An algebraic theory of infinite classical lattices III: Theory of single measurements
| dc.creator | Ridgeway, Don | |
| dc.date | 2007-07-06 | |
| dc.date.accessioned | 2026-07-07T08:14:16Z | |
| dc.date.available | 2026-07-07T08:14:16Z | |
| dc.description | This is the third in a series of papers dealing with the algebraic theory of infinite classical lattices. This paper presents a theory of single measurements on a lattice which we represent as comprising a finite subvolume--the system of measurement--immersed in an infinite surround or ``heat bath'' which determines the system's state. We consider the class of all stationary distributions on the set of microcanonical states of the infinite lattice. The theory addresses the question, ``For a lattice initially in state A, say, what is the probability that measurement of a certain quantity will take a value in (a,b)?'' Discussion includes description of the source of randomness in a measurement as well as characterization of the given states A. | |
| dc.description | 9 pages, LaTex amsart | |
| dc.identifier | https://arxiv.org/abs/0707.0882 | |
| dc.identifier | http://arxiv.org/abs/0707.0882 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133065 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46A13, 46M40 | |
| dc.title | An algebraic theory of infinite classical lattices III: Theory of single measurements | |
| dc.type | text |