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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…