Foundations of Quantum Mechanics

Dear Colleagues,

Just over 100 years have passed since Max Planck proposed a formula that correctly describes the process of black body radiation. The essence of the formula is that it clearly shows that the radiation occurs by quantum portions. The year 1900 is that of the formulation of the quantum hypothesis proclaiming that the energy states of a physical system can be discrete. Since then, a whole galaxy of scientists has made a significant contribution to the development of quantum mechanics, the success of which was confirmed at a series of Solvay congresses.

It would seem that the triumph of quantum mechanics is impeccable—its results are incredibly prolific. However, some dark spots still remain. For that reason, the Nobel laureate Richard Feynman once said that no one really understands quantum mechanics. Now, it seems that physicists have come to terms with the fact that the most important theory remains a mystery.

The unexpected turn in understanding quantum mechanics came from a direction which no one expected. It is the amazing article of Couder and Fort, entitled "Single-Particle Diffraction and Interference at a Macroscopic Scale", from 2006. It describes an oil droplet moving along silicon oil that is subjected to shaking of frequencies and amplitudes slightly below the supercritical bifurcation, leading to the emergence of Faraday waves. Surprisingly, the droplet bouncing in the beat with the frequency of the Faraday waves moves through a two-slit obstacle, similar to a quantum particle controlled by a guiding wave passing through the two-slit grating. This work provided a new perspective on da Broglie's double solution theory.

We invite academia and industry researchers to submit original and unpublished manuscripts to this Special Issue that develops research works related to this topic.

The goal of the Special Issue is to publish the most recent research results with foundations in quantum mechanics:

• Interpretations of quantum mechanics, their commonality and differences;
• Nonequilibrium thermodynamics as a basic of quantum mechanics;
• Hydrodynamical analogues of quantum phenomena;
• Nonrelativistic limit, Schrodinger equation;
• Relativistic limit, Dirac equation;
• Bohmian quantum mechanics;
• Principle of nonlocality and Bell theorem;
• Superconductivity and superfluidity;

Dr. Valeriy Sbitnev
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Universe is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• Nonequilibrium thermodynamics
• Schrodinger equation
• Havier–Stokes equation
• Bohmian mechanics
• quantum nonlocality
• quantum potential
• wavefunction
• vortex