A Fisher Information Perspective of Relativistic Quantum Mechanics

• URL: http://arxiv.org/abs/2311.00001v1
• Date: Tue, 1 Aug 2023 08:36:30 GMT
• Title: A Fisher Information Perspective of Relativistic Quantum Mechanics
• Authors: Asher Yahalom
• Abstract summary: We show how Schrodinger's equation can be deduced from a fluid dynamical Lagrangian of a charged potential flow. The quantum behaviour was derived from Fisher information terms which were added to the classical Lagrangian.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In previous papers we have shown how Schrodinger's equation which includes an electromagnetic field interaction can be deduced from a fluid dynamical Lagrangian of a charged potential flow that interacts with an electromagnetic field. The quantum behaviour was derived from Fisher information terms which were added to the classical Lagrangian. It was thus shown that a quantum mechanical system is drived by information and not only electromagnetic fields. This program was applied also to Pauli's equations by removing the restriction of potential flow and using the Clebsch formalism. Although the analysis was quite successful there were still terms that did not admit interpretation, some of them can be easily traced to the relativistic Dirac theory. Here we repeat the analysis for a relativistic flow, pointing to a new approach for deriving relativistic quantum mechanics.

Related papers

• Dirac Theory as a Relativistic Flow [0.0]
  We show how Schr"odinger's equation can be deduced from a fluid dynamical Lagrangian of a charged potential flow. The quantum behaviour was derived from Fisher information terms which were added to the classical Lagrangian.
  arXiv  Detail & Related papers  (2024-07-22T12:38:21Z)
• Self-consistency, relativism and many-particle system [0.0]
  Interrelation between concepts of self-consistency, relativism and many-particle systems is considered. Paper shows that quantum systems with a time independent function of quasi-density probability in phase space are not capable to emit electromagnetic radiation.
  arXiv  Detail & Related papers  (2024-04-21T08:38:40Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Lecture Notes on Quantum Electrical Circuits [49.86749884231445]
  Theory of quantum electrical circuits goes under the name of circuit quantum electrodynamics or circuit-QED. The goal of the theory is to provide a quantum description of the most relevant degrees of freedom. These lecture notes aim at giving a pedagogical overview of this subject for theoretically-oriented Master or PhD students in physics and electrical engineering.
  arXiv  Detail & Related papers  (2023-12-08T19:26:34Z)
• About non-relativistic quantum mechanics and electromagnetism [0.0]
  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.
  arXiv  Detail & Related papers  (2022-07-27T05:05:27Z)
• Locally mediated entanglement in linearised quantum gravity [0.0]
  An information-theoretic argument: entanglement mediated by a local field certifies that the field is not classical. Previous derivations of the effect modelled gravity as instantaneous. In this framework, entanglement is clearly mediated by a quantum feature of the field.
  arXiv  Detail & Related papers  (2022-02-07T17:29:33Z)
• The energy level structure of the modified Schrodinger equation can be consistent with Lamb shift [3.15463184697502]
  In the literature of calculating atomic and molecular structures, most Schrodinger equations are described by Coulomb potential. In fact, the calculation accuracy of these Schrodinger equations is not consistent with Lamb shift. In the traditional ab initio calculation of quantum mechanics, it is common and necessary to use Dirac theory or quantum electrodynamics to correct the energy level of Schrodinger equation.
  arXiv  Detail & Related papers  (2022-01-25T08:42:43Z)
• 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)
• The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
  It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
  arXiv  Detail & Related papers  (2021-01-04T16:09:10Z)
• 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)
• 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)

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.