Results 1 to 10 of about 1,274,174 (295)

From Soft Dirac Monopoles to the Dirac Equation

Universe, 2022
In the model of topological particles we have four types of topologically stable dual Dirac monopoles with soft cores and finite mass. We discuss the steps for getting a Dirac equation for these particles.
Manfried Faber
doaj   +4 more sources

Exact solutions of Dirac equation for hydrogen atom using the linear combination of orthogonal Laguerre basis functions [PDF]

Scientific Reports
The associated Laguerre polynomials are very popular in the Schrödinger equation of nonrelativistic quantum mechanics. However, the situation is quite different in the case of the Dirac equation of relativistic quantum mechanics.
Shudong Wu
doaj   +2 more sources

Dirac Equation and Fisher Information [PDF]

Entropy
Previously, it was shown that Schrödinger’s theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli’s theory of an electron with spin, which required a Clebsch flow ...
Asher Yahalom
doaj   +2 more sources

Dirac equation for photons in a fibre: Origin of polarisation [PDF]

Heliyon
Spin is a fundamental degree of freedom, which was discovered by Dirac for an electron in his relativistic quantum mechanics, known as the Dirac equation.
Shinichi Saito
doaj   +2 more sources

Reformulation of the neutron Dirac equation & neutron proton fusion [PDF]

, 2022
In this paper the topic will be how mathematical Dirac equation representations can work out in fusion physics. The Dirac equation under study represents a neutron outside the nucleus but in an external magnetic field.
Han, Geurdes
core   +1 more source

Hydrodynamic representation and energy balance for Dirac and Weyl fermions in curved space-times

European Physical Journal C: Particles and Fields, 2022
Using a generalized Madelung transformation, we derive the hydrodynamic representation of the Dirac equation in arbitrary curved space-times coupled to an electromagnetic field. We obtain Dirac–Euler equations for fermions involving a continuity equation
Tonatiuh Matos, Omar Gallegos, Pierre-Henri Chavanis   +2 more
doaj   +1 more source

STUDY OF THE GRAVITY EFFECTS OF FERMION AND BOSON PARTICLES IN CURVED SPACETIME

Jurnal Neutrino: Jurnal Fisika dan Aplikasinya, 2023
The types of particles used in this research are Fermion particles and Boson particles. So to describe the movement of Fermion and Boson particles, the Dirac equation and Klein-Gordon equation are used.
Dian Eko Pambudi, Arista Romadani
doaj   +1 more source

CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group

Frontiers in Physics, 2021
We revisit the CPT theorem for the Dirac equation and its extended version based on the vector representation of the Lorentz group. Then it is proposed that CPTM may apply to this fundamental equation for a massive fermion a s a singlet or a doublet with
E. Marsch, Y. Narita
doaj   +1 more source

Nonlinear Dirac Equations [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance. We determine the constraints that the nonlinear term must obey and classify the resultant non-polynomial nonlinearities in a double expansion in the
Ng, W.K., Parwani, R.R.
openaire   +5 more sources

Path integral representation of the Dirac equation and integration order [PDF]

, 2022
In this paper we ask if there is an interesting twist in mathematics of the Feynman propagator of the present day [1] formalism for the Dirac equation. The case studied is with only a potential function V .
Han, Geurdes
core   +1 more source