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The series solutions of the non-relativistic equation with the Morse potential. (English) Zbl 1073.81557

Summary: In this Letter the analytical solutions of the two-dimensional Schrödinger equation with the Morse potential are obtained by the series expansion method. We then generalize this method to the \(D\)-dimensional Schrödinger equation case. The studied Morse potential itself is expanded in the series about the origin.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35Q40 PDEs in connection with quantum mechanics
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