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Dirac Equation and Fisher Information [PDF]
EntropyPreviously, 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
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Entropic Dynamics Approach to Relational Quantum Mechanics [PDF]
EntropyThe general framework of Entropic Dynamics (ED) is used to construct non-relativistic models of relational Quantum Mechanics from well-known inference principles—probability, entropy and information geometry.
Ariel Caticha, Hassaan Saleem
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Statistical predictions for the dynamics of a low-speed system: Newtonian versus special-relativistic mechanics. [PDF]
PLoS ONE, 2012 The newtonian and special-relativistic statistical predictions for the mean, standard deviation and probability density function of the position and momentum are compared for the periodically-delta-kicked particle at low speed.
Shiuan-Ni Liang, Boon Leong Lan
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Scattering Study of Fermions due to Double Dirac Delta Potential in Quaternionic Relativistic Quantum Mechanics [PDF]
Advances in High Energy Physics, 2018 We have studied the scattering problem of relativistic fermions from a quaternionic double Dirac delta potential. We have used Dirac equation in the presence of the scalar and vector potentials in the quaternionic formalism of relativistic quantum ...
Hassan Hassanabadi +2 more
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Comparison of newtonian and special-relativistic trajectories with the general-relativistic trajectory for a low-speed weak-gravity system. [PDF]
PLoS ONE, 2012 We show, contrary to expectation, that the trajectory predicted by general-relativistic mechanics for a low-speed weak-gravity system is not always well-approximated by the trajectories predicted by special-relativistic and newtonian mechanics for the ...
Shiuan-Ni Liang, Boon Leong Lan
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The Foundation of Classical Mechanics
Encyclopedia, 2021 Mechanics is the science of the equilibrium and motion of bodies subject to forces. The adjective classical, hence Classical Mechanics, was added in the 20th century to distinguish it from relativistic mechanics which studies motion with speed close to ...
Danilo Capecchi
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Scientific Reports, 2022 A localized nanoparticle insertion scheme is developed to decouple electron injection from laser evolution in laser wakefield acceleration. Here we report the experimental realization of a controllable electron injection by the nanoparticle insertion ...
Jiancai Xu +11 more
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Advances in High Energy Physics, 2021 The relativistic wave equations determine the dynamics of quantum fields in the context of quantum field theory. One of the conventional tools for dealing with the relativistic bound state problem is the Klein-Fock-Gordon equation.
A. I. Ahmadov +3 more
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Editorial for the Special Issue “Relativistic Astrophysics”
Universe, 2022 Relativistic Astrophysics is the branch of astrophysics that studies astronomical phenomena and celestial bodies, for which classical mechanics and Newton’s law of gravitation are inapplicable to creation of suitable models and we have to generalize ...
Francesco De Paolis +2 more
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On the Stochastic Origin of Quantum Mechanics [PDF]
Reports in Advances of Physical Sciences, 2017 The quantum Liouville equation, which describes the phase space dynamics of a quantum system of fermions, is analyzed from stochastic point of view as a particular example of the Kramers–Moyal expansion.
Roumen Tsekov
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