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

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15 Stationary states in 1-D

15.1  Wave functions and potentials

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In this chapter we will continue our discussion of the dynamics of a particle of mass μ moving in one dimension, which we began back in Chapters 10 and 11. Our focus here will be on the stationary states (energy eigenstates) and associated energies of such a particle. As we have seen, a knowledge of the stationary states and their energies is enough to determine the time evolution of an arbitrary, non-stationary state as well.

We have already studied stationary states of 1-D particles in some important special cases:

•  In Chapter 11 we found the energy eigenstates for free particles. ...

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