Published February 20, 1996
| Version v1
Journal article
On the geometry of quantum states
Creators
- 1. Instituto de Matematicas, Instituto de Ciencias Nucleares, UNAM, Cd. Universitaria, 04510 Mexico, D.F. (Mexico)
Description
Using category theory we show that basic elements of quantum theory, like complexifications, Clifford algebras and projective spaces, appear naturally as universal objects of functors. We give the homotopy equivalence between the U(1)-classifying bundle in topology and the projective bundle associated with a separable Hilbert space
Additional details
Identifiers
- DOI
- 10.1063/1.49720;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 359
- Journal Issue
- 1
- Journal Page Range
- p. 495-499
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- Workshops on particles and fields and phenomenology of fundamental interactions
- Dates
- 30 Oct - 3 Nov 1995
- Place
- Puebla (Mexico)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40034236
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CLIFFORD ALGEBRA; GEOMETRY; HILBERT SPACE; QUANTUM FIELD THEORY; TOPOLOGY; U-1 GROUPS
- Descriptors DEC
- BANACH SPACE; FIELD THEORIES; LIE GROUPS; MATHEMATICAL SPACE; MATHEMATICS; SPACE; SYMMETRY GROUPS; U GROUPS
Optional Information
- Notes
- (c) 1996 American Institute of Physics.