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An sl(4,R) Lie algebraic approach to the Bargmann functions and its application to the second Poschl-Teller equation

Published under licence by IOP Publishing Ltd
, , Citation C Quesne 1989 J. Phys. A: Math. Gen. 22 3723 DOI 10.1088/0305-4470/22/17/037

0305-4470/22/17/3723

Abstract

The sl(4,R) Lie algebraic treatment of the Winger SU(2) matrices (1959) is extended by analytical continuation to the Bargmann SU(1,1) matrices (1947) corresponding to the positive discrete series irreducible representations. It is then used to obtain an sl(4,R) dynamical potential algebra for the negative-energy solutions of the second Poschl-Teller equations (1933).

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10.1088/0305-4470/22/17/037