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We propose a well-posed Maxwell-type boundary condition for the linear moment system in half-space. As a reduction of the Boltzmann equation, the moment equations are available to model Knudsen layers near a solid wall, where proper…

Analysis of PDEs · Mathematics 2023-01-31 Ruo Li , Yichen Yang

In strongly interacting massive particle (SIMP) scenarios, dark matter is comprised of stable dark pions whose $3\to 2$ or $4\to 2$ reactions set the dark matter relic abundance. Recent work has shown that shallow two-pion bound states…

High Energy Physics - Phenomenology · Physics 2025-12-10 Xiaoyong Chu , Josef Pradler , Daris Samart

Bound state properties of few single and double-$\Lambda$ hypernuclei is critically examined in the framework of core-$\Lambda$ and core+$\Lambda+\Lambda$ few-body model applying hyperspherical harmonics expansion method (HHEM). The…

Nuclear Theory · Physics 2015-09-24 Md. Abdul Khan

The two-dimensional repulsive Hubbard model has been investigated by a variety of methods, from small to large U. Superconductivity with d-wave symmetry is consistently found close to half filling. After a brief review of the various…

Strongly Correlated Electrons · Physics 2018-12-31 Dionys Baeriswyl

It may be possible to derive a constituent approximation for bound states in QCD using hamiltonian light-front field theory. Cutoffs that violate explicit gauge invariance and Lorentz covariance must be employed. A similarity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Perry

We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as interacting systems of harmonic quantum oscillators. In both…

Mathematical Physics · Physics 2018-01-03 Robert Sims , Gunter Stolz

We perform precise studies of two- and three-body interactions near an intermediate-strength Feshbach resonance in $^{39}\mathrm{K}$ at $33.5820(14)\thinspace$G. Precise measurement of dimer binding energies, spanning three orders of…

We study extended Hubbard model on a triangular lattice near doping $x=1/3$, which may be relevant for the recently discovered superconductor Na$_x$CoO$_2 \cdot y$H$_2$O. By generalizing this model to $N$ fermionic species, we formulate a…

Strongly Correlated Electrons · Physics 2009-11-10 O. I. Motrunich , Patrick A. Lee

We derive Ginzburg-Landau-like action for two-dimensional disordered superconductor under far-from-equilibrium conditions in a fluctuational regime. Then, utilizing it, we calculate fluctuation induced density of states, Maki-Thomson and…

Superconductivity · Physics 2015-05-28 A. Petkovic , N. M. Chtchelkatchev , V. M. Vinokur

An approximate analytical scheme of the dynamical mean field theory (DMFT) is developed for the description of the electron (ion) lattice systems with Hubbard correlations within the asymmetric Hubbard model where the chemical potentials…

Strongly Correlated Electrons · Physics 2009-11-11 Ihor V. Stasyuk , Orest B. Hera

A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and…

Quantum Physics · Physics 2009-11-13 A. Ganguly , M. V. Ioffe , L. M. Nieto

Bound states around an impurity are investigated for a two dimensional electron system in a strong magnetic field. Long-range Coulomb potential and related potentials are considered. Schr\"odinger equation is solved numerically to obtain…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Daijiro Yoshioka

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

We provide a leading order semiclassical asymptotics of the energy of bound states for magnetic Neumann Schr\"odinger operators in two dimensional (exterior) domains with smooth boundaries. The asymptotics is valid all the way up to the…

Spectral Theory · Mathematics 2014-02-26 S. Fournais , A. Kachmar

For uniform systems of spin-less fermions in d spatial dimensions with d > 1, interacting through the isotropic two-body potential v(r-r'), a celebrated theorem due to Luttinger (1961) states that under the_assumption_ of validity of the…

Strongly Correlated Electrons · Physics 2007-05-23 Behnam Farid

We extract the leading Fock-state light front wave functions (LF-LFWFs) of both the light and heavy pseudoscalar mesons, e.g., the pion (at masses of 130 MeV, 310 MeV and 690 MeV), $\eta_c$ and $\eta_b$, from their covariant Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2021-11-24 Chao Shi , Ming Li , Xurong Chen , Wenbao Jia

Within the Euclidean path integral and mass perturbation theory we derive, from the Dyson-Schwinger equations of the massive Schwinger model, a general formula that incorporates, for sufficiently small fermion mass, all the bound-state mass…

High Energy Physics - Theory · Physics 2009-10-30 C. Adam

We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at an angle $\theta$. Such a four-terminal junction with a…

Condensed Matter · Physics 2009-11-07 Evgeny N. Bulgakov , Pavel Exner , Konstantin N. Pichugin , Almas F. Sadreev

Due to the presence of strong correlations, theoretical or experimental investigations of quantum many-body systems belong to the most challenging tasks in modern physics. Stimulated by tensor networks, we propose a scheme of constructing…

Strongly Correlated Electrons · Physics 2017-10-17 Shi-Ju Ran , Angelo Piga , Cheng Peng , Gang Su , Maciej Lewenstein

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky