Truncated harmonic oscillator with reflection: Representation, uncertainty relation and thermodynamics

초록

In this paper, we consider a truncated harmonic oscillator without reflection symmetry and a truncated harmonic oscillator with reflection symmetry. For both algebra, we investigate the representation, correct Hamiltonian and uncertainty relation. Especially, for a truncated harmonic oscillator with reflection symmetry, we discuss thermodynamics of a particle obeying this algebra.

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