Results 21 to 30 of about 252,932 (279)
Characterization of the non-homogenous Dirac-harmonic equation
Journal of Inequalities and Applications, 2021 We introduce the non-homogeneous Dirac-harmonic equation for differential forms and characterize the basic properties of solutions to this new type of differential equations, including the norm estimates and the convergency of sequences of the solutions.
Guannan Shi, Shusen Ding, Bing Liu
doaj +1 more source
, 2009 By using two-component approach to the one-dimensional effective mass Dirac equation bound states are investigated under the effect of two new non-PT-symmetric, and non-Hermitian, exponential type potentials. It is observed that the Dirac equation can be
Arda, Altug, Sever, Ramazan
core +1 more source
Testing the Dirac Equation [PDF]
, 2007 The dynamical equations which are basic for the description of the dynamics of quantum felds in arbitrary space--time geometries, can be derived from the requirements of a unique deterministic evolution of the quantum fields, the superposition principle, a finite propagation speed, and probability conservation.
Lämmerzahl, Claus, Bordé, Christian J.
openaire +2 more sources
Splitting the Dirac equation: the case of longitudinal potentials
, 2012 Recently, we have demonstrated that some subsolutions of the free Duffin-Kemmer-Petiau and the Dirac equations obey the same Dirac equation with some built-in projection operators. In the present paper we study the Dirac equation in the interacting case.
Andrzej Okniński +17 more
core +2 more sources
The gravitational analogue to the hydrogen atom (A summer study at the borders of quantum mechanics and general relativity) [PDF]
, 2007 This article reports on a student summer project performed in 2006 at the University of Frankfurt. It is addressed to undergraduate students familiar with the basic principles of relativistic quantum mechanics and general relativity.
Ben Koch +16 more
core +2 more sources
Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints [PDF]
, 2012 We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians as well as holonomic and nonholonomic constraints.
Abraham R. +18 more
core +1 more source
Construction of Dirac spinors for electron vortex beams in background electromagnetic fields
Physical Review Research, 2021 Exact solutions of the Dirac equation, a system of four partial differential equations, are rare. The vast majority of them are for highly symmetric stationary systems. Moreover, only a handful of solutions for time dependent dynamics exists.
Andre G. Campos +2 more
doaj +1 more source
Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations
, 2010 We study subsolutions of the Dirac and Duffin-Kemmer-Petiau equations described in our earlier papers. It is shown that subsolutions of the Duffin-Kemmer-Petiau equations and those of the Dirac equation obey the same Dirac equation with some built-in ...
Okninski, Andrzej
core +1 more source
On spectral stability of solitary waves of nonlinear Dirac equation on a line [PDF]
, 2012 We study the spectral stability of solitary wave solutions to the nonlinear Dirac equation in one dimension. We focus on the Dirac equation with cubic nonlinearity, known as the Soler model in (1+1) dimensions and also as the massive Gross-Neveu model ...
A. Comech +22 more
core +3 more sources
Some extensions of the Einstein-Dirac equation
, 2006 We considered an extension of the standard functional for the Einstein-Dirac equation where the Dirac operator is replaced by the square of the Dirac operator and a real parameter controlling the length of spinors is introduced.
Baum +8 more
core +2 more sources