Results 41 to 50 of about 142,691 (284)
A new matrix formulation of the Maxwell and Dirac equations
Heliyon, 2018 Presented in this paper is a new matrix formulation of both the classical electromagnetic Maxwell equations and the relativistic quantum mechanical Dirac equation.
Richard P. Bocker, B. Roy Frieden
doaj +1 more source
Persistent Dirac for molecular representation
Scientific Reports, 2023 Molecular representations are of fundamental importance for the modeling and analysing molecular systems. The successes in drug design and materials discovery have been greatly contributed by molecular representation models.
Junjie Wee, Ginestra Bianconi, Kelin Xia
doaj +1 more source
, 2018 We show that a suitable notion of Dirac-Jacobi structure on a generic line bundle $L$, is provided by Dirac structures in the omni-Lie algebroid of $L$.
Vitagliano, Luca
core +1 more source
Letters in Mathematical Physics, 2000 The Courant bracket defined originally on the sections of the vector bundle TM ⊕ T*M → M is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows one to interpret many structures encountered in differential geometry in terms of Dirac structures. We give here a new approach to conformal Jacobi structures.
openaire +3 more sources
Dirac structures in vakonomic mechanics
Journal of Geometry and Physics, 2015 In this paper, we explore dynamics of the nonholonomic system called vakonomic mechanics in the context of Lagrange-Dirac dynamical systems using a Dirac structure and its associated Hamilton-Pontryagin variational principle. We first show the link between vakonomic mechanics and nonholonomic mechanics from the viewpoints of Dirac structures as well as
Jiménez, Fernando, Yoshimura, Hiroaki
openaire +3 more sources
On the Quantization of AB Phase in Nonlinear Systems
Entropy, 2022 Self-intersecting energy band structures in momentum space can be induced by nonlinearity at the mean-field level, with the so-called nonlinear Dirac cones as one intriguing consequence.
Xi Liu, Qing-Hai Wang, Jiangbin Gong
doaj +1 more source
Indagationes Mathematicae, 2014 A Dirac structure is a Lagrangian subbundle of a Courant algebroid, $L\subset\mathbb{E}$, which is involutive with respect to the Courant bracket. In particular, $L$ inherits the structure of a Lie algebroid. In this paper, we introduce the more general notion of a pseudo-Dirac structure: an arbitrary subbundle, $W\subset\mathbb{E}$, together with a ...
openaire +3 more sources
An inverse seesaw model with A4-modular symmetry
Nuclear Physics B, 2021 We discuss an inverse seesaw model based on right-handed fermion specific U(1) gauge symmetry and A4-modular symmetry. These symmetries forbid unnecessary terms and restrict structures of Yukawa interactions which are relevant to inverse seesaw mechanism.
Takaaki Nomura +2 more
doaj +1 more source
Contact manifolds and generalized complex structures
, 2004 We give simple characterizations of contact 1-forms in terms of Dirac structures. We also relate normal almost contact structures to the theory of Dirac structures.Comment: 12 pages, typos ...
Aïssa Wade +11 more
core +1 more source
On the Dirac structure of confinement [PDF]
Physical Review D, 1997 The Dirac structure of confinement is shown to be of timelike-vector nature in the heavy quark limit of QCD. This stands in contradiction with the phenomenological success of the Dirac scalar confining potential. A resolution is achieved through the demonstration that an effective scalar interaction is dynamically generated by nonperturbative mixing ...
Szczepaniak, Adam P., Swanson, Eric S.
openaire +2 more sources