An exact solution of the Schrodinger equation for a multiterm potential

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, , Citation G P Flessas and A Watt 1981 J. Phys. A: Math. Gen. 14 L315 DOI 10.1088/0305-4470/14/9/001

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1 Dept. of Natural Philosophy, Univ. of Glasgow, UK

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0305-4470/14/9/L315

Abstract

The authors show that the Schrodinger equation with the potential Bx+Cx2+Dx3+Ex4 is exactly solvable on the half-line x>or=0, provided two simple relations between B,C,D and E hold. Some remarks concerning the B=D=0 case are made.

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