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We present a semiclassical expansion of the smooth part of the density of states in potentials with some form of symmetry. The density of states of each irreducible representation is separately evaluated using the Wigner transforms of the…

chao-dyn · Physics 2016-08-31 B. Lauritzen , N. D. Whelan

In the context of the fractional quantum Hall effect, we investigate Laughlin's celebrated ansatz for the groud state wave function at fractional filling of the lowest Landau level. Interpreting its normalization in terms of a one component…

High Energy Physics - Theory · Physics 2015-06-26 P. Di Francesco , M. Gaudin , C. Itzykson , F. Lesage

We consider FLRW cosmological models with standard Friedmann equations, but leaving free the equation of state. We assume that the dark energy content of the universe is encoded in an equation of state $p=f(\rho)$, which is expressed with…

General Relativity and Quantum Cosmology · Physics 2014-11-20 L. Fernandez-Jambrina , R. Lazkoz

We prove lower bounds for the entanglement of formation and the squashed entanglement for any a bipartite density matrix in terms of the conditional entropy of the bipartite state with respect to either of its partial traces, and prove that…

Quantum Physics · Physics 2015-06-04 Eric A. Carlen , Elliott H. Lieb

The Bethe-Salpeter amplitude is expanded on a hyperspherical basis, thereby reducing the original 4-dimensional integral equation into an infinite set of coupled 1-dimensional ones. It is shown that this representation offers a highly…

Nuclear Theory · Physics 2011-08-17 Taco Nieuwenhuis , J. A. Tjon

Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional.…

Nuclear Theory · Physics 2015-06-11 A. Pastore , D. Davesne , J. Navarro

We analyse the long-wavelength response of a normal Fermi liquid using Landau theory. We consider contributions from intermediate states containing one additional quasiparticle-quasihole pair as well as those from states containing two or…

Nuclear Theory · Physics 2009-11-11 G. I. Lykasov , E. Olsson , C. J. Pethick

We present a method which enables solid-state density functional theory calculations to be applied to systems of almost unlimited size. Computations of physical effects up to the micron length scale but which nevertheless depend on the…

Materials Science · Physics 2021-01-04 Tristan Müller , Sangeeta Sharma , E. K. U. Gross , J. K. Dewhurst

The second-quantized form of the Laughlin states for the fractional quantum Hall effect is discussed by decomposing the Laughlin wavefunctions into the $N$-particle Slater basis. A general formula is given for the expansion coefficients in…

Condensed Matter · Physics 2015-06-25 G. Dunne

We consider the surface Stokes equation with Lagrange multiplier and approach it numerically. Using a Taylor-Hood surface finite element method, along with an appropriate estimate for the additional Lagrange multiplier, we derive a new…

Numerical Analysis · Mathematics 2025-07-03 Charles M. Elliott , Achilleas Mavrakis

A relativistic formalism for relating the the energies of the states of three scalar particles in finite volume to infinite volume scattering amplitudes has recently been developed. This formalism has been used to predict the energy of the…

High Energy Physics - Lattice · Physics 2018-10-23 Stephen R. Sharpe

In this paper we study a class of semilinear wave type equations with viscoelastic damping and delay feedback with time variable coefficient. By combining semigroup arguments, careful energy estimates and an iterative approach we are able…

Analysis of PDEs · Mathematics 2020-09-17 Alessandro Paolucci , Cristina Pignotti

The formalism of linear response theory for a Skyrme functional including spin-orbit and tensor terms is generalized to the case of infinite nuclear matter with arbitrary isospin asymmetry. Response functions are obtained by solving an…

Nuclear Theory · Physics 2015-06-18 D. Davesne , A. Pastore , J. Navarro

We compute from chiral two- and three-nucleon interactions the energy per particle of symmetric nuclear matter and pure neutron matter at third-order in perturbation theory including self-consistent second-order single-particle energies.…

Nuclear Theory · Physics 2017-04-05 J. W. Holt , N. Kaiser

We propose a class of variational wave functions with slow variation in spin and charge density and simple vortex structure at infinity, which properly generalize both the Laughlin quasiparticles and baby Skyrmions. We argue that the spin…

Condensed Matter · Physics 2009-10-28 Chetan Nayak , Frank Wilczek

The semiclassical limit of a 4-simplex amplitude for a spin foam quantum gravity model with an Immirzi parameter is studied. If the boundary state represents a non-degenerate 4-simplex geometry, the asymptotic formula contains the Regge…

General Relativity and Quantum Cosmology · Physics 2010-01-15 John W. Barrett , R. J. Dowdall , Winston J. Fairbairn , Henrique Gomes , Frank Hellmann

We present predictions for the neutron matter equation of state, from leading to fourth order of chiral effective field theory, using recently developed, accurate chiral nucleon-nucleon potentials. We find the impact of subleading…

Nuclear Theory · Physics 2021-09-15 Francesca Sammarruca , Randy Millerson

The explicit semiclassical treatment of the logarithmic perturbation theory for the bound-state problem of the radial Shrodinger equation with the screened Coulomb potential is developed. Based upon h-expansions and new quantization…

Quantum Physics · Physics 2007-05-23 I. V. Dobrovolska , R. S. Tutik

We reconsider the Euler-Lagrange equation for the Skyrme model in the hedgehog ansatz and study the analytical properties of the solitonic solution. In view of the lack of a closed form solution to the problem, we work on approximate…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. Ponciano , L. N. Epele , H. Fanchiotti , C. A. Garcia Canal

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch
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