As an application, the exact solution for the particle confined in the sinusoidally vibrating cylindrical well is given. (C) 2004 Elsevier B.V. All rights reserved.