Dynamical Symmetry of the Hydrogen Atom
نویسنده
چکیده
We examine a hidden symmetry of the hydrogen atom in quantum mechanics using the quantum mechanical analog of the classical Lenz vector and its relation to the generators of the familiar SO(3) rotational group. We use as our tool some basic concepts in algebraic group theory. The result is a mathematical description of a higher-dimension symmetry under the SO(4) group, or the rotational group in four dimensions. We use this insight to derive the energy eigenvalues of the hydrogen atom, and many of its constraints and features, free of the Schrödinger wave equation.
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تاریخ انتشار 2008