EPJ D Topical Review - Applied Bohmian Mechanics

Interaction of a hydrogen atom with a left-circularly polarized Laguerre-Gaussian beam

Bohmian mechanics provides an explanation of quantum phenomena in terms of point particles guided by wave functions. This EPJ D review focuses on the formalism of non-relativistic Bohmian mechanics, rather than its interpretation, and although the Bohmian and standard quantum mechanical theories have different formalisms, they both yield exactly the same predictions for all phenomena.

Fifteen years ago the quantum chemistry community began to study the practical utility of Bohmian mechanics, and since that time the scientific community has primarily applied it to the study of the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectory-based explanation of complicated quantum phenomena.

Here, the authors present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for problems where the Bohmian and quantum hydrodynamic formalisms coincide.

In addition, this work emphasises that the Bohmian formalism can be a useful tool in other types of (non-unitary and non-linear) quantum mechanical problems, where the influence of the environment on the global wave function is unknown. This review also contains examples illustrating the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. To date, the ability of the Bohmian formalism to analyse this last type of problem for (open) quantum systems remains largely unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory amongst members of the scientific community will be greatly influenced by its potential to solve problems that present non-unitary and/or non-linear quantum evolutions. A brief introduction to the Bohmian formalism and some of its extensions are presented in the last part of this review.

This was our first experience of publishing with EPJ Web of Conferences. We contacted the publisher in the middle of September, just one month prior to the Conference, but everything went through smoothly. We have had published MNPS Proceedings with different publishers in the past, and would like to tell that the EPJ Web of Conferences team was probably the best, very quick, helpful and interactive. Typically, we were getting responses from EPJ Web of Conferences team within less than an hour and have had help at every production stage.
We are very thankful to Solange Guenot, Web of Conferences Publishing Editor, and Isabelle Houlbert, Web of Conferences Production Editor, for their support. These ladies are top-level professionals, who made a great contribution to the success of this issue. We are fully satisfied with the publication of the Conference Proceedings and are looking forward to further cooperation. The publication was very fast, easy and of high quality. My colleagues and I strongly recommend EPJ Web of Conferences to anyone, who is interested in quick high-quality publication of conference proceedings.

On behalf of the Organizing and Program Committees and Editorial Team of MNPS-2019, Dr. Alexey B. Nadykto, Moscow State Technological University “STANKIN”, Moscow, Russia. EPJ Web of Conferences vol. 224 (2019)

ISSN: 2100-014X (Electronic Edition)

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