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