Group theory of the Morse potential
We map the problem of a Morse potential in one dimension into a two-dimensional harmonic oscillator. The symmetry group for this problem is U(2). Starting from the dynamical group Sp(4), we use two different chains of groups including SU(1,1) and U(2) respectively.
KeywordsSymmetry Group Dynamical Group Morse Potential Algebraic Formulation Radial Equation
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- L. Pauling & E.B. Wilson, Introduction to Quantum Mechanics. (McGraw-Hill, New York, 1935).Google Scholar