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In this chapter, we shall investigate the interaction of a nonrelativistic
particle of mass and energy with various socalled central potentials,
, where
is the radial distance from the origin.
It is, of course, most convenient
to work in spherical polar coordinates, , during such an investigation (see Sect. 8.3). Thus, we shall be searching for stationary
wavefunctions,
, which satisfy the timeindependent
Schrödinger equation (see Sect. 4.12)

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where the Hamiltonian takes the standard nonrelativistic form

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Richard Fitzpatrick
20100720