Results 11 to 20 of about 87,432 (237)
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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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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Geometric Event-Based Quantum Mechanics
New Journal of Physics, 2023 We propose a special relativistic framework for quantum mechanics. It is based on introducing a Hilbert space for events. Events are taken as primitive notions (as customary in relativity), whereas quantum systems (e.g. fields and particles) are emergent
Vittorio Giovannetti +2 more
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Results in Physics, 2020 Using a novel quasi-relativistic wave equation, which can give precise results up to energies ~mc2, exact quantum mechanical solutions are found which corresponds to a particle with mass moving through one-dimensional piecewise constant potentials.
Luis Grave de Peralta
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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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Results in Physics, 2019 To study quantum dynamics in the non-relativistic regime, the standard practice is to use non-relativistic quantum mechanics, instead of the relativistic theory, because it is thought the approximate non-relativistic result is always close to the ...
Boon Leong Lan +2 more
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Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect [PDF]
, 2008 We study the non-relativistic limit of a paradigmatic model in Relativistic Quantum Mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a novel kind of Zitterbewegung which persists in this non-relativistic regime, and leads to an ...
A. Bermudez +8 more
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Non-inertial quantum clock frames lead to non-Hermitian dynamics
Communications Physics, 2022 Relativistic theories brought the operational notion of time to the center stage of physics. Here, the authors show that effective unitary dynamics is not guaranteed if this notion is extended to quantum mechanics when relativistic corrections are ...
Ismael L. Paiva +4 more
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EPJ Web of Conferences, 2016 I discuss the role of relativistic quantum mechanics in few-body physics, various formulations of relativistic few-body quantum mechanics and how they are related.
Polyzou W. N.
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Relativistic precession of quantum elliptical states in the Coulomb potential [PDF]
, 2001 A special relativistic perturbation to non-relativistic quantum mechanics is shown to lead to the special relativistic prediction for the rate of precession for quantum states in the Coulomb potential.
Crawford, Michael G. A.
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