Generalized coherent states
American Journal of Physics
American Association of Physics Teachers
This is the author accepted manuscript. The final version is available from the American Association of Physics Teachers via the DOI in this record.
In the coherent state of the harmonic oscillator, the probability density is that of the ground state subjected to an oscillation along a classical trajectory. Senitzky and others pointed out that there are states of the harmonic oscillator corresponding to an identical oscillatory displacement of the probability density of any energy eigenstate. These generalizations of the coherent state are rarely discussed, yet they furnish an interesting set of quantum states of light that combine features of number states and coherent states. Here we give an elementary account of the quantum optics of generalized coherent states.
American Journal of Physics, Vol. 82, 742