The characteristics and the relative conservation rules of the environment time-space with periodic symmetry

• Published in: Journal of molecular structure. Theochem 2005-01, Vol.713 (1), p.87-91
• Main Authors: Zhao, Xuezhuang, Yi, Xizhang, Guan, Daren, Xu, Xiufang, Wang, Guichang, Shang, Zhenfeng, Cai, Zunsheng, Pan, Yinming
• Format: Article
• Language: English
• Subjects: Conservation of generalized parity; Environment time-space; Periodic symmetry
• ISSN: 0166-1280; 1872-7999
• DOI: 10.1016/j.theochem.2004.09.036

In this work, we have put forward the conservation of generalized parity concerning the environment time-space, which involves the main points listed as follows: first, corresponding to the environment space with periodic symmetry the invariant is space-parity. Especially, for periodic translation the corresponding invariant is wave-parity. If the space periodic length approaches zero, the conservation of wave-parity will transform to the conservation of momentum. Second, corresponding to the environment time with periodic length the invariant is frequency-parity. If the time periodic length approaches zero, the conservation of frequency parity will transform to the conservation of energy. Third, for the environment time-space, if the time-space periodic length is very small but not null, we can get the formulae Δ EΔ t≥ h and Δ PΔ x≥ h, which are similar to the uncertainty principle. Finally, for an environment time-space with the measurable periodic length, we have analyzed the relative conservation rules.