Exactly solvable potentials with finitely many discrete eigenvalues of arbitrary choice
نویسندگان
چکیده
منابع مشابه
On Exactly Solvable Potentials
We investigate two methods of obtaining exactly solvable potentials with analytic forms. PACS numbers:03.65.Ge,11.30.Pb There are two methods of obtaining exactly solvable potentials in quantum mechanics. The first method was developed by applying the technique of supersymmetry (SUSY) to the Schrödinger equation and obtain two potentials with almost identical spectra. The two potentials can be ...
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Using supersymmetric quantum mechanics we construct the quasiexactly solvable (QES) potentials with arbitrary two known eigenstates. The QES potential and the wave functions of the two energy levels are expressed by some generating function the properties of which determine the state numbers of these levels. Choosing different generating functions we present a few explicit examples of the QES p...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2014
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4880200