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5 papers · 2 filters
Bound-states for generalized trigonometric and hyperbolic Pöschl-Teller potentials
A. D. Alhaidari, I. A. Assi, A. Mebirouk
We use the "tridiagonal representation approach" to solve the time-independent Schrödinger equation for the bound states of generalized versions of the trigonometric and hyperbolic…
Bound-state solutions of the Schrödinger equation for two novel potentials
A. D. Alhaidari, I. A. Assi
We solve the one-dimensional Schrödinger equation for the bound states of two potential models with a rich structure as shown by their "spectral phase diagram". These potentials do…
Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity
A. D. Alhaidari
We use the tridiagonal representation approach to obtain an exact solution of the three-dimensional radial Schrödinger equation for a spiked oscillator with inverse quartic singula…
Bound states of a quartic and sextic inverse-powerlaw potential for all angular momenta
A. D. Alhaidari, I. A. Assi, A. Mebirouk
We use the tridiagonal representation approach to solve the radial Schrödinger equation for an inverse power-law potential of a combined quartic and sextic degrees and for all angu…
Deformed Morse-like potential
I. A. Assi, A. D. Alhaidari, H. Bahlouli
We introduce an exactly solvable one-dimensional potential that supports both bound and/or resonance states. This potential is a generalization of the well-known 1D Morse potential…