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Quantum Processes Systems, and Information by Michael Westmoreland, Benjamin Schumacher

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16  Bound states in 3-D

16.1 Central potentials

image

In this chapter we will consider the stationary states of a particle of mass μ moving in three dimensions. (As we discussed in Section 14.2, this may in fact represent a relative position degree of freedom of a system of two or more particles, in which case μ is the reduced mass.) For a stationary state with energy E, the wave function ψ(image) must satisfy

image

(Re 11.28)

We wish to find the possible ...

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