Force-free momentum change, Bohmian mechanics, and Quantum erasers

Moise Bonilla–Licea, Dieter Schuch

P.L. Grande, Raul C. Fadanelli, Filip Vuković +2 more

We employed Bohmian mechanics to solve the equations of motion for a charged particle traveling in a free electron gas. Quantum effects are accounted for by including the Bohm quantum-mechanical potential Q , which depends on the electronic density, in the typical classical description. Our approach provides a computationally efficient alternative to traditional quantum calculations for determining the electronic stopping force of charged particles in matter. We use this framework to investigate the stopping of fast protons and slow highly charged xenon ions in the free electron gas. For highly charged ions, we predict the stopping force as a function of the projectile charge exchange.

Faramarz Rahmani, Mehdi Golshani, Ghadir Jafari

In objective gravitational reduction of the wave function of a quantum system, the classical limit of the system is obtained in terms of the objective properties of the system. On the other hand, in Bohmian quantum mechanics the usual criterion for getting classical limit is the vanishing of the quantum potential or the quantum force of the system, which suffers from the lack of an objective description. In this regard, we investigated the usual criterion of getting the classical limit of a free particle in Bohmian quantum mechanics. Then we argued how it is possible to have an objective gravitational classical limit related to the Bohmian mechanical concepts like quantum potential or quantum force. Also we derived a differential equation related to the wave function reduction. An interesting connection will be made between Bohmian mechanics and gravitational concepts.

Nino Zanghı̀

Gary Bowman

The time evolution of an arbitrary one-dimensional initial quantum state, subject to a time-independent, spatially uniform classical force, is shown to be that of a free-particle state, plus an overall motion arising from the classical force. Bohmian mechanics is then used to extend this result to an arbitrarily time-dependent, uniform force in three dimensions. The resulting solution is completed and confirmed using conventional quantum mechanics.

E. Deotto, G. C. Ghirardi