The Homological Kähler-de Rham Differential Mechanism : II. Sheaf-Theoretic Localization of Quantum Dynamics
Joint Authors
Mallios, Anastasios
Zafiris, Elias
Source
Advances in Mathematical Physics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-26
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The homological Kähler-de Rham differential mechanism models the dynamical behavior of physical fields by purely algebraic means and independently of any background manifold substratum.
This is of particular importance for the formulation of dynamics in the quantum regime, where the adherence to such a fixed substratum is problematic.
In this context, we show that the functorial formulation of the Kähler-de Rham differential mechanism in categories of sheaves of commutative algebras, instantiating generalized localization environments of physical observables, induces a consistent functorial framework of dynamics in the quantum regime.
American Psychological Association (APA)
Mallios, Anastasios& Zafiris, Elias. 2011. The Homological Kähler-de Rham Differential Mechanism : II. Sheaf-Theoretic Localization of Quantum Dynamics. Advances in Mathematical Physics،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-453113
Modern Language Association (MLA)
Mallios, Anastasios& Zafiris, Elias. The Homological Kähler-de Rham Differential Mechanism : II. Sheaf-Theoretic Localization of Quantum Dynamics. Advances in Mathematical Physics No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-453113
American Medical Association (AMA)
Mallios, Anastasios& Zafiris, Elias. The Homological Kähler-de Rham Differential Mechanism : II. Sheaf-Theoretic Localization of Quantum Dynamics. Advances in Mathematical Physics. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-453113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453113