# Mixing quantum and classical mechanics and uniqueness of Planck's constant

@inproceedings{Sahoo2004MixingQA, title={Mixing quantum and classical mechanics and uniqueness of Planck's constant}, author={Debendranath Sahoo}, year={2004} }

Observables of quantum or classical mechanics form algebras called quantum or classical Hamilton algebras (HAs), respectively (Grgin and Petersen 1974 J. Math. Phys. 15 764, Sahoo 1977 Pramana 8 545). We show that the tensor product of two quantum HAs, each characterized by a different Planck's constant (PC), is an algebra of the same type characterized by yet another PC. The algebraic structure of mixed quantum and classical systems is then analysed by taking the limit of vanishing PC in one… CONTINUE READING

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