PT Symmetric Octic Potentials and Symmetry breaking
Author Affiliations
- 1 PG Department of Physics, Ranchi College, Ranchi (834008), Ranchi University, Ranchi, INDIA
Res. J. Physical Sci., Volume 2, Issue (1), Pages 5-7, April,4 (2014)
Abstract
The study of PT-symmetric complex potentials has recently acquired very much attention in the field of quantum mechanics. In this article, we have solved the family of PT-symmetric octic potential to gain further insight in the eigen spectra of the complex quantum system. The potential parameters and the energy eigenvalue of the PT- symmetric octic potential have been obtained. The Hamiltonian retains the PT-symmetry but the wave function does not follow the PT- symmetry. This leads to breakdown of PT-symmetry.
References
- Bender C.M., Complex Extension of Quantum Mechanics, Proceedings of the Institute of Mathematics of NAS of Ukraine, 50(2), 617-628 (2004)
- Bender C.M., Boettcher S. and Meisinger P. N., PT-Symmetric Quantum Mechanics, J. Math. Phys., 40, 2201-2229 (1999)
- Bender C.M., Complex Extension of Quantum Mechanics, Proceedings of the Institute of Mathematics of NAS of Ukraine, 50(2), 617-628 (2004)
- Bender C.M, Brody D.C. and Jones H.F., Complex Extension of Quantum Mechanics, Phys. Rev. Lett., 89, 270401 (2002)
- Banerjee A., A Perturbative treatment of a generalized PT symmetric quartic anharmonic oscillator, Mod. Phys. Lett. A, 20(39), 3013-3023 (2005)
- Delabaere E. and Pham F., Eigenvalues of complex Hamiltonians with PT –symmetry, Phys. Lett. A, 250, 25-28, (1998)
- Bender C.M, Berry M.V. and Mandilara A., Generalized PT Symmetry and Real Spectra, J. Phys A: Math. and Gen., 35, L467-L471 (2002)
- Bagchi B., Cannata F., Quesne C., PT symmetric sextic potentials, Phys.Lett. A, 269, 79-82 (2000)
- Lévai G. and Znojil M., condition for complex spectra in a class of PT symmetric potentials, Mod. Phys. Lett. A, 16, 1973 (2001)
- Dorey P., Dunning C. and Tateo R., Supersymmetry and the spontaneous breakdown of PT symmetry, J. Phys. A, 34(28), L391-L400 (2001)