Bound state solition of the Schödinger equation at finite temperature


Ahmadov A. I., AYDIN C., UZUN O.

The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32)9–13 July 2018, Prague, Czech Republic, PRAG, Çek Cumhuriyeti, 9 - 13 Temmuz 2018, cilt.1194, ss.12001 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1194
  • Doi Numarası: 10.1088/1742-6596/1194/1/012001
  • Basıldığı Şehir: PRAG
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.12001
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

In this article, the bound state solution of the modified radial Schrodinger equation is obtained for the sum of Cornell and inverse quadratic potential. Here in, the developed scheme is used to overcome the centrifugal part at the finite temperature and the energy eigenvalues and corresponding radial wave functions are defined for any angular momentum case via the Nikiforov-Uvarov methods. The present result are applied on the charmonium and bottomonuim masses at finite and zero temperature. Our result are in goog agreement with other theoretical and experimental results. The zero temperature limit of the energy spectrum and eigenfunctions is also founded. It is shown that the present approach can successfully be apply to the quarkonium systems at the finite temperature as well.