Time in Quantum Mechanics and the Local Non-Conservation of the Probability Current
In relativistic quantum field theory with local interactions, charge is locally conserved. This implies local conservation of probability for the Dirac and Klein–Gordon wavefunctions, as special cases; and in turn for non-relativistic quantum field
Giovanni Modanese
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Geometry, stochastic calculus and quantum fields in a non-commutative space-time
The algebras of non-relativistic and of classical mechanics are unstable algebraic structures. Their deformation towards stable structures leads, respectively, to relativity and to quantum mechanics.
Accardi L. +16 more
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Recurrence relation for relativistic atomic matrix elements
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired on the relativistic extension of the second hypervirial method that has been succesfully ...
A L Salas-Brito +16 more
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A New Space-Time Theory Unravels the Origins of Classical Mechanics for the Dirac Equation
The Feynman path integral plays a central role in quantum mechanics, linking classical action to propagators and relating quantum electrodynamics (QED) to Feynman diagrams.
Wei Wen
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Unification of Relativistic and Quantum Mechanics from Elementary Cycles Theory
In Elementary Cycles theory elementary quantum particles are consistently described as the manifestation of ultra-fast relativistic spacetime cyclic dynamics, classical in the essence.
Dolce, Donatello
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Quantum Reference Frames for Lorentz Symmetry [PDF]
Since their first introduction, Quantum Reference Frame (QRF) transformations have been extensively discussed, generalising the covariance of physical laws to the quantum domain.
Luca Apadula +2 more
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A project to measure quantum spin correlations of relativistic electron pairs in Møller scattering
A project to measure quantum spin correlations for relativistic particles with mass is presented. It aims at testing spin observables in relativistic quantum mechanics.
Ciborowski Jacek +7 more
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P.A.M. Dirac and the Discovery of Quantum Mechanics
Dirac's contributions to the discovery of non-relativistic quantum mechanics and quantum electrodynamics, prior to his discovery of the relativistic wave equation, are ...
Dalitz R. H. +11 more
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Observation of interaction-induced phenomena of relativistic quantum mechanics
Relativistic quantum mechanics is typically used to describe phenomena of high-energy physics but can also be applied to describe some features of quantum materials.
Weixuan Zhang +7 more
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Three different approaches to the same interaction: the Yukawa model in nuclear physics
After a brief discussion of the meaning of the potential in quantum mechanics, we examine the results of the Yukawa model (scalar meson exchange) for the nucleon-nucleon interaction in three different dynamical frameworks: the non-relativistic dynamics ...
Carbonell, J. +2 more
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