Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field

• URL: http://arxiv.org/abs/2408.10598v1
• Date: Tue, 20 Aug 2024 07:13:45 GMT
• Title: Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field
• Authors: M. Baradaran, L. M. Nieto, S. Zarrinkamar,
• Abstract summary: The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb) We discuss several known generalizations of the Coulomb potential within this formulation in terms of certain Heun functions. The impossibility of solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Motivated by the interface between curved spacetime quantum mechanics and applications in space quantum communications, quantum technologies and quantum optics, the Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum corrections to the classical potential. The general idea in choosing the metric is that the spacetime contributions are contained in an external potential or in an electromagnetic potential which can be considered as a good basis for future studies on space quantum communication. We also discuss several known generalizations of the Coulomb potential within this formulation in terms of certain Heun functions. The impossibility of solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed, and finally the Bethe-ansatz approach is proposed to overcome this challenging problem.

Related papers

• Transmission of quantum information through quantum fields in curved spacetimes [0.0]
  We construct a quantum communication channel between two localized qubit systems mediated by a relativistic quantum field. We express the quantum capacity of the quantum communication channel purely in terms of the correlation functions of the field and the causal propagator for the wave equation.
  arXiv  Detail & Related papers  (2024-08-01T12:48:48Z)
• Embezzling entanglement from quantum fields [41.94295877935867]
  Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system. We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
  arXiv  Detail & Related papers  (2024-01-14T13:58:32Z)
• Quantum mechanics without quantum potentials [0.0]
  Non-locality in quantum mechanics can be resolved by considering relativistically covariant diffusion in spacetime. We introduce the concept of momentum equilinear to replace the second-order Bohm-Newton equations of motion.
  arXiv  Detail & Related papers  (2024-01-08T18:51:38Z)
• On Some Quantum Correction to the Coulomb Potential in Generalized Uncertainty Principle Approach [0.0]
  We consider a modified Schr"odinger equation resulting from a generalized uncertainty principle. As the resulting equation cannot be solved by common exact approaches, we propose a Bethe ansatz approach.
  arXiv  Detail & Related papers  (2024-01-07T12:07:35Z)
• Matter relative to quantum hypersurfaces [44.99833362998488]
  We extend the Page-Wootters formalism to quantum field theory. By treating hypersurfaces as quantum reference frames, we extend quantum frame transformations to changes between classical and nonclassical hypersurfaces.
  arXiv  Detail & Related papers  (2023-08-24T16:39:00Z)
• 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)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Spacetime effects on wavepackets of coherent light [24.587462517914865]
  We introduce an operational way to distinguish between the overall shift in the pulse wavepacket and its genuine deformation after propagation. We then apply our technique to quantum states of photons that are coherent in the frequency degree of freedom. We find that the quantum coherence initially present can enhance the deformation induced by propagation in a curved background.
  arXiv  Detail & Related papers  (2021-06-23T14:20:19Z)
• Projection Hypothesis from the von Neumann-type Interaction with a Bose-Einstein Condensate [0.0]
  We derive the projection hypothesis in projective quantum measurement by restricting the set of observables. The key steps in the derivation are the return of the symmetry translation of this quantum coordinate to the inverse translation of the c-number spatial coordinate in quantum field theory.
  arXiv  Detail & Related papers  (2020-12-03T13:05:36Z)
• 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.