Local submanifolds - Open Access .click

Results 1 to 10 of about 5,895,038 (194)

Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics [PDF]

Entropy
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
doaj +2 more sources

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
doaj +1 more source

Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding

Shanghai Jiaotong Daxue xuebao, 2021
Aimed at the problem of high dimension and nonlinearity of variable data in chemical process, a process fault detection algorithm based on neighborhood preserving embedding(NPE )-principal polynomial analysis (PPA) is proposed in this paper.
LI Yuan, YAO Zongyu
doaj +1 more source

Automorphisms of Submanifolds

Advances in Difference Equations, 2010
The paper deals with local symmetries of the infinite-order jet space of C∞-smooth n-dimensional submanifolds in ℝm+n. Transformations under consideration are the most general possible.
Veronika Chrastinová, Václav Tryhuk +1 more
doaj +2 more sources

Geometrical modeling and numerical analysis of edge dislocation

Nihon Kikai Gakkai ronbunshu, 2021
In this study, we conduct modeling and numerical analysis of a straight edge dislocation in a three-dimensional geometrically nonlinear elastic medium.
Shunsuke KOBAYASHI, Ryuichi TARUMI
doaj +1 more source

Jordan-Wigner dualities for translation-invariant Hamiltonians in any dimension: Emergent fermions in fracton topological order

Physical Review Research, 2020
Inspired by recent developments generalizing Jordan-Wigner dualities to higher dimensions [Ann. Phys. 393, 234 (2018)APNYA60003-491610.1016/j.aop.2018.03.024], we develop a framework of such dualities using an algebraic formalism for translation ...
Nathanan Tantivasadakarn
doaj +1 more source

The geometry of the Hermitian matrix space and the Schrieffer–Wolff transformation [PDF]

Quantum
In quantum mechanics, the Schrieffer–Wolff (SW) transformation (also called quasi-degenerate perturbation theory) is known as an approximative method to reduce the dimension of the Hamiltonian.
Gergo Pinter +3 more
doaj +1 more source

Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]

Surveys in Mathematics and its Applications, 2006
We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
doaj

Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry

Physical Review Research, 2020
A global symmetry (0-symmetry) in an n-dimensional space acts on the whole space. A higher symmetry acts on closed submanifolds (i.e., loops and membranes, etc.), and those transformations form a higher group.
Liang Kong +4 more
doaj +1 more source

Geometric Inequalities for Skew CR-Warped Product Submanifolds in Locally Conformal Almost Cosymplectic Manifolds

Mathematics
In this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
doaj +1 more source

physics