Classification of exactly solvable potential problems

Foundations of Physics 23 (5):851-856 (1993)
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Abstract

A differential equation with a known solution is transformed by changing both its dependent and independent variables, and the resulting nonlinear differential equation is then compared with the Schrödinger equation. The method is demonstrated using the confluent hypergeometric differential equation and the solutions to hydrogen, SHO and l=0 Morse potential problems are obtained

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10.1007/bf01883814

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