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Bogoliubov's 1947 approximation, originally developed in the microscopic theory of superfluidity, laid the foundation for solving previously intractable quantum models and later became part of "quantum mathematics". Regarding mathematically…

Functional Analysis · Mathematics 2026-05-26 Jean-Bernard Bru , Walter de Siqueira Pedra , Artur Oscar Lopes

In several superconductors above the superconducting transition temperature Tc, the electrical resistivity is of the form {\rho} =AT^2. We show that there exists an empirical relation between Tc and A when both vary with an external…

Superconductivity · Physics 2011-09-06 Manuel Núñez-Regueiro , Gastón Garbarino , María Dolores Núñez-Regueiro

High-temperature superconductors (HTSC) and heavy-fermion (HF) metals exhibit extraordinary properties. They are so unusual that the traditional Landau paradigm of quasiparticles does not apply. It is widely believed that utterly new…

Superconductivity · Physics 2008-06-29 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov , V. A. Stephanovich

Quantum physics is considered as one of the most remarkable discoveries of contemporary physics grown during previous century and gradually manifested to the scientific world such as inventions of laser, the transistor, the electron…

Physics Education · Physics 2010-03-01 Bayram Akarsu

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. There is, however, lack of theoretical understanding in this field of physics. The ideas based on the concepts…

Strongly Correlated Electrons · Physics 2011-11-22 V. R. Shaginyan

The 2021 Nobel Prize in physics was awarded to Giorgio Parisi ``for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales,'' and the 2024 Abel Prize in mathematics was awarded to…

Probability · Mathematics 2025-01-28 David Gamarnik

Einstein is usually revered as the father of special and general relativity. In this article I demonstrate that he is also the father of Solid State Physics, or even his broader version known as Condensed Matter Physics (including liquids).…

History and Philosophy of Physics · Physics 2007-05-23 Manuel Cardona

Penrose's crucial contributions to General Relativity, symbolized by his 1965 singularity theorem, received (half of) the 2020 Nobel prize in Physics. A renewed interest in the ideas and implications behind that theorem, its later…

General Relativity and Quantum Cosmology · Physics 2022-10-11 José M M Senovilla

The major advances in physics have been through counterintuitive breakthroughs-- ideas that seemed to go against prevailing convictions. In the twentieth century the Special and General Theory of Relativity and Quantum Mechanics have…

General Physics · Physics 2007-05-23 B. G. Sidharth

The failure of Landau-Fermi liquid theory is often considered a telltale sign of universal, scale-invariant behavior in the emergent field theory of interacting fermions. Nevertheless, there exist borderline cases where weak scale…

Strongly Correlated Electrons · Physics 2020-08-19 Joshuah T. Heath

Inspired by the Landau two-fluid model of superfluidity, we consider a similar multifluid description for cosmology where two normal fluids occur for matter and radiation respectively. For cyclic cosmology, two dark energy superfluid…

High Energy Physics - Theory · Physics 2009-10-02 Irina Aref'eva , Paul H. Frampton , Shinya Matsuzaki

We develop the kinetic theory of classical and quantum particles (fermions and bosons) in gravitational interaction. The kinetic theory of quantum particles may have applications in the context of dark matter. For simplicity, we consider an…

Astrophysics of Galaxies · Physics 2022-08-02 Pierre-Henri Chavanis

Although he was the recipient of a Nobel Prize and despite the greatness of his accomplishments, Julian Schwinger is almost an unsung hero of our age . He is relatively unknown to the general population, even though in the physics community…

General Physics · Physics 2007-05-23 Mario Rabinowitz

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition between the isotropic and the nematic phase is triggered by…

Strongly Correlated Electrons · Physics 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

The Landau paradigm is a central dogma for understanding phase and phase transitions in condensed matter systems, yet for decades it has been known that a variety of quantum phases exist beyond the framework. Is there a more general…

High Energy Physics - Theory · Physics 2026-01-15 Xie Chen

Intermolecular forces are modeled by means of a modified Lennard-Jones potential, introducing a distance of minimum approach, and the effect of intermolecular interactions is accounted for with a self consistent field of the Vlasov type. A…

Statistical Mechanics · Physics 2018-02-14 Vincenzo Molinari , Domiziano Mostacci

After some brief biographical notes, Wolfgang Pauli's main contributions to general relativity, quantum theory, quantum field theory, and elementary particle physics are reviewed. A detailed description is given how Pauli descovered -…

History and Philosophy of Physics · Physics 2007-05-23 Norbert Straumann

In this pedagogical introduction, I discuss theoretical aspects of superfluidity and superconductivity, mostly using a field-theoretical formalism. While the emphasis is on general concepts and mechanisms behind superfluidity, I also…

High Energy Physics - Phenomenology · Physics 2014-08-01 Andreas Schmitt

The quark matter created in relativistic nuclear collisions is interpreted as a nearly-perfect fluid. The recent efforts to explore its finite-density properties in the beam energy scan programs motivate one to revisit the issue of the…

Nuclear Theory · Physics 2019-07-26 Akihiko Monnai
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