Homotopy groups and the quantization of localizable systems

B. Angermann and H.D. Doebner

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 433-438

Abstract: A method of quantization for non-relativistic physical systems S on a Riemannian manifold M is discussed. To characterize the method, we deduce from geometric considerations abstract postulates consistent with the principles laid down by axiomatic quantum mechanics. We construct a large variety of such quantizations and show that this variety is determined by the topology of M. The problem of finding the “correct” quantum description for a system S on M is discussed. Group actions on M lead, inside the given mathematical framework, to systems of imprimitivity on M.

Date: 1982
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437182903272
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:433-438

DOI: 10.1016/0378-4371(82)90327-2

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().