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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”
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]
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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Considerations Concerning the Little Group
I very briefly review both the historical and constructive approaches to relativistic quantum mechanics and relativistic quantum field theory, including remarks on the possibility of a non-vanishing photon mass, as well as a foolhardy speculation ...
Jens Erler
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Geometric Event-Based Quantum Mechanics
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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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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Non-inertial quantum clock frames lead to non-Hermitian dynamics
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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Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect [PDF]
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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Jüttner used the conventional theory of relativistic statistical mechanics to calculate the energy of a relativistic ideal gas in 1911. An alternative derivation of the energy of a relativistic ideal gas was published by Horwitz, Schieve and Piron in ...
John R. Fanchi
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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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