About non-relativistic quantum mechanics and electromagnetism
- URL: http://arxiv.org/abs/2207.14390v1
- Date: Wed, 27 Jul 2022 05:05:27 GMT
- Title: About non-relativistic quantum mechanics and electromagnetism
- Authors: Ladislaus Alexander B\'anyai and Mircea Bundaru
- Abstract summary: We use the mathematical frame of the field theory and its quantization in the spirit of the quantum-mechanical many-body theory.
We show some examples of the importance of this extension of the many-body theory.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We describe here the coherent formulation of electromagnetism in the
non-relativistic quantum-mechanical many-body theory of interacting charged
particles. We use the mathematical frame of the field theory and its
quantization in the spirit of the QED. This is necessary because a manifold of
misinterpretations emerged especially regarding the magnetic field and gauge
invariance. The situation was determined by the historical development of
quantum mechanics, starting from the Schr\"odinger equation of a single
particle in the presence of given electromagnetic fields, followed by the
many-body theories of many charged identical particles having just Coulomb
interactions. Our approach to the non-relativistic QED emphasizes the role of
the gauge-invariance and of the external fields. We develop further the $1/c^2$
approximation of this theory allowing a closed description of the interacting
charged particles without photons. The resulting Hamiltonian coincides with the
quantized version of the Darwin Hamiltonian containing besides the Coulomb also
a current-current diamagnetic interaction. We show on some examples the
importance of this extension of the many-body theory.
Related papers
- On free fall of fermions and antifermions [0.0]
We propose a model describing spin-half quantum particles in curved spacetime.
We find that spin precesses in a normal Fermi frame, even in the absence of torsion.
We also find that (elementary) fermions and antifermions are indistinguishable in gravity.
arXiv Detail & Related papers (2022-10-13T15:35:36Z) - Complementarity and causal propagation of decoherence by measurement in
relativistic quantum field theories [0.0]
We show that decoherence due to the presence of a detector propagates with the speed of light in terms of a retarded Green's function.
The quantum nature of fields, such as quantum fluctuations or emission of gravitons expressed in terms of the Keldysh Green's function also play important roles in the mechanism of decoherence due to on-shell particle creation.
arXiv Detail & Related papers (2022-05-17T14:37:43Z) - Dispersive readout of molecular spin qudits [68.8204255655161]
We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states.
We derive an expression for the output modes in the dispersive regime of operation.
We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
arXiv Detail & Related papers (2021-09-29T18:00:09Z) - Molecular Interactions Induced by a Static Electric Field in Quantum
Mechanics and Quantum Electrodynamics [68.98428372162448]
We study the interaction between two neutral atoms or molecules subject to a uniform static electric field.
Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
arXiv Detail & Related papers (2021-03-30T14:45:30Z) - Evolution of a Non-Hermitian Quantum Single-Molecule Junction at
Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments.
We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z) - General quantum-mechanical solution for twisted electrons in a uniform
magnetic field [68.8204255655161]
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed.
The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
arXiv Detail & Related papers (2020-05-13T16:35:10Z) - Semi-relativistic $N$-body quantum mechanics of electrons and photons,
with fixed nuclei [0.0]
It is argued that by the end of the 1920s a quantum-mechanical model could have been in place.
This model suggests a re-interpretation of Maxwell's electromagnetic field equations on spacetime.
arXiv Detail & Related papers (2020-02-24T21:33:59Z) - Relativistic Quantum Mechanics of the Majorana Particle [0.0]
This article is a pedagogical introduction to relativistic quantum mechanics of the free Majorana particle.
In the case of massless Majorana particle the quantum mechanics can be reformulated as a spinorial gauge theory.
arXiv Detail & Related papers (2020-02-18T10:44:37Z) - Quantum decoherence by Coulomb interaction [58.720142291102135]
We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface.
The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
arXiv Detail & Related papers (2020-01-17T04:11:44Z) - External and internal wave functions: de Broglie's double-solution
theory? [77.34726150561087]
We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory.
The principle is to decompose the evolution of a quantum system into two wave functions.
For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
arXiv Detail & Related papers (2020-01-13T13:41:24Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.