TY - JOUR T1 - Path Integral Yöntemiyle PT Simetrik/ PT Simetrik Hermityen Olmayan q-deformasyonlu Trigonometrik Scarf Potansiyeli TT - PT/non PT Symmetric and non-Hermitian q-deformed Trigonometric Scarf Potential via Path Integral Method AU - Kandırmaz, Nalan PY - 2020 DA - June DO - 10.7240/jeps.601583 JF - International Journal of Advances in Engineering and Pure Sciences JO - JEPS PB - Marmara Üniversitesi WT - DergiPark SN - 2636-8277 SP - 180 EP - 184 VL - 32 IS - 2 LA - tr AB - Bu çalışmada PT Simetrik/ PTSimetrik Hermityen Olmayan q-deformasyonlu Trigonometrik Scarf Potansiyelininenerji spektrumu ve karşılık gelen dalga fonksiyonu Path İntegral yöntemikullanılarak elde edildi. Öncelikle bu potansiyelin kerneli parametrik zamankullanılarak enerji spektrumu ve dalga fonksiyonu cinsinden türetildi.Kernelden elde edilen Green fonksiyonu ile enerji spektrumu ve dalga fonksiyonugösterildi. KW - Path İntegrali KW - PT-Simetri N2 - In this study,energy spectrum and corresponding wave function of PT / non PT Symmetric andNon-Hermitian q-deformation Trigonometric Scarf Potential were obtained byusing Path Integral method. First, the kernel of this potential was derived in termsof energy spectrum and wave function using parametric time. Energy spectrum andwave function were shown by Green function obtained from Kernel. CR - [1] Bender C. M. and Boettcher S. (1998). Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry. Phys. Rev. Lett. 80, 5243. CR - [2] Bender C.M. (2012). PT-symmetric quantum theory. Journal of Physics: Conference Series 63, 012002 . CR - [3] Mostafazadeh A. (2002). Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum. J. Math. Phys. 43, 2814. CR - [4] L´evai G., Znojil M. (2000). Systematic search for PT symmetric potentials with real energy spectra. J. Phys. A: Math. Gen. 33 , 7165–7180. CR - [5] Feynmann R. and Hibbs A. (2010). Quantum Mechanics and Path Integrals. Emended Edition, Dover Publications Inc. Mineola, New York, 371s. CR - [6] Arai A. 1991). Exactly solvable supersymmetric quantum mechanics. J. Math. Anal Appl., 158, 63-79. CR - [7] Duru I.H., and Kleinert H.(1979). Solution of the path integral for the H-atom. Phys. Lett. B84, 185. CR - [8] Duru I.H. (1983). Morse-potential Green's function with path integrals. Phys. Rev. D, 28, 2689. CR - [9] Grosche C. (2005). Path integral solutions for deformed Poschl-Teller-like and conditionally solvable potentials. J. Phys. A: Math. Gen., 38, 2947-2958. CR - [10] Grosche C. (1989). Path integral solution of a class of potentials related to the Pöschl-Teller potential,. J. Phys. A: Math. Gen., 22, 5073-5087. CR - [11] Kandirmaz N. (2017). PT-/non-PT-Symmetric and Non-Hermitian Generalized Woods-Saxon Potential: Feynman Path Integral Approach GU j Sci.30(1), 133-138. CR - [12] Yesiltas O. (2007). PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method. Phys. Scr., 75, 41-46. CR - [13]Alvarez-Castillo D.E. and Kirchbach M. (2007). Exact spectrum and wave functions of the hyperbolic Scarf potential in terms of finite Romanovski polynomials. Revista Mexicana de Fisica, E53(2), 143-154. CR - [14] Falaye, B. J. and Oyewumi, K. J. (2011). Solutions of the Dirac Equation with Spin and Pseudospin Symmetry for the Trigonometric Scarf Potential in D-dimensions. AfricanReview of Physics 6 (0025), 211–220. CR - [15] Suparmi A., Cari C., Deta UA. et al. (2014). Exact Solution of Dirac Equation for q-Deformed Trigonometric Scarf potential with q-Deformed Trigonometric Tensor Coupling Potential for Spin and Pseudospin Symmetries Using Romanovski Polynomial. Journal of Phys. Conference Series,539(2014), 012004. CR - [16] Arda A., Sever R. (2010). Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential. Phys.Scr., 82(6), 065007. CR - [17] Kandirmaz N., Sever R. (2009). Path Integral Solutions of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potentials. Chinese J. Phys. 47,47. CR - [18] Kandirmaz N., Sever R. (2011). Path Integral Solution of PT-/non-PT-Symmetric and non-HermitianHulthen Potential, Acta Polytechnica, 51, 1. UR - https://doi.org/10.7240/jeps.601583 L1 - https://dergipark.org.tr/tr/download/article-file/974862 ER -