Results 81 to 90 of about 140,041 (215)

Differential representations of dynamical oscillator symmetries in discrete Hilbert space

Discrete Dynamics in Nature and Society, 2000
As a very important example for dynamical symmetries in the context of q-generalized quantum mechanics the algebra aa†−q−2a†a=1 is investigated.
Andreas Ruffing
doaj   +1 more source

Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4074-4095, 30 March 2026.
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani, Cristiana J. Silva, Guillaume Cantin   +2 more
wiley   +1 more source

On the Linking Algebra of Hilbert Modules and Morita Equivalence of Locally C^*-Algebras [PDF]

Surveys in Mathematics and its Applications, 2006
In this paper we introduce the notion of linking algebra of a Hilbert module over a locally C*-algebra and we extend in the context of locally C*-algebras a result of Brown, Green and Rieffel [Pacific J., 1977] which states that two C*-algebras are ...
Maria Joita
doaj  

Duality for Evolutionary Equations With Applications to Null Controllability

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4144-4166, 30 March 2026.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

Geometric Algebras and Fermion Quantum Field Theory

Quanta
Corresponding to a finite dimensional Hilbert space $H$ with $\dim H=n$, we define a geometric algebra $\mathcal{G}(H)$ with $\dim\left[\mathcal{G}(H)\right]=2^n$. The algebra $\mathcal{G}(H)$ is a Hilbert space that contains $H$ as a subspace.
Stan Gudder
doaj   +1 more source

Perfect Hilbert algebras

Reports on Mathematical Logic
In [S. Celani and L. Cabrer. Duality for finite Hilbert algebras. Discrete Math., 305(1-3):74{99, 2005.] the authors proved that every finite Hilbert algebra A is isomorphic to the Hilbert algebra HK(X) = {w ⇒ i v : w ∈ K and v ⊆ w}, where X is a finite poset, K is a distinguished collection of subsets of X, and the implication ⇒i is defined by: w ⇒i ...
openaire   +1 more source

Robust Control Design and Analysis Based on Lifting Linearization of Nonlinear Systems Under Uncertain Initial Conditions

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 3047-3067, 25 March 2026.
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley   +1 more source

Algebras and their covariant representations in quantum gravity

Journal of High Energy Physics
We study a physically motivated representation of an algebra of operators in gravitational and non gravitational theories called the covariant representation of an algebra.
Eyoab Bahiru
doaj   +1 more source

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Entanglement Distribution in Quantum Networks Via Swapping of Partially Entangled Pure States

Annalen der Physik, Volume 538, Issue 3, March 2026.
The manuscript establishes a unified theoretical framework for entanglement swapping with partially entangled pure states across diverse quantum‐network topologies. By deriving closed‐form expressions for the full output ensembles and success probabilities, we show that successive swapping operations generate a binomially distributed spectrum of ...
Henrique Guerra, Tailan S. Sarubi, Rafael Chaves, Jonas Maziero   +3 more
wiley   +1 more source