Results 31 to 40 of about 312 (162)

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Device‐Independent Quantum Key Distribution: Protocols, Quantum Games and Security

IET Quantum Communication, Volume 7, Issue 1, January/December 2026.
Device‐independent quantum key distribution (DIQKD) removes the need to trust internal device behaviour by certifying security through Bell‐inequality violations, thereby closing practical loopholes in conventional QKD. This paper systematically reviews DIQKD foundations (Bell tests and security definitions), protocol frameworks (CHSH‐based and ...
Syed M. Arslan, Saif Al‐Kuwari, M. T. Rahim, Hashir Kuniyil   +3 more
wiley   +1 more source

Small oscillations and the Heisenberg Lie algebra [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
17 pages, it contains a theory about small oscillations in terms of the AKS ...
openaire   +2 more sources

Geometrical Applications of Split Octonions

Advances in Mathematical Physics, 2015
It is shown that physical signals and space-time intervals modeled on split-octonion geometry naturally exhibit properties from conventional (3 + 1)-theory (e.g., number of dimensions, existence of maximal velocities, Heisenberg uncertainty, and particle
Merab Gogberashvili, Otari Sakhelashvili
doaj   +1 more source

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Homology of analogues of Heisenberg Lie algebras [PDF]

Mathematical Research Letters, 2015
We calculate the homology of three families of 2-step nilpotent Lie (super)algebras associated with the symplectic, orthogonal, and general linear groups. The symplectic case was considered by Getzler and the main motivation for this work was to complete the calculations started by him.
openaire   +2 more sources

Quantum metrology with linear Lie algebra parameterizations

Physical Review Research
Lie algebraic techniques are powerful and widely used tools for studying dynamics and metrology in quantum optics. When the Hamiltonian generates a Lie algebra with finite dimension, the unitary evolution can be expressed as a finite product of ...
Ruvi Lecamwasam, Tatiana Iakovleva, Jason Twamley   +2 more
doaj   +1 more source

(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups

Axioms
We study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively.
Esmaeil Peyghan, Leila Nourmohammadifar, Akram Ali, Ion Mihai   +3 more
doaj   +1 more source

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

Constructing a Set of Kronecker–Pauli Matrices

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In quantum physics, the choice of basis is crucial for formulation. The generalization of the Pauli matrices via the Kronecker product, known as Pauli strings, is typically restricted to 2n‐dimensional systems. This paper explores extending this generalization to n‐dimensional systems, where n is an integer, n > 2, to construct n × n‐Kronecker–Pauli ...
Christian Rakotonirina, Vladimir Mityushev   +1 more
wiley   +1 more source