DNP Seminar

02-17-2021 11:00 Online

The report is devoted to the development of ideas about the Acceleration Effect as a general physical effect, formulated in the recent work of A.I. Frank. It is devoted to the presentation of the results of a numerical study of the manifestation of the acceleration effect in the interaction of a particle with various accelerated quantum objects.

A wave packet with parameters characteristic of ultracold neutrons was considered as a particle. Various planar potential structures were used as quantum objects, namely: a potential step, a potential barrier, a potential well, a double potential step, an interference filter, a two-layer structure.

The study of problems was carried out by numerically solving the non-stationary Schrödinger equation by splitting the evolution operator. The spectra of the resulting state were obtained after the interaction of the package with the object.

The results demonstrate a pronounced presence of the acceleration effect in all the studied problems. In the case of resonant structures, the acceleration effect is proportional to the lifetime of the state inside the object (which can be many times longer than the time of flight of the particle). The results obtained confirm the hypothesis that the acceleration effect is a consequence not so much of the passage of a particle through an accelerated refracting sample as the existence of a nonzero interaction time in quantum mechanics.

The presentation of the report is available at the link

The recording of the online seminar of the NUF is available at the link