Physical Consequences of Noncanonical Quantizations — An Example of so(2,1) Oscillator
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.
Keywordsnoncanonical oscillators noncanonical quantizations alternative structures
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