Quantization, group contraction and zero point energy
量子物理
2009-11-07 v1 高能物理 - 理论
摘要
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.
关键词
引用
@article{arxiv.quant-ph/0208012,
title = {Quantization, group contraction and zero point energy},
author = {M. Blasone and E. Celeghini and P. Jizba and G. Vitiello},
journal= {arXiv preprint arXiv:quant-ph/0208012},
year = {2009}
}
备注
6 pages, 3 figures