New algebras of symmetries of the Dirac equation are presented, which are formed by linear and antilinear first–order differential operators. These symmetries are applied to decouple the Dirac equation for a charged particle interacting with an external field. I
ABSTRACT: Presymplectic dynamics, as it arises from the Lagrangian and Hamiltonian dynamics of non-...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
The authors give a detailed information about symmetry (Lie, non-Lie, conditional) of nonlinear PDEs...
We obtain and analyze equations determining first-order differential symmetry operators with matrix ...
Recently the name Dirac oscillator was given to a Dirac equation in which both the momenta and the c...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
Integration of the Dirac equation with an external electromagnetic field is explored in the framewor...
We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other ...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
Given any algebra over a field with a finite number of generators, we define a first order partial d...
Abstract — The Dirac algebra is examined as a hypercomplex number sys-tem, where there are six basic...
Given any algebra over a field with a finite number of generators, we define a first order partial d...
We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mas...
ABSTRACT: Presymplectic dynamics, as it arises from the Lagrangian and Hamiltonian dynamics of non-...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
The authors give a detailed information about symmetry (Lie, non-Lie, conditional) of nonlinear PDEs...
We obtain and analyze equations determining first-order differential symmetry operators with matrix ...
Recently the name Dirac oscillator was given to a Dirac equation in which both the momenta and the c...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
Integration of the Dirac equation with an external electromagnetic field is explored in the framewor...
We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other ...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
The set of all matrix-valued first-order differential operators that commute with the Dirac equation...
Given any algebra over a field with a finite number of generators, we define a first order partial d...
Abstract — The Dirac algebra is examined as a hypercomplex number sys-tem, where there are six basic...
Given any algebra over a field with a finite number of generators, we define a first order partial d...
We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mas...
ABSTRACT: Presymplectic dynamics, as it arises from the Lagrangian and Hamiltonian dynamics of non-...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
13 pages, accepted for publication in Electromagnetic Phenomena, Special issue dedicated to the 75th...
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