Bound States in Three Dimensions
Introduction of the Schrödinger equation with potential. Partial-wave decomposition. Spherical harmonics as eigenfunctions of angular momentum. Radial Schrödinger equation. Centrifugal barrier. Normalization and orthogonality of bound-state wave functions.Infinitely deep square-well potential. Spherical step potential. Harmonic oscillator. Coulomb potential. Harmonic particle motion.
KeywordsHarmonic Oscillator Contour Line Coulomb Potential Energy Eigenvalue Principal Quantum Number
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