SO(2, 1), Supersymmetry and D-Dimensional Radial Schrodinger Equation

The radial supersymmetry of the ( d + 1 ) - dimensional relativistic rotating oscillators

Gradient symplectic algorithms for solving the radial Schrodinger equation.

The radial Schrodinger equation for a spherically symmetric potential can be regarded as a one-dimensional classical harmonic oscillator with a time-dependent spring constant. For solving classical dynamics problems, symplectic integrators are well known for their excellent conservation properties. The class of gradient symplectic algorithms is particularly suited for solving harmonic-oscillato...

Scattering and inverse scattering for the 1-D SchrOdinger equation witti energy-dependent potentials

The one-dimensional Schriidinger equation with a potential k2 V( X) proportional to energy is studied. This equation is equivalent to the wave equation with variable speed. When V(X) < 1, is bounded below, and satisfies two integrability conditions, the scattering matrix is obtained and its asymptotics for small and large energies are established. The inverse scattering problem of recovering V(...

Schrodinger Equation and Quantum Chemistry

Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet

This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of the radial Schrodinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived -13.6 eV. Numerical results of the ground state modes of wave function for the hydrogen R(r) or the electron probability density function, has been presented. The numerical results ha...