Algebraic treatment of second Poschl-Teller, Morse-Rosen and Eckart equations

Abstract

The method of an earlier paper (see ibid., vol.20, p.4075 (1987)) is applied to the non-compact case to solve a family of second Poschl-Teller Morse-Rosen and Eckart equations with quantised coupling constants. Both discrete and continuous spectra, bound state and scattering wavefunctions (transmission coefficients) are found from the matrix elements of group representations,.