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This paper is a programmatic article presenting an outline of a new view of the foundations of quantum mechanics and quantum field theory. In short, the proposed foundations are given by the following statements: * Coherent quantum physics…

Quantum Physics · Physics 2019-05-21 Arnold Neumaier

This is an introduction to some of the analytic (or integrable systems) aspects of quantum cohomology which have attracted much attention during the last few years. The small quantum cohomology algebra, regarded as an example of a Frobenius…

Differential Geometry · Mathematics 2007-05-23 Martin A. Guest

On the base of years of experience of working on the problem of the physical foundation of quantum mechanics the author offers principles of solving it. Under certain pressure of mathematical formalism there has raised a hypothesis of…

Quantum Physics · Physics 2007-05-23 V. E. Shemi-zadeh

A Comment on Frank Wilczek's paper "Quantum Time Crystals" (Phys. Rev. Lett. 109, 160401 (2012); arXiv:1202.2539).

Quantum Physics · Physics 2013-03-13 Patrick Bruno

This is an open letter on the nature of the quantum theory.

Popular Physics · Physics 2010-12-07 Jeremy Bernstein

The author's opinion on the interpretation of quantum mechanics is further elucidated. Not only may quantum mechanics be a description of the sub-microscopic world that is profoundly different from what is often asserted, particularly…

Quantum Physics · Physics 2021-04-08 Gerard 't Hooft

I describe aspects of my life in physics: the name I publish under, great physicists I have known, how I got into quantum foundations, what role I've played in it. My form is autobiographical, but my personal experience may illustrate what…

History and Philosophy of Physics · Physics 2024-01-10 N. David Mermin

Summary of Quantum Magnetism Conference, Institute for Theoretical Physics, University of California, Santa Barbara, California, August 16-20, 1999.

Strongly Correlated Electrons · Physics 2007-05-23 R. R. P. Singh , W. E. Pickett , D. W. Hone , D. J. Scalapino

These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four…

High Energy Physics - Theory · Physics 2023-03-24 Horacio Casini , Marina Huerta

This essay is a tour around many of the lesser known pregeometric models of physics, as well as the mainstream approaches to quantum gravity, in search of common themes which may provide a glimpse of the final theory which must lie behind…

High Energy Physics - Theory · Physics 2008-02-03 Phil E. Gibbs

This is the first Internet course on elementary quantum mechanics written in Spanish ("castellano") for the benefit of Spanish speaking students. I thank my eight Mexican students at the Institute of Physics, University of Guanajuato, Leon,…

Physics Education · Physics 2007-05-23 H. C. Rosu

We expose the Schr\"odinger quantum mechanics with traditional applications to Hydrogen atom. We discuss carefully the experimental and theoretical background for the introduction of the Schr\"odinger, Pauli and Dirac equations, as well as…

Mathematical Physics · Physics 2007-05-23 A. Komech

This paper surveys the field of quantum communication complexity. Some interesting recent results are collected concerning relations to classical communication, lower bound methods, one-way communication, and applications of quantum…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

We present an analysis of quantum mechanics and its problems and paradoxes taking into account the results that have been obtained during the last two decades by investigations in the field of `quantum structures research'. We concentrate…

Quantum Physics · Physics 2007-05-23 Diederik Aerts

This is a chapter for the book "Understanding Quantum Phase Transitions" edited by Lincoln D. Carr (Taylor & Francis, Boca Raton, 2010)

Strongly Correlated Electrons · Physics 2015-05-18 A. A. Shashkin , S. V. Kravchenko

Quantum algorithms are demonstrated to outperform classical algorithms for certain problems and thus are promising candidates for efficient information processing. Herein we aim to provide a brief and popular introduction to quantum…

Quantum Physics · Physics 2022-12-22 Shihao Zhang , Lvzhou Li

This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

Mathematical Physics · Physics 2007-05-23 Steve Zelditch

In this note I expand further on the main assumptions leading to the consistent-amplitude approach to quantum theory and I offer a reply to Jerry Finkelstein's recent comment (quant-ph/9809017) concerning my argument for the linearity of…

Quantum Physics · Physics 2007-05-23 Ariel Caticha

Inspired by the work of Feynman, Deutsch, We formally propose the theory of physical computability and accordingly, the physical complexity theory. To achieve this, a framework that can evaluate almost all forms of computation using various…

Computational Physics · Physics 2011-12-06 Huimin Zheng , HaiXing Hu , Nan Wu , Fangmin Song

The interpretation of quantum mechanics has been a problem since its founding days. A large contribution to the discussion of possible interpretations of quantum mechanics is given by the so-called impossibility proofs for hidden variable…

Quantum Physics · Physics 2010-02-09 Ronnie Hermens