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

par Quesne, Christiane
Référence Journal of Physics A: Mathematical and General, 22, 17, page (3723-3730), 037
Publication Publié, 1989

Article révisé par les pairs

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Résumé :

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).