Reviews in Mathematical Physics, ISSN 0129-055X, 05/2020, Volume 32, Issue 4, p. 2050008

In this paper, we consider the continuous limit of a nonlinear quantum walk (NLQW) that incorporates a linear quantum walk as a special case. In particular, we...

continuous limit | Quantum walks | nonlinear Dirac equations | FIELD | LIGHT | splitting method | Dirac equations | PHYSICS, MATHEMATICAL | nonlinear quantum walks | LATTICE | DIRAC

continuous limit | Quantum walks | nonlinear Dirac equations | FIELD | LIGHT | splitting method | Dirac equations | PHYSICS, MATHEMATICAL | nonlinear quantum walks | LATTICE | DIRAC

Journal Article

Communications in Partial Differential Equations, ISSN 0360-5302, 08/2017, Volume 42, Issue 8, pp. 1175 - 1198

The global wellposedness in L p (ℝ) for the Chern-Simons-Dirac equation in the 1+1 space and time dimension is discussed. We consider two types of quadratic...

Chern-Simons-Dirac equation | mass concentration phenomena | global wellposedness | Chern–Simons–Dirac equation | Nonlinearity | Confectionery | Dirac equation

Chern-Simons-Dirac equation | mass concentration phenomena | global wellposedness | Chern–Simons–Dirac equation | Nonlinearity | Confectionery | Dirac equation

Journal Article

Journal of Modern Optics, ISSN 0950-0340, 09/2019, Volume 66, Issue 16, pp. 1663 - 1667

Starting from an engineered periodic optical structure formed by waveguide arrays comprised of two interleaved lattices, we simulate a deformed Dirac equation....

deformed Dirac equation | Photonic waveguides | Zitterbewegung | graphene | Optical lattices | Deformation | Graphene | Dirac equation | Photonics

deformed Dirac equation | Photonic waveguides | Zitterbewegung | graphene | Optical lattices | Deformation | Graphene | Dirac equation | Photonics

Journal Article

Physics reports, ISSN 0370-1573, 2005, Volume 414, Issue 4-5, pp. 165 - 261

Relativistic symmetries of the Dirac Hamiltonian had been discovered many years ago but only recently have these symmetries been recognized empirically in...

Dirac equation | Pseudospin | Symmetry | Nuclear and hadron spectroscopy | MESONS | PHYSICS, MULTIDISCIPLINARY | pseudospin | HEAVY DEFORMED-NUCLEI | GENERALIZED SENIORITY | DIRAC-EQUATION | nuclear and hadron spectroscopy | HARTREE-FOCK MODELS | SUPERDEFORMED BANDS | symmetry | QUANTIZED ALIGNMENT | PSEUDO-SPIN CONCEPT | MAGNETIC-PROPERTIES | SCATTERING

Dirac equation | Pseudospin | Symmetry | Nuclear and hadron spectroscopy | MESONS | PHYSICS, MULTIDISCIPLINARY | pseudospin | HEAVY DEFORMED-NUCLEI | GENERALIZED SENIORITY | DIRAC-EQUATION | nuclear and hadron spectroscopy | HARTREE-FOCK MODELS | SUPERDEFORMED BANDS | symmetry | QUANTIZED ALIGNMENT | PSEUDO-SPIN CONCEPT | MAGNETIC-PROPERTIES | SCATTERING

Journal Article

Annals of Physics, ISSN 0003-4916, 04/2015, Volume 355, pp. 35 - 47

The entanglement between SU(2)⊗SU(2) internal degrees of freedom of parity and helicity for reflected and transmitted waves of Dirac-like particles scattered...

Entanglement | Step potential | Dirac equation

Entanglement | Step potential | Dirac equation

Journal Article

Nature physics, ISSN 1745-2481, 2015, Volume 11, Issue 9, pp. 724 - 727

In 1929, H. Weyl proposed that the massless solution of the Dirac equation represents a pair of a new type of particles, the so-called Weyl fermions1. However,...

PHYSICS, MULTIDISCIPLINARY | PROOF | FERMION SEMIMETAL | ABSENCE | NEUTRINOS | POINTS | LATTICE | ARCS | Particle physics | Bands | Fermions | Fermi surfaces | Condensed matter | Dirac equation | Insulators | Topology | Three dimensional

PHYSICS, MULTIDISCIPLINARY | PROOF | FERMION SEMIMETAL | ABSENCE | NEUTRINOS | POINTS | LATTICE | ARCS | Particle physics | Bands | Fermions | Fermi surfaces | Condensed matter | Dirac equation | Insulators | Topology | Three dimensional

Journal Article

International journal of modern physics. D, Gravitation, astrophysics, cosmology, ISSN 1793-6594, 2017, Volume 26, Issue 8, p. 1750086

We discuss the Dirac equation in a curved 5-dimensional spherically symmetric spacetime. The angular part of the solutions is thoroughly studied, in a...

Journal Article

Molecular physics, ISSN 1362-3028, 2010, Volume 108, Issue 13, pp. 1679 - 1706

The basic ideas of relativistic quantum chemistry are highlighted, with the most important ingredients summarised as follows. (1) The restricted kinetic...

kinetic balance | relativistic quantum chemistry | exact two-component Hamiltonian | from atoms to molecule | matrix transformation | MOLECULAR CALCULATIONS | DIRAC-EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PROGRAM PACKAGE | CHEMISTRY, PHYSICAL | KROLL-HESS THEORY | EXCITED-STATES | PERTURBATION-THEORY | DENSITY-FUNCTIONAL METHOD | NONRELATIVISTIC METHODS | ONE-ELECTRON | Molecular physics | Quantum chemistry | Mathematical analysis | Dirac equation | Relativistic theory | Mathematical models | Schroedinger equation | Computational efficiency

kinetic balance | relativistic quantum chemistry | exact two-component Hamiltonian | from atoms to molecule | matrix transformation | MOLECULAR CALCULATIONS | DIRAC-EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PROGRAM PACKAGE | CHEMISTRY, PHYSICAL | KROLL-HESS THEORY | EXCITED-STATES | PERTURBATION-THEORY | DENSITY-FUNCTIONAL METHOD | NONRELATIVISTIC METHODS | ONE-ELECTRON | Molecular physics | Quantum chemistry | Mathematical analysis | Dirac equation | Relativistic theory | Mathematical models | Schroedinger equation | Computational efficiency

Journal Article

Physical review letters, ISSN 1079-7114, 2017, Volume 118, Issue 4, p. 040401

We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different...

INSULATORS | STATES | SOLITONS | PHYSICS, MULTIDISCIPLINARY | EXCEPTIONAL POINTS | MAGNETIC-FIELD | PHYSICS | SUPERCONDUCTORS | Couplings | Asymmetry | Dirac equation | Media | Spectra | Topology | Rings (mathematics) | Gain-Loss

INSULATORS | STATES | SOLITONS | PHYSICS, MULTIDISCIPLINARY | EXCEPTIONAL POINTS | MAGNETIC-FIELD | PHYSICS | SUPERCONDUCTORS | Couplings | Asymmetry | Dirac equation | Media | Spectra | Topology | Rings (mathematics) | Gain-Loss

Journal Article

Reports on Mathematical Physics, ISSN 0034-4877, 08/2019, Volume 84, Issue 1, pp. 61 - 68

The self-force of a point charge moving on a rectilinear trajectory is obtained, with no need of any explicit removal of infinities, as the negative of the...

delta function | self-force | Lorentz–Abraham–Dirac equation | Lorentz-Abraham-Dirac equation | PHYSICS, MATHEMATICAL

delta function | self-force | Lorentz–Abraham–Dirac equation | Lorentz-Abraham-Dirac equation | PHYSICS, MATHEMATICAL

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 09/2017, Volume 32, Issue 27, p. 1750147

We take the viewpoint that the physically acceptable solutions of the Lorentz–Dirac equation for radiation back-reaction are actually determined by a...

Electromagnetic radiation | back-reaction | Lorentz-Dirac equation | LORENTZ-DIRAC EQUATION | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | Lorentz Dirac equation | PHYSICS, PARTICLES & FIELDS | Electromagnetic waves | Electric waves

Electromagnetic radiation | back-reaction | Lorentz-Dirac equation | LORENTZ-DIRAC EQUATION | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | Lorentz Dirac equation | PHYSICS, PARTICLES & FIELDS | Electromagnetic waves | Electric waves

Journal Article

The Journal of chemical physics, ISSN 1089-7690, 2009, Volume 131, Issue 3, pp. 031104 - 031104-4

Two routes for deriving the exact two-component Hamiltonians are compared. In the first case, as already known, we start directly from the matrix...

relativistic quantum mechanics | Schrodinger equation | NONRELATIVISTIC METHODS | DIRAC-EQUATION | Dirac equation | RELATIVISTIC THEORY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | mathematical operators | ONE-ELECTRON | matrix algebra | DIFFERENTIAL EQUATIONS | SCHROEDINGER EQUATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | MATHEMATICAL OPERATORS | EQUATIONS | FIELD EQUATIONS | DIRAC EQUATION | DIRAC OPERATORS | QUANTUM MECHANICS | FOLDY-WOUTHUYSEN TRANSFORM | SCHROEDINGER PICTURE | MATHEMATICS | CANONICAL TRANSFORMATIONS | MECHANICS | WAVE EQUATIONS | PARTIAL DIFFERENTIAL EQUATIONS | MATRICES | QUANTUM OPERATORS | HAMILTONIANS | TRANSFORMATIONS

relativistic quantum mechanics | Schrodinger equation | NONRELATIVISTIC METHODS | DIRAC-EQUATION | Dirac equation | RELATIVISTIC THEORY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | mathematical operators | ONE-ELECTRON | matrix algebra | DIFFERENTIAL EQUATIONS | SCHROEDINGER EQUATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | MATHEMATICAL OPERATORS | EQUATIONS | FIELD EQUATIONS | DIRAC EQUATION | DIRAC OPERATORS | QUANTUM MECHANICS | FOLDY-WOUTHUYSEN TRANSFORM | SCHROEDINGER PICTURE | MATHEMATICS | CANONICAL TRANSFORMATIONS | MECHANICS | WAVE EQUATIONS | PARTIAL DIFFERENTIAL EQUATIONS | MATRICES | QUANTUM OPERATORS | HAMILTONIANS | TRANSFORMATIONS

Journal Article

Nature (London), ISSN 1476-4687, 2010, Volume 463, Issue 7277, pp. 68 - 71

The Dirac equation(1) successfully merges quantum mechanics with special relativity. It provides a natural description of the electron spin, predicts the...

GRAPHENE | MULTIDISCIPLINARY SCIENCES | Models | Research | Simulation methods | Methods | Quantum theory | Dirac equation

GRAPHENE | MULTIDISCIPLINARY SCIENCES | Models | Research | Simulation methods | Methods | Quantum theory | Dirac equation

Journal Article

Annals of physics, ISSN 0003-4916, 2016, Volume 364, pp. 182 - 199

A generalized description of entanglement and quantum correlation properties constraining internal degrees of freedom of Dirac(-like) structures driven by...

Poincaré | Entanglement | Quantum correlations | Dirac equation

Poincaré | Entanglement | Quantum correlations | Dirac equation

Journal Article

Physical review letters, ISSN 1079-7114, 2010, Volume 105, Issue 1, p. 013903

Light propagation in distributed-feedback optical structures with gain or loss regions is shown to provide an accessible laboratory tool to visualize in optics...

SOLITONS | PHYSICS, MULTIDISCIPLINARY | DIRAC-EQUATION | PHYSICAL REALIZATION | FERMIONS | REAL SPECTRA | HAMILTONIANS | PT-SYMMETRIC POTENTIALS | POSITION-DEPENDENT MASS | SCATTERING | Physics - Quantum Physics | MATHEMATICAL OPERATORS | ENERGY RANGE | EQUATIONS | FIELD EQUATIONS | ONE-DIMENSIONAL CALCULATIONS | RELATIVISTIC RANGE | MECHANICS | WAVE EQUATIONS | RESONANCE | SYMMETRY BREAKING | QUANTUM OPERATORS | SINGULARITY | RADIATIONS | LASER RADIATION | DIFFERENTIAL EQUATIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | LIGHT TRANSMISSION | DIRAC EQUATION | INTERACTIONS | QUANTUM MECHANICS | TRANSMISSION | PARTIAL DIFFERENTIAL EQUATIONS | ELECTROMAGNETIC RADIATION | OSCILLATIONS | FEEDBACK

SOLITONS | PHYSICS, MULTIDISCIPLINARY | DIRAC-EQUATION | PHYSICAL REALIZATION | FERMIONS | REAL SPECTRA | HAMILTONIANS | PT-SYMMETRIC POTENTIALS | POSITION-DEPENDENT MASS | SCATTERING | Physics - Quantum Physics | MATHEMATICAL OPERATORS | ENERGY RANGE | EQUATIONS | FIELD EQUATIONS | ONE-DIMENSIONAL CALCULATIONS | RELATIVISTIC RANGE | MECHANICS | WAVE EQUATIONS | RESONANCE | SYMMETRY BREAKING | QUANTUM OPERATORS | SINGULARITY | RADIATIONS | LASER RADIATION | DIFFERENTIAL EQUATIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | LIGHT TRANSMISSION | DIRAC EQUATION | INTERACTIONS | QUANTUM MECHANICS | TRANSMISSION | PARTIAL DIFFERENTIAL EQUATIONS | ELECTROMAGNETIC RADIATION | OSCILLATIONS | FEEDBACK

Journal Article

Science (American Association for the Advancement of Science), ISSN 1095-9203, 2015, Volume 349, Issue 6248, pp. 622 - 624

The massless solutions to the Dirac equation are described by the so-called Weyl Hamiltonian. The Weyl equation requires a particle to have linear dispersion...

TRANSITION | SEMIMETALS | STATES | MULTIDISCIPLINARY SCIENCES | BAND-STRUCTURE | 3-DIMENSIONAL PHOTONIC CRYSTALS | SURFACE FERMI ARCS | Measurement | Analysis | Dirac equation | Microwave communications | Particle physics | Metalloids | Fermions | Mathematical analysis | Photonic crystals | Dispersions | Topology | Conduction band | Three dimensional | synthesis (novel materials) | synthesis (self-assembly) | materials and chemistry by design | solar (photovoltaic) | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | synthesis (scalable processing) | SOLAR ENERGY | optics | mechanical behavior | charge transport | solar (thermal) | thermoelectric | spin dynamics | defects | solid state lighting | phonons | thermal conductivity

TRANSITION | SEMIMETALS | STATES | MULTIDISCIPLINARY SCIENCES | BAND-STRUCTURE | 3-DIMENSIONAL PHOTONIC CRYSTALS | SURFACE FERMI ARCS | Measurement | Analysis | Dirac equation | Microwave communications | Particle physics | Metalloids | Fermions | Mathematical analysis | Photonic crystals | Dispersions | Topology | Conduction band | Three dimensional | synthesis (novel materials) | synthesis (self-assembly) | materials and chemistry by design | solar (photovoltaic) | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | synthesis (scalable processing) | SOLAR ENERGY | optics | mechanical behavior | charge transport | solar (thermal) | thermoelectric | spin dynamics | defects | solid state lighting | phonons | thermal conductivity

Journal Article