Results 61 to 70 of about 14,266 (165)
Currents on Grassmann algebras
, 1993 We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms ...
Berezin +10 more
core +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, Volume 73, Issue 12, December 2025.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
New Approach to Generalized Berezin Norms and Rigorous Operator Bounds
MathematicsLet HΘ,⟨·,·⟩ be a reproducing kernel Hilbert space over a non-empty set Θ, and let A be a non-zero positive operator on HΘ. This operator induces a semi-inner product given by ⟨ξ,η⟩A=⟨Aξ,η⟩ for all ξ,η∈HΘ, with the associated seminorm ∥ξ∥A=⟨ξ,ξ⟩A.
Ghadah Albeladi, Kais Feki, Hala H. Taha
doaj +1 more source
On the probabilistic approach for Gaussian Berezin integrals
, 2003 We present a novel approach to Gaussian Berezin correlation functions. A formula well known in the literature expresses these quantities in terms of submatrices of the inverse matrix appearing in the Gaussian action.
Beccaria +11 more
core +1 more source
Improved inequalities for the Berezin number
Journal of Mathematical InequalitiesSummary: A functional Hilbert space is the Hilbert space of complex-valued functions on some set \(\Theta\subseteq\mathbb{C}\) that the evaluation functionals \(\varphi_\tau(f) = f(\tau)\), \(\tau\in\Theta\) are continuous on \(\mathscr{H}\). The Berezin number (radius) of an operator \(T\) is defined by \(\mathbf{ber}(T) = \sup\limits_{\tau\in\Theta}|\
Afraz, Davood +2 more
openaire +1 more source
MHD Forecasting of Solar Wind With Coronal Mass Ejections
Space Weather, Volume 23, Issue 12, December 2025.Abstract We present a model, implemented as an online service, for predicting the speed and density of solar wind in the inner heliosphere and near Earth. The model is based on a numerical magnetohydrodynamics code PLUTO. The inner boundary maps are continuously obtained from the National Centers for Environmental Prediction, where they are updated 1 ...
S. Arutyunyan +3 more
wiley +1 more source
Irisin, the Myokine: Guardian and Mediator in Cardiovascular System
Endocrinology, Diabetes &Metabolism, Volume 8, Issue 6, November 2025.This graphical abstract illustrates the interconnections between key cardiovascular and cerebrovascular conditions, along with potential influencing factors. Central to the diagram are several critical pathological states: Atherosclerosis, which is linked to downstream cardiovascular events such as myocardial infarction and myocardial ischemia ...
Tian Lan +6 more
wiley +1 more source
On the remainder term of the Berezin inequality on a convex domain
, 2016 We study the Dirichlet eigenvalues of the Laplacian on a convex domain in $\mathbb{R}^n$, with $n\geq 2$. In particular, we generalize and improve upper bounds for the Riesz means of order $\sigma\geq 3/2$ established in an article by Geisinger, Laptev ...
Larson, Simon
core +1 more source
Annalen der Physik, Volume 537, Issue 9, September 2025.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley +1 more source
, 2002 We investigate a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-integrable holomorphic sections in a line bundle over the classical phase ...
Alicki +37 more
core +3 more sources