4 papers · 1 filter
Exact solutions of a class of double-well potentials: Algebraic Bethe ansatz
Marzieh Baradaran, Hossein Panahi
In this paper, applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely the generalized Manning…
Integrable and superintegrable systems with higher order integrals of motion: master function formalism
Z. Alizadeh, H. Panahi
In this article, we construct two-dimensional integrable and superintegrable sys- tems in terms of the master function formalism and relate them to Mielnik;s and Marquette;s constr…
Algebraic approach to exact solution of the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space
H. Panahi, A. Savadi
In this paper we study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are…
Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential
Marzieh Baradaran, Hossein Panahi
In this paper, we study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions and t…