A semiclassical kinetic theory of Dirac particles and Thomas precession

Dayı Ö. F., KILINCARSLAN E.

PHYSICS LETTERS B, cilt.749, ss.119-124, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 749
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.physletb.2015.07.059
  • Dergi Adı: PHYSICS LETTERS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.119-124
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Kinetic theory of Dirac fermions is studied within the matrix valued differential forms method. It is based on the symplectic form derived by employing the semiclassical wave packet build of the positive energy solutions of the Dirac equation. A satisfactory definition of the distribution matrix elements imposes to work in the basis where the helicity is diagonal which is also needed to attain the massless limit. We show that the kinematic Thomas precession correction can be studied straightforwardly within this approach. It contributes on an equal footing with the Berry gauge fields. In fact in equations of motion it eliminates the terms arising from the Berry gauge fields. (C) 2015 The Authors. Published by Elsevier B.V.