Connes distance function on fuzzy sphere and the connection between geometry and statistics
DOI10.1063/1.4918648zbMath1332.81099arXiv1406.6782OpenAlexW2085574610MaRDI QIDQ5250064
Shivraj Prajapat, Yendrembam Chaoba Devi, Frederik G. Scholtz, Aritra K. Mukhopadhyay, Biswajit Chakraborty
Publication date: 15 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.6782
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative geometry in quantum theory (81R60) General theory of topological algebras (46H05) Noncommutative geometry (à la Connes) (58B34) Inner product spaces and their generalizations, Hilbert spaces (46C99)
Related Items (1)
Cites Work
- Unnamed Item
- Noncommuting coordinates and magnetic monopoles
- Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
- Inner fluctuations in noncommutative geometry without the first order condition
- The construction of noncommutative manifolds using coherent states
- Riemannian structure on manifolds of quantum states
- Field theory on a supersymmetric lattice
- Formulation of the Landau-Lifshitz model of ferromagnetism as a constrained dynamical system
- String theory and noncommutative geometry
- The Dirac operator on the fuzzy sphere
- The quantum structure of spacetime of the Planck scale and quantum fields
- Metric properties of the fuzzy sphere
- Formulation, interpretation and application of non-commutative quantum mechanics
- Noncommutative geometry and reality
- Spectral triplets, statistical mechanics and emergent geometry in non-commutative quantum mechanics
- A unifying perspective on the Moyal and Voros products and their physical meanings
- Coulomb problem in non-commutative quantum mechanics
- Noncommutative quantum mechanics—a perspective on structure and spatial extent
- Disctances in finite spaces from noncommutative geometry
This page was built for publication: Connes distance function on fuzzy sphere and the connection between geometry and statistics