Abstract
We consider noncanonical harmonic oscillator quantized as a representation of the so(2,1) algebra and investigate its termodynamical properties. For all temperatures the entropy of such a noncanonical oscillator is greater than the entropy of the canonical one. This may serve as an explanation why in the equilibrium the oscillator is canonical.
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Horzela, A. Physical Consequences of Noncanonical Quantizations — An Example of so(2,1) Oscillator. Czech J Phys 54, 1329–1334 (2004). https://doi.org/10.1007/s10582-004-9796-9
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DOI: https://doi.org/10.1007/s10582-004-9796-9