Results 71 to 80 of about 3,094 (216)
Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems [PDF]
Communications in Mathematical Physics, 2019 Abstract We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Low‐dimensional materials (0D, 1D, and 2D) exhibit unique electronic and physicochemical properties, enabling advanced nanoelectronic and optoelectronic devices. Mixed‐dimensional heterostructures combine these materials to enhance functionality.
Qaisar Alam +3 more
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The incompleteness of the Schroedinger equation
Ratio MathematicaThe 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
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Ferroelectricity and Ferroionic Dynamics in Two‐Dimensional CuInP2S6
Information &Functional Materials, EarlyView.The coupled dynamics of ferroelectric polarization and Cu‐ion migration endow CuInP2S6 with unique ferroionic functionalities. This review connects structure, switching mechanisms, and device applications to provide a unified perspective on two‐dimensional ferroionic materials.
Shangsheng Li +7 more
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Bright and dark solitons in a photonic nonlinear quantum walk: lessons from the continuum
New Journal of PhysicsWe 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 +2 more
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Speed-of-light pulses in a massless nonlinear Dirac equation
Physical Review E, 2019 In this work, we explore a massless nonlinear Dirac equation, i.e., a nonlinear Weyl equation. We study the dynamics of its pulse solutions and find that a localized one-hump initial condition splits into a localized two-hump pulse, while an associated phase structure emerges in suitable components of the spinor field. For times larger than a transient
Jesús Cuevas-Maraver +3 more
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Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
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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
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Emergence of Rashba Spin‐Orbit Coupling in Staggered‐Gyromagnetic Photonic Crystals
Laser &Photonics Reviews, EarlyView.Rashba spin‐orbit coupling emerges in a staggered‐gyromagnetic photonic crystal under a uniform out‐of‐plane magnetic bias. The staggered magnetization splits a four‐fold Dirac point into a Rashba band structure carrying helical spin textures, verified by a four‐band k‐p model.
Yao‐Ting Wang, Wenlong Gao
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Mathematical Methods in the Applied Sciences, EarlyView.We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
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