Path Integral Solutions of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potentials

2009-02-01
KANDIRMAZ, NALAN
Sever, Ramazan
Path integral solutions are obtained for the PT-/non-PT-symmetric and non-Hermitian Morse potentials. Energy eigenvalues and the corresponding wave functions are obtained.
CHINESE JOURNAL OF PHYSICS

Suggestions

Differential - Operator solutions for complex partial differential equations
Celebi, O; Sengul, S (1998-07-10)
The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
Coherent states for PT-/non-PT-symmetric and non-Hermitian Morse potentials via the path integral method
KANDIRMAZ, NALAN; Sever, Ramazan (IOP Publishing, 2010-03-01)
We discuss the coherent states for PT-/non-PT-symmetric and non-Hermitian generalized Morse potentials obtained by using path integral formalism over the holomorphic coordinates. We transform the action of generalized Morse potentials into two harmonic oscillators with a new parametric time to establish the parametric time coherent states. We calculate the energy eigenvalues and the corresponding wave functions in parabolic coordinates.
Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative
Karasözen, Bülent; Loginov, B (2003-01-01)
Analog of Grobman-Hartman theorem about stable and unstable manifolds solutions for differential equations in Banach spaces with degenerate Fredholm operator at the derivative are proved. In contrast to usual evolution equation here central manifold arises even in the case of spectrum absence on the imaginary axis. Jordan chains tools and implicit operator theorem are used. The obtained results allow to develop center manifold methods for computation of bifurcation solution asymptotics and their stability i...
Backward stochastic differential equations and Feynman-Kac formula in the presence of jump processes
İncegül Yücetürk, Cansu; Yolcu Okur, Yeliz; Hayfavi, Azize; Department of Financial Mathematics (2013)
Backward Stochastic Differential Equations (BSDEs) appear as a new class of stochastic differential equations, with a given value at the terminal time T. The application area of the BSDEs is conceptually wide which is known only for forty years. In financial mathematics, El Karoui, Peng and Quenez have a fundamental and significant article called “Backward Stochastic Differential Equations in Finance” (1997) which is taken as a groundwork for this thesis. In this thesis we follow the following steps: Firstl...
Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential, Wei-Hua Potential, Varshni Potential
Arda, Altug; Sever, Ramazan (Walter de Gruyter GmbH, 2014-03-01)
Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any K-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n, K).
Citation Formats
N. KANDIRMAZ and R. Sever, “Path Integral Solutions of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potentials,” CHINESE JOURNAL OF PHYSICS, pp. 46–54, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62654.