Results 231 to 240 of about 9,260 (251)

Differential Geometry of Quantum States, Observables and Evolution

Quantum Physics and Geometry, 2019
The geometrical description of Quantum Mechanics is reviewed and proposed as an alternative picture to the standard ones. The basic notions of observables, states, evolution and composition of systems are analysed from this perspective, the relevant ...
Florio M. Ciaglia, Alberto Ibort, G. Marmo   +2 more
semanticscholar   +1 more source

The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve y=xn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \set

Mathematical physics, analysis and geometry, 2023
J. Llibre, C. Valls
semanticscholar   +1 more source

Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry

, 2021
J. Gallier, J. Quaintance
semanticscholar   +1 more source

An algebraic model of almost transitive differential geometry

Mathematical Notes, 1993
The author develops an interesting algebraic model for the theory of \(G\)- structures whose Lie algebra of infinitesimal automorphisms is transitive. Some ideas of the author's approach are analogous to the theory of filtered Lie algebras described by \textit{V. W. Guillemin} and \textit{S. Sternberg} [Bull. Am. Math. Soc.
openaire   +3 more sources

Noncommutative geometry with graded differential Lie algebras

Journal of Mathematical Physics, 1997
Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the Connes–Lott prescription of noncommutative geometry, differs from that, however, by the implementation of unitary
openaire   +2 more sources

Quantum Clifford algebra from classical differential geometry

Journal of Mathematical Physics, 2002
We show the emergence of Clifford algebras of nonsymmetric bilinear forms as cotangent algebras of Kaluza–Klein (KK) spaces pertaining to teleparallel space–times. These spaces are canonically determined by the horizontal differential invariants of Finsler bundles of the type, B′(M)→S(M), where B′(M) is the set of all the tangent frames to a ...
Jose G. Vargas, Douglas G. Torr
openaire   +2 more sources

Current Algebras, the Sugawara Model, and Differential Geometry

Journal of Mathematical Physics, 1970
The Lie algebra defined by the currents in the Sugawara model is defined in a way that is natural from the point of view of Lie transformation theory and differential geometry. Previous remarks that the Sugawara model is associated with a field-theoretical dynamical system on a Lie group manifold are made more precise and presented in a differential ...
openaire   +3 more sources

Geometry of Differential Polynomial Functions, I: Algebraic Groups

American Journal of Mathematics, 1993
Let \({\mathcal F}\) be a differential field of characteristic zero with derivation \(\delta\), and let \({\mathcal C}\) be its field of constants. Assume that both fields are algebraically closed. In this paper and its sequels, the author studies differential polynomial functions on schemes \(X\) over \({\mathcal F}\) and their applications to the ...
openaire   +3 more sources

An algebraic geometry approach for the computation of all linear feedback Nash equilibria in LQ differential games

IEEE Conference on Decision and Control, 2015
C. Possieri, M. Sassano
semanticscholar   +1 more source

GEOMETRY OF DIFFERENTIAL EQUATIONS AND PROJECTIVE REPRESENTATIONS OF THE WITT ALGEBRA

International Journal of Modern Physics B, 1992
We give explicit expressions for the singular vectors in highest weight representations of the Virasoro algebra using a precise definition of fusion.
openaire   +2 more sources