Luigi Barletti (2003)
Bollettino dell'Unione Matematica Italiana
The paper is devoted to review, from a mathematical point of view, some fundamental aspects of the Wigner formulation of quantum mechanics. Starting from the axioms of quantum mechanics and of quantum statistics, we justify the introduction of the Wigner transform and eventually deduce the Wigner equation.
Ludvig Faddeev (1998)
Publications Mathématiques de l'IHÉS
Christophe Besse, Brigitte Bidégaray-Fesquet, Antoine Bourgeade, Pierre Degond, Olivier Saut (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This article presents the derivation of a semi-classical model of electromagnetic-wave propagation in a non centro-symmetric crystal. It consists of Maxwell’s equations for the wave field coupled with a version of Bloch’s equations which takes fully into account the discrete symmetry group of the crystal. The model is specialized in the case of a KDP crystal for which information about the dipolar moments at the Bloch level can be recovered from the macroscopic dispersion properties of the material....
Christophe Besse, Brigitte Bidégaray-Fesquet, Antoine Bourgeade, Pierre Degond, Olivier Saut (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This article presents the derivation of a semi-classical model of electromagnetic-wave propagation in a non centro-symmetric crystal. It consists of Maxwell's equations for the wave field coupled with a version of Bloch's equations which takes fully into account the discrete symmetry group of the crystal. The model is specialized in the case of a KDP crystal for which information about the dipolar moments at the Bloch level can be recovered from the macroscopic dispersion properties of the material. ...
Pavel Pták, Sylvia Pulmannová (1994)
Commentationes Mathematicae Universitatis Carolinae
We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.
Bar-Moshe, David (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Griesemer, Marcel, Lewis, Roger T., Siedentop, Heinz (1999)
Documenta Mathematica
E. B. Davies (1978)
Annales de l'I.H.P. Physique théorique
Oprisan, Cristian-Dan (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Da Prato, Giuseppe, Debussche, Arnaud, Tubaro, Luciano (2007)
Electronic Communications in Probability [electronic only]
Peter Price (1983)
Manuscripta mathematica
Giuseppe Maria Coclite (2002)
Annales Polonici Mathematici
We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
Qinxiu Sun, Qiong Lou, Hongliang Li (2021)
Czechoslovak Mathematical Journal
The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also studied. In particular, we give a necessary and sufficient condition that -matrix is a solution of the Hom--equation by a cocycle condition.
Le Ba Long (1992)
Applications of Mathematics
We give a representation of an observable on a fuzzy quantum poset of type II by a pointwise defined real-valued function. This method is inspired by that of Kolesárová [6] and Mesiar [7], and our results extend representations given by the author and Dvurečenskij [4]. Moreover, we show that in this model, the converse representation fails, in general.
Kravchenko, V.V. (2000)
Zeitschrift für Analysis und ihre Anwendungen
Dragović, Vladimir (1998)
Publications de l'Institut Mathématique. Nouvelle Série
Romuald Lenczewski (1998)
Studia Mathematica
We state and prove a noncommutative limit theorem for correlations which are homogeneous with respect to order-preserving injections. The most interesting examples of central limit theorems in quantum probability (for commuting, anticommuting, and free independence and also various q-qclt's), as well as the limit theorems for the Poisson law and the free Poisson law are special cases of the theorem. In particular, the theorem contains the q-central limit theorem for non-identically distributed variables,...
Mauro Fabrizio, Giorgio Gentili (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We will formulate a macroscopic theory of Superfluidity, using a particular constitutive equation of differential form which we will demonstrate to be equivalent to a non-local relation between the stress and the density.
Lapointe, Luc, Le Borgne, Yvan, Nadeau, Philippe (2009)
The Electronic Journal of Combinatorics [electronic only]
Zahradník, M. (1980)
Abstracta. 8th Winter School on Abstract Analysis