✍ Scribed by Joseph N Ginocchio
No coin nor oath required. For personal study only.
The three-dimensional Schriidinger equation with an effective mass is solved for a new class of angular momentum dependent potentials with varying depths and shapes. The energy eigenvalues and resonances are given in algebraic form as a function of the effective mass and depth and shape of the potential. The eigenfunctions, scattering function, and Green's function are given in closed form in terms of known special functions. The charge density of *'*Pb is calculated using eigenfunctions of a particular potential and this charge density is compared to the measured charge density.
📜 SIMILAR VOLUMES
The one-dimensional Schrodinger equation is solved for a new class of potentials with varying depths and shapes. The energy eigenvalues are given in algebraic form as a function of the depth and shape of the potential. The eigenfunctions and scattering function are also given in closed form. For ce
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