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Relativistic quantum mechanics
Abstract This chapter starts with a brief summary of special relativity, describing how 4-vectors and the Lorentz transformation can be represented by complex matrices. Spinors are introduced as basic building blocks of special relativity, allowing a demonstration of how the Weyl equation and the Dirac equation emerge from the Lorentz ...
G. Barr +3 more
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Relativistic quantum mechanics [PDF]
The steady development of the quantum theory that has taken place during the present century was made possible only by continual reference to the Correspondence Principle of Bohr, according to which, classical theory can give valuable information about quantum phenomena in spite of the essential differences in the fundamental ideas of the two theories.
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The Wigner formalism on black hole geometries
This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes.
Jose A. R. Cembranos +1 more
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On hydrogen-like bound states in N $$ \mathcal{N} $$ = 4 super Yang-Mills
Using relativistic quantum mechanics, we study the spectrum of a non-BPS two-particle bound state in the massive phase of N $$ \mathcal{N} $$ = 4 super Yang-Mills, in the limit when one of the particles is infinitely heavier than the other.
Yusuke Sakata +3 more
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What is the relativistic spin operator?
Although the spin is regarded as a fundamental property of the electron, there is no universally accepted spin operator within the framework of relativistic quantum mechanics.
Heiko Bauke +3 more
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In this homage to Einstein's 144th birthday we propose a novel quantization prescription, where the paths of a path-integral are not random, but rather solutions of a geodesic equation in a random background.
Benjamin Koch, Enrique Muñoz
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Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes.
Kang Wang +4 more
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Fisher Information and Electromagnetic Interacting Dirac Spinors
In earlier works, it was demonstrated that Schrödinger’s equation, which includes interactions with electromagnetic fields, can be derived from a fluid dynamic Lagrangian framework.
Asher Yahalom
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Classical eikonal in relativistic scattering
The classical eikonal is defined to be the generator of all scattering observables in a scattering problem in classical mechanics. It was originally introduced as the log of the quantum S-matrix in the classical limit.
Sungsoo Kim, Hojin Lee, Sangmin Lee
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Quantum corrections to tunnelling amplitudes of neutral scalar fields
Though theoretical treatments of quantum tunnelling within single-particle quantum mechanics are well-established, at present, there is no quantum field-theoretic description (QFT) of tunnelling.
Rosemary Zielinski +2 more
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