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Quantum field theory is applied to study the interaction of an electron plasma with an intense neutrino flux. A connection is established between the field theory results and classical kinetic theory. The dispersion relation and damping…

High Energy Physics - Phenomenology · Physics 2009-10-31 Luis Bento

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

We consider the many-body dynamics of fermions with Coulomb interaction in a mean-field scaling limit where the kinetic and potential energy are of the same order for large particle numbers. In the considered limit the spatial variation of…

Mathematical Physics · Physics 2017-05-26 Sören Petrat

We report on numerical studies of the energy spectrum and the localization properties in the double-layer quantum Hall system at $\nu = 1$. The Coulomb interaction is treated by the Hartree-Fock approximation, and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jun-ichiro Watanabe , Tatsuya Nakajima

A nonlinear transformation approach is formulated for the correlated fermions' thermodynamics through a medium-scaling effective action. An auxiliary implicit variable-effective chemical potential is introduced to characterize the…

Statistical Mechanics · Physics 2009-10-20 Ji-sheng Chen

Plasmon-emitter interactions are of paramount importance in modern nanoplasmonics and are generally maximal at short emitter-surface separations. However, when the separation falls below 10-20 nm, the classical theory progressively…

Mesoscale and Nanoscale Physics · Physics 2020-01-20 P. A. D. Gonçalves , Thomas Christensen , Nicholas Rivera , Antti-Pekka Jauho , N. Asger Mortensen , Marin Soljačić

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

A plasmon is a collective excitation of electrons due to the Coulomb interaction. Both plasmons and single-particle excitations (SPEs) are eigenstates of bulk metallic systems and they are orthogonal to each other. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 Tomohiro Yokoyama , Masayuki Iio , Takashi Kinoshita , Takeshi Inaoka , Hajime Ishihara

Electron trapping in a finite amplitude Langmuir wave (LW) leads to a frequency shift, \Delta\omega_{TP} < 0, and reduced Landau damping. These may lead to modulational instability. Its growth rate and damping threshold, due to escape of…

Plasma Physics · Physics 2009-11-10 Harvey. A. Rose

We study the dispersion properties of electron plasma waves, or plasmons, which can be excited in quantum plasmas in the nonlinear regime. In order to describe nonlinear electron response to finite amplitude plasmons, we apply the Volkov…

Quantum Gases · Physics 2023-10-13 F. Haas , J. T. Mendonça , H. Terças

Using effective field theory approach we study a homogeneous superfluid state with a single (gapless) Fermi surface, recently suggested as a possible phase for an ultracold Fermi gas with spin-population imbalance. We find an unconventional…

Superconductivity · Physics 2007-11-05 Vladimir M. Stojanovic , W. Vincent Liu , Yong Baek Kim

Using Hartree-Fock orbitals with residual Coulomb repulsion, we study spinless fermions in a two dimensional random potential. When we increase the system size $L$ at fixed particle density, the size dependence of the average inverse…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard , Dima Shepelyansky

We study the breaking of spin symmetry for the nonlinear Hartree-Fock model describing an infinite translation-invariant interacting quantum gas (fluid phase). At zero temperature and for the Coulomb interaction in three space dimensions,…

Mathematical Physics · Physics 2019-05-30 David Gontier , Mathieu Lewin

We study the Hartree equation describing the time evolution of the wave functions of infinitely many fermions interacting with each other. The Hartree equation can be formulated in terms of random fields. This formulation was introduced by…

Analysis of PDEs · Mathematics 2023-05-01 Sonae Hadama

In this paper we study, in the time domain, the interaction between localized surface plasmons and photons in arbitrarily shaped metal nanoparticles, by using the Hopfield approach to quantize the plasmon modes, where the electron…

We address the problem of separating the short-distance, high-energy physics of cyclotron motion from the long- distance, low-energy physics within the Lowest Landau Level in field theoretic treatments of the Fractional Quantum Hall Effect.…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 R. Shankar , G. Murthy

In this review we give an overview of recent work on quantum kinetic theories of plasmas. We focus, in particular, on the case where the electrons are fully degenerate. For such systems, perturbation methods using the distribution function…

Plasma Physics · Physics 2017-11-17 Gert Brodin , Robin Ekman , Jens Zamanian

Landau-damped oscillations in collisionless plasmas, described by van Kampen and Case, are quasi-modes, representing a continuous superposition of singular eigenfunctions, not true eigenmodes. Recent work by Ng et al. shows that even rare…

Plasma Physics · Physics 2025-06-24 Evgeny V. Polyachenko , Ilia G. Shukhman

We present closed analytical expressions for the particle and kinetic energy spatial densities at finite temperatures for a system of noninteracting fermions (bosons) trapped in a d-dimensional harmonic oscillator potential. For d=2 and 3,…

Statistical Mechanics · Physics 2009-11-07 Brandon P. van Zyl , Rajat K. Bhaduri , Akira Suzuki , Matthias Brack

The effective Lagrangian of a test particle, interacting with an ideal gas, is calculated with in the closed time path formalism in the one-loop and the leading order of the particle trajectory. The expansion in the time derivative is…

Statistical Mechanics · Physics 2015-10-13 Janos Polonyi
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