8
Time-Independent Schrödinger Equation in Three Dimensions
In this chapter, we consider a few simple potentials for which we determine the bound state, as well as the scattering state, solutions of the time-independent Schrödinger equation given by
Therefore, depending on the nature of the potential, we can employ either Cartesian coordinates or spherical polar coordinates or any other curvilinear coordinate systems.
8.1 PARTICLE IN A RECTANGULAR BOX
In one dimension, we considered a particle confined to a region 0 < x < L.
We can extend this idea to three dimensions.
The potential V (r) is now given by
Fig. 8.1 Rectangular box potential ...
Get Quantum Mechanics now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
