Abstract
Exact Solutions of Schrodinger Equation with Solvable Potentials for NON PT/PT-Symmetric
Highlights
In different areas of physics we are bombarded with various types of potentials and the past decade has seen the renaissance of non-Hermitian quantum mechanical systems after the introduction of PT-symmetric quantum system [1,2,3,4]
Obtaining exact solutions forpotential with complex spectrum under Schrödinger equation is of great interest[7]
It must be stated that PT-symmetry does not bring about real spectrum
Summary
In different areas of physics we are bombarded with various types of potentials ( real or complex forms) and the past decade has seen the renaissance of non-Hermitian quantum mechanical systems after the introduction of PT-symmetric quantum system [1,2,3,4]. One of the recently introduced methods for solving second order differential equations such as Schrodinger , Klein-Gordon, Dirac equations, etc. Is the NU method[15] It is based on solving the second order linear differential equation by reducing to a generalized equation of hypergeometric type [16]. The particular solution of Eq(1) can be obtained by using the following transformation, ψ (s) = φ(s)y(s) It reduces Eq(1) to hypergeometric-type equation of the form σ (s)y +τ (s)y + λy = 0. To obtain the value of k , the expression under the square root must be the square of the polynomial This implies that another eigenvalue equation for the second order equation becomes λ. If we compare Eqs (8) and (9), the energy eigenvalues is obtained
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
