Quantization, group contraction and zero point energy

Details Quantization, group contraction and zero point energy Quantization, group contraction and zero point energy

2002-08-02

arxiv.org/abs/quant-ph/0208012v1

Phys.Lett. A310 (2003) 393-399

Physics

Quantum Physics

6 pages, 3 figures

Scientific paper

10.1016/S0375-9601(03)00374-8

We study algebraic structures underlying 't Hooft's construction relating classical systems with the quantum harmonic oscillator. The role of group contraction is discussed. We propose the use of SU(1,1) for two reasons: because of the isomorphism between its representation Hilbert space and that of the harmonic oscillator and because zero point energy is implied by the representation structure. Finally, we also comment on the relation between dissipation and quantization.

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