After discussing the basic definitions and formalism in quantum mechanics, it is now time for dynamical calculations. We will do perhaps the easiest and yet very informative case of free particles. What we learned in the previous chapters will now be put into play. We will obtain the free particle wavefunction in one dimension and in three dimensions. For the latter case we will consider both the Cartesian and spherical coordinate systems and finally, in the spherical system, we will introduce the angular momentum operator and spherical harmonics.

In the absence of any forces, that is, with the potential *V* = 0, the Hamiltonian for a particle of mass *m* is given entirely by the kinetic energy ...

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