In quantum mechanics, the dynamics of a particle in a spherically symmetric potential has a Hamiltonian of the following form:
where denotes the mass of the particle in the potential.
In its quantum mechanical formulation, it amounts to solving the Schrödinger equation with the potential V(r) which depend only on r, the modulus of r. Due to the spherical symmetry of the system it is useful to use spherical coordinates r, and . When this is done, the time-independent Schrödinger equation for the system is separable.
Read more about Particle In A Spherically Symmetric Potential: Structure of The Eigenfunctions, Derivation of The Radial Equation, Solutions For Potentials of Interest
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