3 papers
quant-ph2021
Solvable Schrodinger Equations of Shape Invariant Potentials with Superpotential
Jamal Benbourenane
We propose a new, exactly solvable Schrödinger equation. The potential partner is given by \[{ V=}-Bp\operatorname{csch}[px]^{2}-9p(B+p)\operatorname*{sech}[3px]^{2}+(B\coth[px]-3(…
quant-ph2021
Solvable Schrodinger Equations of Shape Invariant Potentials Having Superpotential W(x,A,B)=Atanh(px)+Btanh(6px)
Jamal Benbourenane, Mohamed Benbourenane, Hichem Eleuch
A new proposed one dimensional time independent Schrödinger equation is solved completely using shape invariance method. The corresponding potential is given by V_(x,A,B) =-A(sechp…
quant-ph2020
Exactly Solvable Sextic Potential Having Symmetric Triple-Well Structure
Jamal Benbourenane, Mohamed Benbourenane, Hichem Eleuch
In this paper, we introduce a family of sextic potentials that are exactly solvable, and for the first time, a family of triple-well potentials with their whole energy spectrum and…