The fundamental solution of this system’s Hamiltonian is the Mehler kernel. The Landau levels equal the eigenvalues of a 2D analog of this system’s Hamiltonian. The squeeze operator can be used to act on the coherent states of this system. Eigenfunctions in this system can be constructed by applying operators denoted“a” and “a-dagger”, known as (*) ladder operators. The Dulong-Petit law’s high-temperature limit of “3 k-sub B”is reflected in a lattice of these systems that Albert Einstein used to model heat capacity. Collective excitations in a lattice of these systems are known as phonons. The energy levels of this non-classical system are quantized in multiples of “h-bar omega”. For 10 points, name this quantum analogue of systems that obey Hooke’s law. ■END■
ANSWER: quantum harmonic oscillator [or QHOs; prompt on oscillator]
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