Overcoming a challenge for Bohmian mechanics

• URL: http://arxiv.org/abs/2507.08049v1
• Date: Thu, 10 Jul 2025 07:38:32 GMT
• Title: Overcoming a challenge for Bohmian mechanics
• Authors: Hrvoje Nikolic,
• Abstract summary: Bohmian mechanics has been challenged by studying a system in which the motion of particles cannot be associated only with the phase gradient of the wave function.<n>We point out that, in general, Bohmian velocity is defined by the continuity equation, which does not always lead to velocity depending only on the phase gradient.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, Bohmian mechanics has been challenged [Nature 643, 67 (2025)] by studying a system in which the motion of particles cannot be associated only with the gradient of phase of the wave function. We point out that, in general, Bohmian velocity is defined by the continuity equation, which does not always lead to velocity depending only on the phase gradient. By constructing the appropriate velocity explicitly, we overcome the challenge.

Related papers

• Comment on "Energy-speed relationship of quantum particles challenges Bohmian mechanics" [0.0]
  In their recent paper they report an "energy-speed relationship" for quantum particles in evanescent states.<n>Authors argue that their findings challenge the validity of Bohmian particle dynamics.<n>We explain why this claim is false and the experimental findings are in perfect agreement with Bohmian mechanics.
  arXiv  Detail & Related papers  (2025-08-06T14:14:13Z)
• Tunnelling photons pose no challenge to Bohmian machanics [10.618067065229939]
  Recently, Sharoglazova et al. performed an experiment measuring the energy-velocity relationship and Bohmian velocity in coupled waveguides.<n>Here, we demonstrate this experiment poses no challenge to Bohmian mechanics.
  arXiv  Detail & Related papers  (2025-07-27T01:50:13Z)
• A pseudo-random and non-point Nelson-style process [49.1574468325115]
  We take up the idea of Nelson's processes, the aim of which was to deduce Schr"odinger's equation.<n>We consider deterministic processes which are pseudo-random but which have the same characteristics as Nelson's processes.
  arXiv  Detail & Related papers  (2025-04-29T16:18:51Z)
• The Bohmian solution to the problem of time [0.0]
  In canonical quantum gravity the wave function of the universe is static, leading to the so-called problem of time. We summarize here how Bohmian mechanics solves this problem.
  arXiv  Detail & Related papers  (2023-07-15T17:44:30Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Can a particle moves zigzag in time? [0.0]
  Amplitudes of quantum transitions containing time zigzags are considered. It is shown that the wave function is singular at the instant of the time zigzag.
  arXiv  Detail & Related papers  (2022-03-08T16:59:06Z)
• A shortcut to adiabaticity in a cavity with a moving mirror [58.720142291102135]
  We describe for the first time how to implement shortcuts to adiabaticity in quantum field theory. The shortcuts take place whenever there is no dynamical Casimir effect. We obtain a fundamental limit for the efficiency of an Otto cycle with the quantum field as a working system.
  arXiv  Detail & Related papers  (2022-02-01T20:40:57Z)
• Developments of Bohmian Mechanics [0.0]
  Bohmian mechanics is a deterministic theory of quantum mechanics. It is not applicable to stationary states, since the velocity field for stationary states is the zero function. An alternative to Bohmian mechanics has been formulated, based on a conservation of energy equation.
  arXiv  Detail & Related papers  (2021-10-04T01:30:03Z)
• Relativistic Bohmian trajectories of photons via weak measurements [0.0]
  Bohmian mechanics is a nonlocal hidden-variable interpretation of quantum theory. The trajectories satisfy quantum-mechanical continuity and the relativistic velocity addition rule. We propose a modified Alcubierre metric which could give rise to these trajectories within the paradigm of general relativity.
  arXiv  Detail & Related papers  (2021-08-11T11:51:32Z)
• Experimental Adiabatic Quantum Metrology with the Heisenberg scaling [21.42706958416718]
  We propose an adiabatic scheme on a perturbed Ising spin model with the first order quantum phase transition. We experimentally implement the adiabatic scheme on the nuclear magnetic resonance and show that the achieved precision attains the Heisenberg scaling.
  arXiv  Detail & Related papers  (2021-02-14T03:08:54Z)
• 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)
• Chaos in Bohmian Quantum Mechanics: A short review [0.0]
  We develop a generic theoretical mechanism responsible for the generation of chaos in an arbitrary Bohmian system. We study the effect of chaos on Bohmian trajectories and study chaos and ergodicity in qubit systems. Our results shed light on a fundamental problem in Bohmian Mechanics, namely whether there is a dynamical approximation of Born's rule by an arbitrary initial distribution of Bohmian particles.
  arXiv  Detail & Related papers  (2020-09-12T21:01:21Z)
• Bell's theorem for trajectories [62.997667081978825]
  A trajectory is not an outcome of a quantum measurement, in the sense that there is no observable associated with it. We show how to overcome this problem by considering a special case of our generic inequality that can be experimentally tested point-by-point in time.
  arXiv  Detail & Related papers  (2020-01-03T01:40:44Z)

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.