Results 1 to 10 of about 14,814 (164)

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 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

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

Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law. [PDF]

Sci Rep, 2023
Ishkhanyan AM, Krainov VP.
europepmc   +3 more sources

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

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

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   +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

Relativistic dynamical inversion in manifestly covariant form

Physical Review Research, 2022
The relativistic dynamical inversion technique, a novel tool for finding analytical solutions to the Dirac equation, is written in explicitly covariant form.
Andre G. Campos, Luca Fabbri
doaj   +1 more source

Simulation for formation process of atomic orbitals by the finite difference time domain method based on the eight-element Dirac equation

Open Physics, 2023
Using the finite difference time domain (FDTD) method based on the eight-element Dirac equation, we found that a stable Dirac field wave packet with low velocity can be created without explicit consideration of Zitterbewegung (the rapid oscillatory ...
Mutoh Hideki
doaj   +1 more source