Bound-states solutions of the Radial Schrodinger equation for a Gaussian Potential within the framework of the Nikiforov-Uvarov Method (Published)
In this paper, we studied the approximate bound-state solutions of the radial Schrodinger equation with a quantum mechanical Gaussian potential, by using the generalized parametric Nikiforov-Uvarov method. The energy spectrum and the corresponding wave function were obtained analytically in closed form. The computed eigenvalues for the ground state and first excited state for sufficiently large potential depths are in good agreement with the results obtained with other methods.
Keywords: Gaussian potential, Nikiforov-Uvarov method., Schrodinger Equation
WKB Solutions for Quantum Mechanical Gravitational Potential plus Harmonic Oscillator Potential (Published)
We have obtained the exact energy spectrum for a quantum mechanical gravitational potential, plus a harmonic oscillator potential, via the WKB approach. Also a special case of the potential has been considered and their energy eigen value obtained.
Keywords: Bohr Sommerfeld Wkb Approximation., Harmonic Oscillator Potential, Quantum Mechanical Gravitational Potential, Schrodinger Equation