Results 51 to 60 of about 16,964 (172)
Path Integral Spin Dynamics for Quantum Paramagnets
Advanced Physics Research, Volume 4, Issue 8, August 2025.The study has developed a path integral method, which is a classical approach, combined with atomistic spin dynamics simulations to calculate thermal quantum expectation values. This method can handle Hamiltonians with non‐linear terms, which are important for describing uniaxial anisotropies and mechanical constraints.
Thomas Nussle +2 more
wiley +1 more source
Braided Cyclic Cocycles and Non-Associative Geometry
, 2004 We use monoidal category methods to study the noncommutative geometry of nonassociative algebras obtained by a Drinfeld-type cochain twist. These are the so-called quasialgebras and include the octonions as braided-commutative but nonassociative ...
Albuquerque H. +6 more
core +2 more sources
Heisenberg‐smooth operators from the phase‐space perspective
Mathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley +1 more source
Noncommutative Geometry of Lattice and Staggered Fermions
, 2000 Differential structure of a d-dimensional lattice, which is essentially a noncommutative exterior algebra, is defined using reductions in first order and second order of universal differential calculus in the context of noncommutative geometry (NCG ...
Balachandran +27 more
core +2 more sources
Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
Noncommutative generalization of SU(n)-principal fiber bundles: a review
, 2007 This is an extended version of a communication made at the international conference ``Noncommutative Geometry and Physics'' held at Orsay in april 2007.
Bott R +6 more
core +1 more source
Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley +1 more source
A general recipe to observe non‐Abelian gauge field in metamaterials
Nanophotonics, Volume 14, Issue 8, Page 1135-1143, April 2025.Abstract Recent research on non‐Abelian phenomena has cast a new perspective on controlling light. In this work, we provide a simple and general approach to induce non‐Abelian gauge field to tremble the light beam trajectory. With in‐plane duality symmetry relaxed, our theoretical analysis finds that non‐Abelian electric field can be synthesized ...
Bingbing Liu, Tao Xu, Zhi Hong Hang
wiley +1 more source
Noncommutative differential geometry on crossed product algebras
Journal of AlgebraWe provide a differential structure on arbitrary cleft extensions $B:=A^{\mathrm{co}H}\subseteq A$ for an $H$-comodule algebra $A$. This is achieved by constructing a covariant calculus on the corresponding crossed product algebra $B\#_σH$ from the data of a bicovariant calculus on the structure Hopf algebra $H$ and a calculus on the base algebra $B ...
Andrea Sciandra, Thomas Weber
openaire +4 more sources
Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
wiley +1 more source