The Schrodinger equation for the interaction potential x2+λx2/(1+gx2) and the first Heun confluent equation

G Marcilhacy; R Pons

doi:10.1088/0305-4470/18/13/020

Journal of Physics A: Mathematical and General

The Schrodinger equation for the interaction potential x²+λx²/(1+gx²) and the first Heun confluent equation

G Marcilhacy¹ and R Pons¹

Published under licence by IOP Publishing Ltd
Journal of Physics A: Mathematical and General, Volume 18, Number 13 Citation G Marcilhacy and R Pons 1985 J. Phys. A: Math. Gen. 18 2441 DOI 10.1088/0305-4470/18/13/020

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¹ Lab. de Phys. Theorique, CNRS, Paris, France

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Abstract

The authors present systematically the solutions and the quasi-polynomial solutions for the Schrodinger equation with the x²+ lambda x²/(1+gx²) interaction potential with the help of the first Heun confluent equation or spheroidal Heun equation.

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