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

Quesne, Christiane

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Publication date

January 1989

DOI

10.1088/0305-4470/22/17/037

Publisher

IOP Publishing

ISSN

0305-4470

Citation count (estimate)

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).SCOPUS: re.jinfo:eu-repo/semantics/publishe

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

Abstract

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

Abstract

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