Canonical Coherent States

This chapter is devoted to a fairly detailed examination of the quintessential example of coherent states — the canonical coherent states. It is fair to say that the entire subject of coherent states developed by analogy from this example. As mentioned in Chapter 1, this set of states, or rays in the Hilbert space of a quantum mechanical system, was originally discovered by Schrodinger transition from quantum to classical mechanics. They are endowed with a remarkable array of interesting properties, some of which we shall survey in this chapter. Apart from initiating the discussion, this will also help us in motivating the various mathematical directions in which one can try to generalize the notion of a CS.

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