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Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
Mathematics, 2021 A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals,
Bao D. Tran, Zdzislaw E. Musielak
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Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 [PDF]
Bulletin of Mathematical Sciences, 2019 We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics and some of the research that was motivated by this. Topics in this second part include the absence of embedded eigenvalues, trace class scattering, Kato smoothness,
Barry Simon
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Sedeonic relativistic quantum mechanics
, 2009 We represent sixteen-component values "sedeons", generating associative noncommutative space-time algebra. We demonstrate a generalization of relativistic quantum mechanics using sedeonic wave functions and sedeonic space-time operators. It is shown that
Adler S. L. +6 more
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Relativistic correction on bottomia within the gaussian basis function method
Journal of Nigerian Society of Physical SciencesIn this theoretical research to describe the latest experimental results from the Large Hadron Collider, Belle II, and heavy-ion collisions obtained in high-energy hadronic physics, we include relativistic corrections to improve predictions of the mass ...
prof. Arezu Jahanshir, Jalil Naji
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Dirac Cat States in Relativistic Landau Levels
, 2007 We show that a relativistic version of Schrodinger cat states, here called Dirac cat states, can be built in relativistic Landau levels when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions,
A. Bermudez +11 more
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SO(4) symmetry in hydrogen-atom-like model with spin
Results in PhysicsAs the simplest atom in nature, the hydrogen atom has been explored thoroughly from the perspective of non-relativistic quantum mechanics to relativistic quantum mechanics.
Xing-Yan Fan +3 more
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Introduction to the Quantum Theory of Elementary Cycles: The Emergence of Space, Time and Quantum
, 2016 Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic physics. Here we introduce its basic quantum aspects.
Dolce, Donatello
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Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
Revista Brasileira de Ensino de FísicaIn this article we present a detailed description, using ladder operators, of an electron in a uniform magnetic field evolving under the Schrödinger equation.
David Velasco Villamizar +1 more
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Dirac Equation in the Presence of Hartmann and Ring-Shaped Oscillator Potentials
Advances in High Energy Physics, 2018 The importance of the energy spectrum of bound states and their restrictions in quantum mechanics due to the different methods have been used for calculating and determining the limit of them.
Zahra Bakhshi
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On the Absence of the Zeno Effect in Relativistic Quantum Field Theory
, 1999 We study the time evolution of decaying particles in renormalizable models of Relativistic Quantum Field Theory. Significant differences between the latter and Non Relativistic Quantum Mechanics are found -in particular, the Zeno effect seems to be ...
Alvarez-Estrada +12 more
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