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A simple method of variational calculations of the electronic structure of a two-electron atom/ion, primarily near the nucleus, is proposed. The method as a whole consists of a standard solution of a generalized matrix eigenvalue equation,…

Atomic Physics · Physics 2024-10-08 Evgeny Z. Liverts

We study thermodynamical properties of a fuzzy sphere in matrix quantum mechanics of the BFSS type including the Chern-Simons term. Various quantities are calculated to all orders in perturbation theory exploiting the one-loop saturation of…

High Energy Physics - Theory · Physics 2009-11-13 Naoyuki Kawahara , Jun Nishimura , Shingo Takeuchi

Using the Bethe ansatz analysis as was reformulated by Edwards, we calculate the spectral properties of a particle interacting with a bath of fermions in one dimension for the case of equal particle-fermion masses. These are directly…

Condensed Matter · Physics 2009-10-22 H. Castella , X. Zotos

The search for the conjectured QCD critical point in heavy-ion collisions requires to account for far-from equilibrium effects as well as fluctuations, and in particular non-Gaussian fluctuations, in the modeling of the dynamics of the hot…

High Energy Physics - Theory · Physics 2025-04-29 Navid Abbasi , Dirk H. Rischke

We theoretically study the many-body effects of electron electron interaction on the single particle spectral function of doped bilayer graphene. Using random phase approximation, we calculate the real and imaginary part of the self-energy…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Rajdeep Sensarma , E. H. Hwang , S. Das Sarma

We apply the finite-element lattice equations of motion for quantum electrodynamics to an examination of anomalies in the current operators. By taking explicit lattice divergences of the vector and axial-vector currents we compute the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dean Miller , Kimball A. Milton , Stephan Siegemund-Broka

In a two-dimensional approximation, the probability density and current for a photoelectron near the localization of a quantum vortex are theoretically investigated. The wave function in the momentum representation, which we found earlier,…

Quantum Physics · Physics 2024-02-08 N. V. Larionov , Yu. L. Kolesnikov

The number state method is used to study soliton bands for three anharmonic quantum lattices: i) The discrete nonlinear Schr\"{o}dinger equation, ii) The Ablowitz-Ladik system, and iii) A fermionic polaron model. Each of these systems is…

High Energy Physics - Theory · Physics 2009-10-28 A. C. Scott , J. C. Eilbeck , H. Gilhøj

We perform an unitary transformation for the symmetric phonon mode of the Holstein molecular crystal hamiltonian. We show how to compute the electronic spectral functions by exact numerical diagonalisation of an effective hamiltonian fully…

Strongly Correlated Electrons · Physics 2008-02-03 J. M. Robin

With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this…

High Energy Physics - Theory · Physics 2009-11-11 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

I discuss a formalism for computing quantum scattering amplitudes using a semiclassical expansion of a functional integral representation for the S-matrix. The classical background for the expansion is determined by solving the equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen D. H. Hsu

The energy levels of two interacting electrons in a 2D quantum dot confined by a finite Gaussian potential and subjected to a uniform magnetic field perpendicular to the plane of the dot are studied. Analytic results are obtained for the…

Mesoscale and Nanoscale Physics · Physics 2021-06-25 S. Chaudhuri

We develop a non-equilibrium quantum field theory of the free-electron laser based on the Preparata model, using the real-time Keldysh formalism. Starting from a microscopic Lagrangian for a relativistic electron beam coupled to a single…

Quantum Physics · Physics 2025-12-08 Loris Di Cairano

Numerical results for the energy spectra of $N$ electrons on a spherical surface are used as input data to determine the quasiparticle energies and the pairwise ``Fermi liquid'' interactions of composite Fermion (CF) excitations in…

Condensed Matter · Physics 2009-10-28 P. Sitko , S. N. Yi , K. S. Yi , J. J. Quinn

The technique of quantum electrodynamics (QED) calculations of energy levels in the helium atom is reviewed. The calculations start with the solution of the Schr\"odinger equation and account for relativistic and QED effects by perturbation…

Atomic Physics · Physics 2021-07-14 Vladimir A. Yerokhin , Vojtech Patkos , Krzysztof Pachucki

We investigate gluon spectral functions at finite temperature in Landau gauge, based on a subset of lattice QCD ensembles with $N_f=2+1+1$ dynamical twisted mass quarks flavors, generated by the tmfT collaboration. Our study uses a novel…

High Energy Physics - Lattice · Physics 2018-04-04 Ernst-Michael Ilgenfritz , Jan M. Pawlowski , Alexander Rothkopf , Anton Trunin

We compute the finite-temperature single-particle spectral function of a one-dimensional Luttinger liquid coupled to an optical phonon band. The calculation is performed exactly for the case in which electron-phonon coupling is purely…

Strongly Correlated Electrons · Physics 2007-05-23 Ian P. Bindloss , Steven A. Kivelson

We study the electromagnetic structure of the pion in terms of the quantum cromodynamic~(QCD) model on the Breit-frame. We calculated the observables, such as the electromagnetic form factor. The priori to have a calculation covariant need…

High Energy Physics - Phenomenology · Physics 2016-05-17 Clayton Santos Mello , J. P. B. C. de Melo , T. Frederico

We analyze the cut-off dependence of mesonic spectral functions calculated at finite temperature on Euclidean lattices with finite temporal extent. In the infinite temperature limit we present analytic results for lattice spectral functions…

High Energy Physics - Lattice · Physics 2009-11-10 F. Karsch , E. Laermann , P. Petreczky , S. Stickan

The energy levels of the ground states of the three-particle and four-particle bound states of leptons in quantum electrodynamics are calculated. For the calculation, the variational method with Gaussian basis functions is used. The…

High Energy Physics - Phenomenology · Physics 2026-03-09 A. V. Eskin , A. P. Martynenko , F. A. Martynenko , D. K. Pometko