Results 71 to 80 of about 82,407 (180)

Bright and dark solitons in a photonic nonlinear quantum walk: lessons from the continuum

New Journal of Physics
We propose a nonlinear quantum walk model inspired in a photonic implementation in which the polarization state of the light field plays the role of the coin-qubit. In particular, we take profit of the nonlinear polarization rotation occurring in optical
Andreu Anglés-Castillo, Armando Pérez, Eugenio Roldán   +2 more
doaj   +1 more source

Relativistic linear stability equations for the nonlinear Dirac equation in Bose-Einstein condensates

, 2011
We present relativistic linear stability equations (RLSE) for quasi-relativistic cold atoms in a honeycomb optical lattice. These equations are derived from first principles and provide a method for computing stabilities of arbitrary localized solutions ...
Becker C., Hartnoll S. A., Jelley J. V., L. D. Carr, L. H. Haddad, Lim L.-K., Pitaevskii L. P.   +6 more
core   +1 more source

The incompleteness of the Schroedinger equation

Ratio Mathematica
The Schrodinger equation with the nonlinear term is derived in the framework of the Dirac heuristics. The particle behaves classically in case its mass is infinite.
Miroslav Pardy
doaj   +1 more source

The nonlinear dirac equation in Bose–Einstein condensates: vortex solutions and spectra in a weak harmonic trap

New Journal of Physics, 2015
We analyze the vortex solution space of the $(2+1)$ -dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice spacing. Dirac point relativistic covariance combined with s-wave scattering
L H Haddad, Lincoln D Carr
doaj   +1 more source

Geometrical contribution to neutrino mass matrix

European Physical Journal C: Particles and Fields, 2019
The dynamics of fermions on curved spacetime requires a spin connection, which contains a part called contorsion, an auxiliary field without dynamics but fully expressible in terms of the axial current density of fermions. Its effect is the appearance of
Subhasish Chakrabarty, Amitabha Lahiri
doaj   +1 more source

EXACT LOCALIZED SOLUTION OF THE NONLINEAR DIRAC EQUATION

, 2023
MAJOR ADVISOR: Dr. A. K. MISHRA ABSTRACT The nonlinear Dirac equation is a relativistic classical field theory that describes the behavior of a system of self-interacting spinor fields. According to this theory, the interactions among spinor fields are represented by additional Kerr-nonlinearity added to the Dirac equation, which justifies and models
openaire   +3 more sources

The nonlinear Dirac equation in Bose–Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices

New Journal of Physics, 2015
We present a thorough analysis of soliton solutions to the quasi-one-dimensional (quasi-1D) nonlinear Dirac equation (NLDE) for a Bose–Einstein condensate in a honeycomb lattice with armchair geometry.
L H Haddad, C M Weaver, Lincoln D Carr
doaj   +1 more source

The electromagnetic field’s quantum nature and spin

AIP Advances
The interaction of the electron (charge) with the electromagnetic field is investigated using the minimum coupling prescription, in which the electron’s spin appears in the Dirac and Pauli–Schrödinger equations.
A. I. Arbab
doaj   +1 more source

Nonlinear conformal-degree preserving Dirac equations

, 2012
Nonlinear Dirac equations in D+1 space-time are obtained by variation of the spinor action whose Lagrangian components have the same conformal degree and the coupling parameter of the self-interaction term is dimensionless. In 1+1 dimension, we show that these requirements result in the "conventional" quartic form of the nonlinear interaction and ...
openaire   +2 more sources

Weakly localized states for nonlinear Dirac equations [PDF]

Calculus of Variations and Partial Differential Equations, 2018
We prove the existence of infinitely many non square-integrable stationary solutions for a family of massless Dirac equations in 2D. They appear as effective equations in two dimensional honeycomb structures. We give a direct existence proof thanks to a particular radial ansatz, which also allows to provide the exact asymptotic behavior of spinor ...
openaire   +3 more sources