Algebraic description of one-dimensional potentials and the su(1,1) Lie algebra

摘要

The eigenstates of a particle in a rectangular-well potential with appropriate boundary conditions are proved to be the standard basis of an irreducible representation of the su(1,1) Lie algebra. The algebra operators are constructed explicitly. Other potentials can be related to the su(1,1) Lie algebra in this framework. This algebraic approach allows us to write an algebraic parametrization for the R-function. (author). 15 refs. (Atomindex citation 26:067898)