Variational methods in relativistic quantum mechanics
This review is devoted to the study of stationary solutions of linear and nonlinear equations
from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as …
from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as …
Theory and applications of the sine-Gordon equation
A Barone, F Esposito, CJ Magee, AC Scott - La Rivista del Nuovo Cimento …, 1971 - Springer
In 1939 I~ RENKEL and KONTOROVA studied the propagation of a (, slip~> in an infinite
chain of elastically bound atoms lying over a fixed lower chain of similar atoms [1]. To …
chain of elastically bound atoms lying over a fixed lower chain of similar atoms [1]. To …
An infinite sequence of localized semiclassical states for nonlinear Maxwell–Dirac system
J Zhang, Y Zhang - The Journal of Geometric Analysis, 2024 - Springer
In this paper, we study the following nonlinear Maxwell–Dirac system α·(i ħ∇+ q (x) A (x)) ua
β u+ V (x) uq (x) ϕ (x) u=| u| p-2 u,-Δ ϕ= q (x)| u| 2,-Δ A k= q (x)(α ku)· u, k= 1, 2, 3, for x∈ R 3 …
β u+ V (x) uq (x) ϕ (x) u=| u| p-2 u,-Δ ϕ= q (x)| u| 2,-Δ A k= q (x)(α ku)· u, k= 1, 2, 3, for x∈ R 3 …
Maximum mass of relativistic self-gravitating Bose-Einstein condensates with repulsive or attractive self-interaction
PH Chavanis - Physical Review D, 2023 - APS
We derive an approximate analytical expression of the maximum mass of relativistic self-
gravitating Bose-Einstein condensates with repulsive or attractive| φ| 4 self-interaction. This …
gravitating Bose-Einstein condensates with repulsive or attractive| φ| 4 self-interaction. This …
Stationary states of nonlinear Dirac equations with general potentials
Y Ding, J Wei - Reviews in Mathematical Physics, 2008 - World Scientific
STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
Page 1 Reviews in Mathematical Physics Vol. 20, No. 8 (2008) 1007–1032 c World Scientific …
Page 1 Reviews in Mathematical Physics Vol. 20, No. 8 (2008) 1007–1032 c World Scientific …
Excited Dirac stars with higher azimuthal harmonic index
LX Huang, SX Sun, R Zhang, C Liang… - Journal of Cosmology …, 2024 - iopscience.iop.org
In this paper, we investigate the properties of the first excited state Dirac stars (DSs) with
higher azimuthal harmonic index (specifically, the azimuthal harmonic indexes m D= 3/2 …
higher azimuthal harmonic index (specifically, the azimuthal harmonic indexes m D= 3/2 …
Asymptotically flat, spherical, self-interacting scalar, Dirac and Proca stars
CAR Herdeiro, E Radu - Symmetry, 2020 - mdpi.com
We present a comparative analysis of the self-gravitating solitons that arise in the Einstein–
Klein–Gordon, Einstein–Dirac, and Einstein–Proca models, for the particular case of static …
Klein–Gordon, Einstein–Dirac, and Einstein–Proca models, for the particular case of static …
[PDF][PDF] Existence of localized solutions for a classical nonlinear Dirac field
T Cazenave, L Våzquez - 1986 - projecteuclid.org
_?> H ) > G - Page 1 Communications in Commun. Math. Phys. 105, 35-47 (1986) ^^PhJoieS
© Springer-Verlag 1986 Existence of Localized Solutions for a Classical Nonlinear Dirac …
© Springer-Verlag 1986 Existence of Localized Solutions for a Classical Nonlinear Dirac …
Multi-state Dirac stars
C Liang, JR Ren, SX Sun, YQ Wang - The European Physical Journal C, 2024 - Springer
In this paper, we construct the multi-state Dirac stars (MSDSs) consisting of two pairs of
Dirac fields. The two pairs of Dirac fields are in the ground state and the first excited state …
Dirac fields. The two pairs of Dirac fields are in the ground state and the first excited state …
Numerical methods for nonlinear Dirac equation
This paper presents a review of the current state-of-the-art of numerical methods for
nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+ 1) …
nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+ 1) …