Dimensionality and Energy Levels of Quantum Mechanical Systems

Authors: Harry A. MAVROMATIS

Abstract: The $N$-dimensional Schrödinger equation involving a general, central potential $V_N(r)$, is decomposed into a 3-dimensional component plus a term that may be treated as a dimension-dependent perturbation. This allows discussion of the general $N$-dimensional system from a 3-dimensional perspective.

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