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

Year 2017, Volume: 30 Issue: 1, 133 - 138, 14.03.2017

Nalan Kandırmaz

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

  • C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
  • C. M. Bender, S. Boetcher, and P.N. Meisenger, J. Math. Phys. 40, 2201 (1999).
  • M. Znojil, J. Phys. A: Math. Gen. 33 (2000) L61-2; M. Znojil, M. Tater, J. Phys. A: Math. Gen. 34 (2001) 1793.
  • Z. Ahmed , Phys. Lett. A282, 343 (2001).
  • Bagchi : B. Bagchi, C. Quesne, Phys. Lett. A273, 285 (2000).
  • A. Mostafazadeh, Journal of Math. Phys., 43,2814 (2002).
  • M. S. Ikhdair, R. Sever, International Journal of Theoretical Phys. 46, 1643 (2007).
  • S.M. Ikhdair, R. Sever, J. Mod. Phys. E 17, 1107 (2008).
  • C. Tezcan, R. Sever: Int. J. Theor. Phys. 48, 337 (2009).
  • Berkdemir : C. Berkdemir, A. Berkdemir and R.Sever, Phys. Rev. C72, 027001 (2005).
  • R. Feynmann and A. Hibbs: Quantum Mechanics and Path Integrals McGraw Hill, New York, (1965).
  • I.H. Duru and H. Kleinert, Phys. Lett. B84, 185(1979).
  • I.H. Duru, Phys. Rev. D, 28, 2689(1983).
  • I.H. Duru, Phys.Rev. D, 30, 2121(1984).
  • I.H. Duru, Phys. Lett A, 119,163(1986).
  • D. Peak and A. Inomata, J. Math. Phys. 10, 1422 (1969).
  • S.Erkoc, R. Sever, Phys.Rev D, 30, 2117 (1984).
  • S.Erkoc, R. Sever, Phys.Rev A, 37, 2687 (1988).
  • [ 19] N.K. Pak and I. Sokmen, Phys. Lett. 100A, 327(1984).
  • N. Kandirmaz, R. Sever,Chinese J. Phys. 47,47,(2009).
  • N. Kandirmaz and R. Sever, Acta Polytechnica, 51,1 (2011).
  • Gradshteyn, I. S., Ryzhic, I. M.: Table of Integrals, Series, and Products, 2nd ed., Academic Press, New York, (1981).

Year 2017, Volume: 30 Issue: 1, 133 - 138, 14.03.2017

Nalan Kandırmaz

Abstract

References

  • C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
  • C. M. Bender, S. Boetcher, and P.N. Meisenger, J. Math. Phys. 40, 2201 (1999).
  • M. Znojil, J. Phys. A: Math. Gen. 33 (2000) L61-2; M. Znojil, M. Tater, J. Phys. A: Math. Gen. 34 (2001) 1793.
  • Z. Ahmed , Phys. Lett. A282, 343 (2001).
  • Bagchi : B. Bagchi, C. Quesne, Phys. Lett. A273, 285 (2000).
  • A. Mostafazadeh, Journal of Math. Phys., 43,2814 (2002).
  • M. S. Ikhdair, R. Sever, International Journal of Theoretical Phys. 46, 1643 (2007).
  • S.M. Ikhdair, R. Sever, J. Mod. Phys. E 17, 1107 (2008).
  • C. Tezcan, R. Sever: Int. J. Theor. Phys. 48, 337 (2009).
  • Berkdemir : C. Berkdemir, A. Berkdemir and R.Sever, Phys. Rev. C72, 027001 (2005).
  • R. Feynmann and A. Hibbs: Quantum Mechanics and Path Integrals McGraw Hill, New York, (1965).
  • I.H. Duru and H. Kleinert, Phys. Lett. B84, 185(1979).
  • I.H. Duru, Phys. Rev. D, 28, 2689(1983).
  • I.H. Duru, Phys.Rev. D, 30, 2121(1984).
  • I.H. Duru, Phys. Lett A, 119,163(1986).
  • D. Peak and A. Inomata, J. Math. Phys. 10, 1422 (1969).
  • S.Erkoc, R. Sever, Phys.Rev D, 30, 2117 (1984).
  • S.Erkoc, R. Sever, Phys.Rev A, 37, 2687 (1988).
  • [ 19] N.K. Pak and I. Sokmen, Phys. Lett. 100A, 327(1984).
  • N. Kandirmaz, R. Sever,Chinese J. Phys. 47,47,(2009).
  • N. Kandirmaz and R. Sever, Acta Polytechnica, 51,1 (2011).
  • Gradshteyn, I. S., Ryzhic, I. M.: Table of Integrals, Series, and Products, 2nd ed., Academic Press, New York, (1981).
There are 22 citations in total.

Details

Journal Section Physics
Authors

Nalan Kandırmaz

Publication Date March 14, 2017
Published in Issue Year 2017 Volume: 30 Issue: 1

Cite

APA Kandırmaz, N. (2017). PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH. Gazi University Journal of Science, 30(1), 133-138.
AMA Kandırmaz N. PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH. Gazi University Journal of Science. March 2017;30(1):133-138.
Chicago Kandırmaz, Nalan. “PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH”. Gazi University Journal of Science 30, no. 1 (March 2017): 133-38.
EndNote Kandırmaz N (March 1, 2017) PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH. Gazi University Journal of Science 30 1 133–138.
IEEE N. Kandırmaz, “PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH”, Gazi University Journal of Science, vol. 30, no. 1, pp. 133–138, 2017.
ISNAD Kandırmaz, Nalan. “PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH”. Gazi University Journal of Science 30/1 (March 2017), 133-138.
JAMA Kandırmaz N. PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH. Gazi University Journal of Science. 2017;30:133–138.
MLA Kandırmaz, Nalan. “PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH”. Gazi University Journal of Science, vol. 30, no. 1, 2017, pp. 133-8.
Vancouver Kandırmaz N. PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN GENERALIZED WOODS-SAXON POTENTIAL: FEYNMAN PATH INTEGRAL APPROACH. Gazi University Journal of Science. 2017;30(1):133-8.