Exponential type complex and non-Hermitian potentials within quantum Hamilton–Jacobi formalism

Özlem Yeşiltaş1, Ramazan Sever2
1Faculty of Arts and Sciences, Department of Physics, Gazi University, Ankara, Turkey
2Department of Physics, Middle East Technical University, Ankara, Turkey

Tóm tắt

PT-/non-PT-symmetric and non-Hermitian deformed Morse and Pöschl-Teller potentials are studied first time by quantum Hamilton–Jacobi approach. Energy eigenvalues and eigenfunctions are obtained by solving quantum Hamilton–Jacobi equation.

Từ khóa


Tài liệu tham khảo

Bender C.M., Boettcher S. (1998). Phys. Rev. Lett. 80: 5243 C.M. Bender, J. Math. Phys. 40 (1999) 2201; C.M. Bender and D. C. Brody and H.F. Jones, Phys. Rev. Lett. 89 (2002) 270401; C.M. Bender et al., J. Phys. A 36 (2003) 1029. Mostafazadeh A. (2002). J. Math. Phys. 43: 205 Fityo T.V.A. (2002). J. Phys. A 35: 5893 Weigert S. (2003). Phys. Rev. A 68: 062111 Bender C.M., Cooper F., Meisinger P.N. (1999). Phys. Lett. A 259: 229 Buslaev V., Grecchi V. (1993). J. Phys. A 36: 5541 Delabaere E., Bham F. (1998). Phys. Lett. A 250: 25 C.M. Bender, K.A. Milton and V.M. Savage, Phys. Rev. D 62 (2000) 085001; C.M. Bender, S. Boettcher and H.F. Jones and P.N. Meisinger, J. Math. Phys. 42 (2001) 1960. Bagchi B., Quesne C. (2000). Phys. Lett. A 273: 285 Bagchi B., Quesne C. (2000). Phys. Lett. A 300: 18 Levai G., Cannata F., Ventura A. (2001). J. Phys. A 34: 839 Levai G., Cannata F., Ventura A. (2002). J. Phys. A 35: 5041 F.M. Fernandez, R. Guardiola, J. Ros and M. Znojil, J. Phys. A 31 (1998) 10105; G.A. Merzinescu, J. Phys. A 33 (2000) 4911; O. Mustafa and M. Znojil, J. Phys. A 35 (2002) 8929; M. Znojil, F. Gemperle and O. Mustafa, J. Phys. A 35 (2002) 5781. Milanovic V., Ikonic Z. (2002). Phys. Lett. A 293: 29 Jia C.S., Zeng X.L., Sun L.T. (2002). Phys. Lett. A 294: 185 Znojil M. (2003). J. Phys. A 36: 7639 Znojil M. (2003). J. Phys. A 36: 7825 O. Yesiltas, M. Simsek, R. Sever and C. Tezcan, Phys. Scr. T67 (2003) 472; H. Taseli, J. Phys. A 31 (1998) 779; M. Znojil, Phys. Lett. A 264 (1999) 108; G. Levai and M. Znojil, J. Phys. A 35 (2002) 8793. C.M. Bender and S. Boettcher, J. Phys. A 31 (1998) L273; M. Znojil, J. Phys. A 33 (2000) 4203. Khare A., Sukhatme U. (2004). Phys. Lett. A 324: 406 G. Faridfathi, R. Sever and M. Aktas, J. Math. Chem. 38 (2005) 533; M. Aktas, R. Sever, Mod. Phys. Lett. A 19 (2004) 2871. Levai G., Znojil M. (2000). J. Phys. A 33: 7165 Parthasarathi, Parashar D., Kaushal R.S. (2004). J.Phys. A 37: 781 P.A.M. Dirac, Rev. Mod. Phys. 17 (1945) 195; P.A.M. Dirac, Proc. R. Soc. Lond. 113A (1927) 621. Jordan P. (1926). Z. Phys. 38: 513 Schwinger J. (1958). Quantum Electrodynamics. Dover Publications, New York Leacock R.A., Padgett M.J. (1983). Phys. Rev. Lett. 50: 3 Leacock R.A., Padgett M.J. (1983). Phys. Rev. D D28: 2491 Ranjani S.S. et al. (2005). Ann. Physics 320: 164 Ranjani S.S. et al. (2005). Int. J. Mod. Phys. A 20: 4067 Ranjani S.S. et al. (2004). Mod. Phys. Lett. A 19: 1457 Geojo K.G. et al. (2003). J. Phys. A 36: 4591 Ranjani S.S. et al. (2005). Int. J. Theor. Phys. 44: 1167 Rasinariu C. et al. (2005). Phys. Lett. A 338: 197 Bhalla R.S. et al. (1997). Am. J. Phys. 65: 1187 Bhalla R.S. et al. (1997). Mod. Phys. Lett. A 12: 295