PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH

Abstract

In this paper, we examined the treatment path integral of  the PT-/non-PT Symmetric and non-Hermitian Deformed Wood Saxon Potentials. Kernel, energy sperctrums and corresponding normalized wave functions of these potentials states are obtained. We used parametric time and point transformation for constructed kernel via path integral.

Keywords

• Generalized Woods-Saxon,Non-PT symmetry

References

1. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
2. C. M. Bender, S. Boetcher, and P.N. Meisenger, J. Math. Phys. 40, 2201 (1999).
3. M. Znojil, J. Phys. A: Math. Gen. 33 (2000) L61-2; M. Znojil, M. Tater, J. Phys. A: Math. Gen. 34 (2001) 1793.
4. Z. Ahmed , Phys. Lett. A282, 343 (2001).
5. Bagchi : B. Bagchi, C. Quesne, Phys. Lett. A273, 285 (2000).
6. A. Mostafazadeh, Journal of Math. Phys., 43,2814 (2002).
7. M. S. Ikhdair, R. Sever, International Journal of Theoretical Phys. 46, 1643 (2007).
8. S.M. Ikhdair, R. Sever, J. Mod. Phys. E 17, 1107 (2008).

9. C. Tezcan, R. Sever: Int. J. Theor. Phys. 48, 337 (2009).
10. Berkdemir : C. Berkdemir, A. Berkdemir and R.Sever, Phys. Rev. C72, 027001 (2005).
11. R. Feynmann and A. Hibbs: Quantum Mechanics and Path Integrals McGraw Hill, New York, (1965).
12. I.H. Duru and H. Kleinert, Phys. Lett. B84, 185(1979).
13. I.H. Duru, Phys. Rev. D, 28, 2689(1983).
14. I.H. Duru, Phys.Rev. D, 30, 2121(1984).
15. I.H. Duru, Phys. Lett A, 119,163(1986).
16. D. Peak and A. Inomata, J. Math. Phys. 10, 1422 (1969).
17. S.Erkoc, R. Sever, Phys.Rev D, 30, 2117 (1984).
18. S.Erkoc, R. Sever, Phys.Rev A, 37, 2687 (1988).
19. [ 19] N.K. Pak and I. Sokmen, Phys. Lett. 100A, 327(1984).
20. N. Kandirmaz, R. Sever,Chinese J. Phys. 47,47,(2009).
21. N. Kandirmaz and R. Sever, Acta Polytechnica, 51,1 (2011).
22. Gradshteyn, I. S., Ryzhic, I. M.: Table of Integrals, Series, and Products, 2nd ed., Academic Press, New York, (1981).