Shape Invariant Potentials Solved by the Generalized Laguerre Polynomials

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dc.contributor.advisorGéza , Lévai
dc.contributor.authorGadallah, Bavely
dc.contributor.departmentDE--Természettudományi és Technológiai Kar--Fizikai Intézet
dc.date.accessioned2024-06-10T12:09:55Z
dc.date.available2024-06-10T12:09:55Z
dc.date.created2024
dc.description.abstractA concept in supersymmetric quantum mechanics is shape invariant. If two potentials that are related by supersymmetry are shape-invariant, the whole spectrum and the corresponding eigenstates of each Hamiltonian can be solved by simple algebraic means. We investigate a certain method that is used to achieve analytically solvable potentials to the time-independent Schrödinger equation. From such method, a certain condition has to be met for the system to obey unbroken supersymmetry, the kind of supersymmetry that is of usual interest when dealing with shape-invariant potentials. This restriction on the set of analytically solvable potentials that can be achieved using this method helps in identifying which potentials are valid candidates for the test of shape-invariance.
dc.description.coursePhysics
dc.description.degreeBSc/BA
dc.format.extent27
dc.identifier.urihttps://hdl.handle.net/2437/371276
dc.language.isoen
dc.rights.accessHozzáférhető a 2022 decemberi felsőoktatási törvénymódosítás értelmében.
dc.subjectSupersymmetry
dc.subject.dspacePhysics
dc.subject.dspaceMathematics
dc.titleShape Invariant Potentials Solved by the Generalized Laguerre Polynomials
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