q-Deformed Coherent States for q-Deformed Photon by Using the Tsallis's q-Deformed Exponential Function in the Non-Extensive Thermodynamics


Chung W. S., LÜTFÜOĞLU B. C., Hassanabadi H.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.60, no.3, pp.1109-1126, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1007/s10773-021-04736-w
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Page Numbers: pp.1109-1126
  • Keywords: q-deformed boson, Coherent state, Photon distribution
  • Akdeniz University Affiliated: Yes

Abstract

In this manuscript we consider q-deformed boson algebra by using the Tsallis's q-deformed exponential which arises in the non-extensive thermodynamics. Using this we construct q-deformed coherent states and even and odd q-deformed coherent states. We investigate non-classical properties of these q-deformed coherent states such as photon distribution, super-/sub-Poissonian structure and bunching or anti-bunching effect.