Mathematics That Fathoms Quantum Mechanics—Celebrating the 100th Anniversary

Dear Colleagues,

To celebrate the 100th anniversary of the birth of quantum mechanics, the journal Mathematics plans to publish a series of essays in a Special Issue titled Mathematics That Fathoms Quantum Mechanics—Celebrating the 100th Anniversary. Scholars are welcome to submit their latest research achievements, and we will publish and share them in a timely manner.

Although the most fundamental results were published in 1925 (Heisenberg, Born, Jordan, Dirac) and 1926 (Pauli, Schrödinger), the term “Quantum Mechanics” was coined by Max Born in his paper entitled Über Quantenmechanik” (On Quantum Mechanics), published in 1924 in Zs. F. Phys 26, 379-395 (received on June 13, 1924).

The upcoming collection of essays aims to investigate the profound influence that the Quantum Mechanics revolution had on Mathematics and how this, in turn, shaped the advancement of Physical and Chemical Sciences by introducing novel mathematical formalisms and structures. It is evident that a comprehensive grasp of Quantum Mechanics necessitates a remarkable level of mathematical proficiency, rendering this subject all the more intriguing and crucial to scrutinize.

It is paramount to consider how the introduction of new mathematical tools and constructs has shaped our perception of the world. We are eagerly anticipating the insights that the essays will provide.

The editors propose authors write down their understanding of how Mathematics shapes the rigor in quantum theory. Contributions could be either on a specific historical chapter within the vast topics that comprise the subject, or an overview.

We dedicate this Special Issue to topics such as:

• Field theory;
• Phase space formulations;
• Mathematics in quantum computation;
• Group theory;
• Functional Analysis;
• Mathematical Physics;
• History and impact in the Philosophy of Nature.

Prof. Dr. Salomon Sylvain Mizrahi
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. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). 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.

• quantum mechanics
• mathematical physics
• group theory
• functional analysis
• quantum computation
• quantum communication
• phase space formulations
• fundamental theory
• optimization algorithms
• communication security
• information theory
• philosophy of nature