Feynman Propagator for Interacting Electrons in the Quantum Fokker Theory

• URL: http://arxiv.org/abs/2004.09500v1
• Date: Sun, 19 Apr 2020 10:42:58 GMT
• Title: Feynman Propagator for Interacting Electrons in the Quantum Fokker Theory
• Authors: Natalia Gorobey, Alexander Lukyanenko, and A. V. Goltsev
• Abstract summary: modification consists in adding to the Fokker action its variation generated by the infinitesimal shifts of the proper time parameters. As a result, the proper time parameters become observable at the quantum level.
• Score: 62.997667081978825
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A modification of the Fokker action is proposed, which allows one to formulate the covariant quantum theory of the charge system, in which the proper time of each particle serves as the evolution parameter and the particles themselves receive an additional quantum number - spin. The modification consists in adding to the Fokker action its variation generated by the infinitesimal shifts of the proper time parameters. As a result, the proper time parameters become observable at the quantum level.

Related papers

• Amplification of quantum transfer and quantum ratchet [56.47577824219207]
  We study a model of amplification of quantum transfer and making it directed which we call the quantum ratchet model. The ratchet effect is achieved in the quantum control model with dissipation and sink, where the Hamiltonian depends on vibrations in the energy difference synchronized with transitions between energy levels. Amplitude and frequency of the oscillating vibron together with the dephasing rate are the parameters of the quantum ratchet which determine its efficiency.
  arXiv  Detail & Related papers  (2023-12-31T14:04:43Z)
• Quantum stochastic trajectories for particles and fields based on positive P-representation [0.0]
  We introduce a phase-space description based on the positive P representation for bosonic fields interacting with a system of quantum emitters. The formalism is applicable to collective light-matter interactions and open quantum systems with decoherence. A potential future application is the quantum mechanical description of collective spontaneous emission of an incoherently pumped ensemble of atoms.
  arXiv  Detail & Related papers  (2023-06-30T08:38:47Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Quantum Reference Frames for Lorentz Symmetry [0.0]
  We introduce a reformulation of relativistic quantum mechanics independent of any notion of preferred temporal slicing. We define transformations that switch between the perspectives of different relativistic QRFs. We analyse two effects, superposition of time dilations and superposition of length contractions, that arise only if the reference frames exhibit both relativistic and quantum-mechanical features.
  arXiv  Detail & Related papers  (2022-12-28T20:04:22Z)
• Effective information bounds in modified quantum mechanics [0.03492633112489883]
  We show that quantum systems undergo corrections to the quantum speed limit which, in turn, imply the modification of the Heisenberg limit for parameter estimation. For some nonlocal models inspired by quantum gravity, the bounds are found to oscillate in time, an effect that could be tested in future high-precision quantum experiments.
  arXiv  Detail & Related papers  (2022-11-16T21:37:04Z)
• Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
  Two particles are identical if all their intrinsic properties, such as spin and charge, are the same. Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles. We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
  arXiv  Detail & Related papers  (2021-05-10T13:11:59Z)
• Quantum time dilation in atomic spectra [62.997667081978825]
  We demonstrate how quantum time dilation manifests in a spontaneous emission process. The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets. We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
  arXiv  Detail & Related papers  (2020-06-17T18:03:38Z)
• Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories [0.0]
  We show via a random matrix theory approach to nonintegrable quantum systems that the set of outcomes of the measurement of a macroscopic observable evolve in time like variables. Our results show how to extend the framework of eigenstate thermalization to the prediction of properties of quantum measurements on an otherwise closed quantum system.
  arXiv  Detail & Related papers  (2020-03-18T18:32:47Z)
• Feynman Propagator for a System of Interacting Scalar Particles in the Fokker Theory [62.997667081978825]
  The functional integral on the generalized phase space is defined as the initial one in quantum theory. The measure of integration in the generalized configuration space of world particle lines is determined. A modification of the propagator is proposed, in which the role of independent time parameters is taken by the time coordinates of the particles in Minkowski space.
  arXiv  Detail & Related papers  (2020-02-10T09:09:45Z)

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.