Results 81 to 90 of about 318,666 (216)

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

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
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

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  

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 9, Page 1932-1944, September 2026.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome

Advanced Science, Volume 13, Issue 51, 14 September 2026.
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco, Yonatan Sanz Perl, Natasha Greenstein, Shamil Chandaria, Gregory Scholes, Morten L. Kringelbach   +5 more
wiley   +1 more source

Modular flow in JT gravity and entanglement wedge reconstruction

Journal of High Energy Physics
It has been shown in recent works that JT gravity with matter with two boundaries has a type II ∞ algebra on each side. As the bulk spacetime between the two boundaries fluctuates in quantum nature, we can only define the entanglement wedge for each side
Ping Gao
doaj   +1 more source

Quantum Master Equation for Electronic Structure in Open Graphene: Non‐Hermitian Hamiltonians and Types of Dissipative Dynamics

Annalen der Physik, Volume 538, Issue 9, September 2026.
Electron transport is studied between carbon atoms in the open graphene, while assuming bands to be collective states of electrons in the presence of lattice atoms. To describe dissipative effects, non‐Hermitian extension of the band Hamiltonian is proposed, which models spontaneous emission or injection.
Konstantin G. Zloshchastiev
wiley   +1 more source

On Involutive Weak Exchange Algebras

Bulletin of the Section of Logic
In this paper, involutive weak exchange algebras (for short, involutive WE algebras) are introduced and studied. Their properties and characterizations are investigated. Some important results and examples are given.
Andrzej Walendziak
doaj   +1 more source