Symmetries and conservation laws in histories-based generalized quantum mechanics
| dc.creator | Dass, Tulsi | |
| dc.creator | Joglekar, Yogesh N. | |
| dc.date | 1998-12-05 | |
| dc.date | 2000-09-17 | |
| dc.date.accessioned | 2026-07-07T03:32:49Z | |
| dc.date.available | 2026-07-07T03:32:49Z | |
| dc.description | Symmetries are defined in histories-based generalized quantum mechanics paying special attention to the class of history theories admitting quasitemporal structure (a generalization of the concept of `temporal sequences' of `events' using partial semigroups) and logic structure for `single time histories'. Symmetries are classified into orthochronous (those preserving the `temporal order' of `events') and non-orthochronous. A straightforward criterion for physical equivalence of histories is formulated in terms of orthochronous symmetries; this criterion covers various notions of physical equivalence considered by Gell-Mann and Hartle as special cases. In familiar situations, a reciprocal relationship between traditional symmetries (Wigner symmetries in quantum mechanics and Borel-measurable transformations of phase space in classical mechanics) and symmetries defined in this work is established. In a restricted class of theories, a definition of conservation law is given in the history language which agrees with the standard ones in familiar situations; in a smaller subclass of theories, a Noether type theorem (implying a connection between continuous symmetries of dynamics and conservation laws) is proved. | |
| dc.description | 31 pages. Several typos corrected. A combined version of this paper and gr-qc/9905028 (available at gr-qc/0001006) will be published in Annals of Physics | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9812018 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9812018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36376 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Quantum Physics | |
| dc.title | Symmetries and conservation laws in histories-based generalized quantum mechanics | |
| dc.type | text |