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

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14  Many particles

14.1  Two-particle wave functions

image

In this chapter we will consider quantum systems composed of two or more particles. To make our analysis look as simple as possible, we will suppose that these particles each move in one dimension. However, as the exercises will make clear, our results can be easily generalized to particles moving in 3-D space.

To begin, suppose a system has just two particles, designated #1 and #2. The Hilbert space for this composite system is image(1)(2), the tensor product of the Hilbert spaces for each particle. ...

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