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A set of states for this system forms a prototypical overcomplete basis for which one can apply E. C. G. Sudarshan’s P representation. The Hardy–Hille formula generalizes the propagator of this system, called the Mehler kernel. Each index in a Fock space is given by one of these systems, since a real scalar field is represented by infinitely many of these systems coupled together. (10[1])Roy J. Glauber introduced this system’s canonical coherent states. An independent collection of these systems are modelled in an Einstein solid. Operators denoted a and a-dagger are used to solve for this system’s energy levels and are denoted “creation” and “annihilation,” respectively. (-5[1])This system’s energy levels are quantized in units of h-bar omega. For 10 points, name this non-classical analogue of a mass on a spring. (10[1])■END■ (10[1]0[4])

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