Published 2010
| Version v1
Journal article
Spectral distance on the Moyal plane
Description
We compute the spectral distance, defined in Connes' noncommutative geometry, in the Moyal plane. We find that the distance between the eigenstates m,m+1 of the quantum harmonic oscillator is proportional to m-1/2. We also show how to truncate the Moyal spectral triple in order to obtain quantum metric spaces in the sense of Rieffel.
Additional details
Identifiers
Publishing Information
- Journal Title
- Verhandlungen der Deutschen Physikalischen Gesellschaft
- Journal Issue
- Bonn 2010 issue
- Series
- Also available as printed version: Verhandlungen der Deutschen Physikalischen Gesellschaft v. 45(2)
- Journal Page Range
- [1 p.]
- ISSN
- 0420-0195
- CODEN
- VDPEAZ
Conference
- Title
- 74. Annual meeting with ordinary general meeting of the DPG and 2010 Spring meeting with the professional associations extraterrestrial physics, gravitation and theory of relativity, hadrons and nuclei, particle physics, theoretical and mathematical fundamentals of the physics, the working teams equal opportunities, energy, the working groups information, young DPG, philosophy of the physics, physics and disarmament, symposia industry and book exhibition
- Original Conference Title
- 74. Jahrestagung mit Ordentlicher Mitgliederversammlung der DPG und Fruehjahrstagung 2010 mit den Fachverbaenden Extraterrestrische Physik, Gravitation und Relativitaetstheorie, Hadronen und Kerne, Teilchenphysik, Theoretische und Mathematische Grundlagen der Physik, den Arbeitskreisen Chancengleichheit, Energie, den Arbeitsgruppen junge DPG, Information, Philosophie der Physik, Physik und Abruestung, Symposien Industrie- und Buchausstellung
- Dates
- 15-19 Mar 2010
- Place
- Bonn (Germany)
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 41130211
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- COMMUTATION RELATIONS; EIGENSTATES; EIGENVALUES; ENERGY SPECTRA; GEOMETRY; HAMILTONIANS; HARMONIC OSCILLATORS; MATHEMATICAL SPACE; METRICS; QUANTUM MECHANICS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE; SPECTRA
Optional Information
- Notes
- Session: MP 2.1 Di 09:30; No further information available