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Dimensional reduction of the Dirac theory

Journal of physics. A, Mathematical and theoretical, 2023-02, Vol.56 (6), p.65201

2023

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The relativistic tunneling flight time may be superluminal, but it does not imply superluminal signaling

New journal of physics, 2020-09, Vol.22 (9), p.93060

2020

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The Lagrange-mesh method

Physics reports, 2015-03, Vol.565, p.1-107

Baye, Daniel

2015

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Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant

Numerical methods for partial differential equations, 2023-07, Vol.39 (4), p.3375-3416

2023

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Continuous limits of linear and nonlinear quantum walks

Reviews in mathematical physics, 2020-05, Vol.32 (4), p.2050008

2020

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Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain

Journal of modern optics, 2019-09, Vol.66 (16), p.1663-1667

2019

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Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces

Journal of computational physics, 2020-06, Vol.411, p.109412, Article 109412

2020

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On fundamental solutions of higher‐order space‐fractional Dirac equations

Mathematical methods in the applied sciences, 2024-07, Vol.47 (10), p.7988-8001

Faustino, Nelson

2024

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About the Use of Entropy Production for the Landau–Fermi–Dirac Equation

Journal of statistical physics, 2021-04, Vol.183 (1), Article 10

2021

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The concentration behavior of ground state solutions for nonlinear Dirac equation

Nonlinear analysis, 2020-06, Vol.195, p.111738, Article 111738

2020

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Lorentz covariance of optical Dirac equation and spinorial photon field

New journal of physics, 2021-07, Vol.23 (7), p.73030

2021

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Effect of GUP on Hawking radiation of BTZ black hole

International journal of modern physics. A, Particles and fields, gravitation, cosmology, 2020-02, Vol.35 (5), p.2050018

2020

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Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator

Modern physics letters A, 2018-08, Vol.33 (25), p.1850146

2018

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Quantum gravity effects on tunneling of fermions across the event horizon of rotating BTZ black hole

International journal of modern physics. A, Particles and fields, gravitation, cosmology, 2022-02, Vol.37 (4)

2022

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Closed-form representations of iterated Darboux transformations for the massless Dirac equation

International journal of modern physics. A, Particles and fields, gravitation, cosmology, 2021-03, Vol.36 (8n09), p.2150064

Schulze-Halberg, Axel

2021

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Energy spectrum of massive Dirac particles in gapped graphene with Morse potential

Physica. B, Condensed matter, 2021-08, Vol.614, p.413045, Article 413045

2021

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Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation

International journal of computer mathematics, 2022-04, Vol.99 (4), p.791-807

Li, Jiyong

2022

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On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation

BIT, 2023-06, Vol.63 (2), Article 26

2023

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Gravidynamics, spinodynamics and electrodynamics within the framework of gravitational quantum field theory

Science China. Physics, mechanics & astronomy, 2023-06, Vol.66 (6), p.260411, Article 260411

Wu, Yue-Liang

2023

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The Dirac equation across the horizons of the 5D Myers–Perry geometry: separation of variables, radial asymptotic behaviour and Hamiltonian formalism

General relativity and gravitation, 2024, Vol.56 (2), p.28-28, Article 28

Wang, Qiu Shi

2024

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Solutions of Umbral Dirac-Type Equations

Mathematics (Basel), 2024-01, Vol.12 (2), p.344

2024

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Something New about Radial Wave Functions of Fermions in the Repulsive Coulomb Field

Physics of particles and nuclei, 2022-12, Vol.53 (6), p.1126-1137

2022

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On semiclassical states for Dirac equations

Zeitschrift für angewandte Mathematik und Physik, 2021-06, Vol.72 (3), Article 110

Benhassine, Abderrazek

2021

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Deformation of the Dirac equation

International journal of modern physics. D, Gravitation, astrophysics, cosmology, 2016-01, Vol.25 (1), p.1650013

2016

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Boundary Value Problems for the Perturbed Dirac Equation

Axioms, 2024-04, Vol.13 (4), p.238

2024

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Dimensional reduction of the Dirac theory

The relativistic tunneling flight time may be superluminal, but it does not imply superluminal signaling

The Lagrange-mesh method

Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant

Continuous limits of linear and nonlinear quantum walks

Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain

Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces

On fundamental solutions of higher‐order space‐fractional Dirac equations

About the Use of Entropy Production for the Landau–Fermi–Dirac Equation

The concentration behavior of ground state solutions for nonlinear Dirac equation

Lorentz covariance of optical Dirac equation and spinorial photon field

Effect of GUP on Hawking radiation of BTZ black hole

Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator

Quantum gravity effects on tunneling of fermions across the event horizon of rotating BTZ black hole

Closed-form representations of iterated Darboux transformations for the massless Dirac equation

Energy spectrum of massive Dirac particles in gapped graphene with Morse potential

Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation

On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation

Gravidynamics, spinodynamics and electrodynamics within the framework of gravitational quantum field theory

The Dirac equation across the horizons of the 5D Myers–Perry geometry: separation of variables, radial asymptotic behaviour and Hamiltonian formalism

Solutions of Umbral Dirac-Type Equations

Something New about Radial Wave Functions of Fermions in the Repulsive Coulomb Field

On semiclassical states for Dirac equations

Deformation of the Dirac equation

Boundary Value Problems for the Perturbed Dirac Equation

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