One-dimensional Schrödinger equation with a new type double-well potential

Sergio A. Hojman, Felipe A. Asenjo

Boguslaw Stec, Czesław Jędrzejek

Miftahul Ma’arif, Muhammad Abyan Naufal, Suparmi Suparmi +1 more

Schrodinger equation for a doubled ring-shaped coulomb oscillator potential is investigated using supersymmetric quantum mechanics approach. The three dimensional Schrodinger equation for a doubled ring-shaped coulomb oscillator potential in cylindrical coordinates is separated into three parts that contains one dimensional Schrodinger type equation which are solved using supersymmetric operator and the idea of shape invariant potential. The energy spectrum and the total wave functions are obtained.

Chen Wang, P. G. Kevrekidis, N. Whitaker +1 more

Qiu Jian, Ru-keng Su C

A Wronskian determinant approach is suggested to study the energy and the wave function for one-dimensional Schrodinger equation. An integral equation and the corresponding Green's function are constructed. As an example, we employed this approach to study the problem of double-well potential with strong coupling. A series expansion of ground state energy up to the second order approximation of iterative procedure is given.

Qiu Jian, Su Rukeng

A Wronskian determinant approach is suggested to study the energy and the wave function for one-dimensional Schrodinger equation. An integral equation and its corresponding Green function are constructed. As an example, we employed this approach to study the problem of double-well potential with strong coupling. A series of expansion of ground state energy up to the second order approximation of iterative procedure is given.