A geometric effect of quantum particles originated from the classicality of their flow velocity

• URL: http://arxiv.org/abs/2402.11624v2
• Date: Mon, 30 Sep 2024 08:55:58 GMT
• Title: A geometric effect of quantum particles originated from the classicality of their flow velocity
• Authors: Tomer Shushi,
• Abstract summary: We show how the maximum values of the wavefunction's amplitude lie along the boundaries of the region when imposing a vanished quantum potential. Such an effect cannot be achieved in the relativistic regime when dealing with quantum particles in flat or curved spacetime.
• Score: 0.0
• License:
• Abstract: In this short paper, we propose a new quantum effect that naturally emerges from describing the quantum particle as a classical fluid. Following the hydrodynamical formulation of quantum mechanics for a particle in a finite convex region, we show how the maximum values of the wavefunction's amplitude lie along the boundaries of the region when imposing a vanished quantum potential, implying\ a classical flow velocity of the particle. The effect is obtained for the case of particles in curved space, described by Riemannian structures. We further show that such an effect\ cannot be achieved in the relativistic regime when dealing with quantum particles in flat or curved spacetime.

Related papers

• Quantum Particle Statistics in Classical Shallow Water Waves [4.995343972237369]
  We show that when locally oscillating particles are guided by real wave gradients, particles may exhibit trajectories of alternating periodic or chaotic dynamics. The particle probability distribution function of this analogy reveals the quantum statistics of the standard solutions of the Schr"odinger equation.
  arXiv  Detail & Related papers  (2024-09-29T09:40:19Z)
• 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)
• Effective description of a quantum particle constrained to a catenoid [0.3749861135832073]
  We describe a quantum particle constrained on a catenoid, employing an effective description of quantum mechanics based on expected values of observables and quantum dispersions. We obtain semiclassical trajectories for particles, displaying general features of the quantum behaviour.
  arXiv  Detail & Related papers  (2024-02-23T01:39:28Z)
• Oscillating Fields, Emergent Gravity and Particle Traps [55.2480439325792]
  We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description. Remarkably, the action models the effects of general relativity on the motion of nonrelativistic particles, with the values of the emergent curvature and speed of light determined by the field spatial distribution and frequency.
  arXiv  Detail & Related papers  (2023-10-03T18:00:02Z)
• Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum [58.720142291102135]
  We show traces of quantum friction in the degradation of the quantum coherence of a particle. We propose to use the accumulated geometric phase acquired by a particle as a quantum friction sensor. The experimentally viable scheme presented can spark renewed optimism for the detection of non-contact friction.
  arXiv  Detail & Related papers  (2021-03-22T16:25:27Z)
• Enhanced decoherence for a neutral particle sliding on a metallic surface in vacuum [68.8204255655161]
  We show that non-contact friction enhances the decoherence of the moving atom. We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
  arXiv  Detail & Related papers  (2020-11-06T17:34:35Z)
• Light emission is fundamentally tied to the quantum coherence of the emitting particle [0.0]
  We show that even in seemingly classical experimental regimes, light emission is tied to quantum properties of the emitting particles. By employing quantum electrodynamics, we unveil the role of the particle's coherent momentum uncertainty. We find instead that the shockwave's duration is fundamentally bound from below by the particle's coherent momentum uncertainty.
  arXiv  Detail & Related papers  (2020-11-01T20:24:00Z)
• Experiment-friendly formulation of quantum backflow [1.0323063834827415]
  We quantify the amount of quantum backflow for arbitrary momentum distributions. We show that the probability of finding a free falling particle above initial level could grow for suitably prepared quantum state with most momentum downwards.
  arXiv  Detail & Related papers  (2020-08-18T13:52:15Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)
• Proposed measurement of simultaneous particle and wave properties of electric current in a superconductor [0.0]
  We propose to measure the local macroscopic current passed through two slits in a superconductor. According to the theory based on the linearized Ginzburg-Landau equation for the macroscopic pseudo wave function, the streamlines of the measured current should have the same form as particle trajectories. By an explicit computation we find that the streamlines should show a characteristic wiggling, which is a consequence of quantum interference.
  arXiv  Detail & Related papers  (2020-03-31T09:33:24Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.