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We derive a formalism, the separation method, for the efficient and accurate calculation of two-body matrix elements for a Gaussian potential in the cylindrical harmonic-oscillator basis. This formalism is of critical importance for…

Nuclear Theory · Physics 2010-11-02 W. Younes

A consistent analytical approach for calculation of the quasiclassical radial dipole matrix elements in the momentum and coordinate representations is presented. Very simple but relatively precise expressions for the matrix elements are…

Atomic Physics · Physics 2008-02-03 B. Kaulakys

A quasiclassical correspondent for the fermion degrees of freedom is obtained by using a time-dependent variational principle with Grassmann coherent states as trial functions. In the real parametrization provided by the canonical…

Statistical Mechanics · Physics 2009-11-07 M. Grigorescu , W. E. Baylis

A linked cluster expansion for the calculation of ground state observables of complex nuclei with realistic interactions has been used to calculate the ground state energy, density and momentum distribution of 16O and 40Ca. Using the same…

Nuclear Theory · Physics 2007-05-23 M. Alvioli , C. Ciofi degli Atti , H. Morita

A closed (in terms of classical data) expression for a transition amplitude between two generalized coherent states associated with a semisimple Lee algebra underlying the system is derived for large values of the representation highest…

Quantum Physics · Physics 2007-05-23 E. A. Kochetov

We present an extension of the spin-adapted configuration-interaction method for the computation of four electrons in a quasi two-dimensional quantum dot. By a group-theoretical decomposition of the basis set and working with relative and…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Peter Kramer , Tobias Kramer

We present a simple method to deal with caustics in the semiclassical approximation to the thermal density matrix of a particle moving on the line. For simplicity, only its diagonal elements are considered. The only ingredient we require is…

Quantum Physics · Physics 2009-11-07 C. A. A. de Carvalho , R. M. Cavalcanti , E. S. Fraga , S. E. Joras

Scattering problems are the classical tools for modeling of light-matter interaction. In this paper, we investigate the solution of the dipole scattering problem under different incident radiation.s In particular, we compare the two cases…

Optics · Physics 2024-10-22 Yuriy A. Akimov

We present a real-time propagation method for computing linear and nonlinear optical properties of molecules based on the Bethe-Salpeter equation. The method follows the time evolution of the one-particle density matrix under an external…

Computational Physics · Physics 2025-09-29 Štěpán Marek , Jan Wilhelm

Drachmann's regularization approach is implemented for floating explicitly correlated Gaussians (fECGs) and molecular systems. Earlier applications of drachmannized relativistic corrections for molecular systems were hindered due to the…

Chemical Physics · Physics 2024-06-11 Balázs Rácsai , Dávid Ferenc , Ádám Margócsy , Edit Mátyus

A time dependent variational principle is used to dequantize a second order quadrupole boson Hamiltonian. The classical equations for the generalized coordinate and the constraint for angular momentum are quantized and then analytically…

Nuclear Theory · Physics 2015-03-14 A. A. Raduta , R. Budaca , Amand Faessler

We derive an effective classical model to describe the Mott transition of the half-filled one-band Hubbard model in the framework of the dynamical mean-field theory with hybridization expansion of the continuous time quantum Monte Carlo. We…

Strongly Correlated Electrons · Physics 2020-02-19 Danqing Hu , Jian-Jun Dong , Li Huang , Lei Wang , Yi-feng Yang

We present numerical methods to solve the Generalized Hartree-Fock theory for fermionic systems in lattices, both in thermal equilibrium and out of equilibrium. Specifically, we show how to determine the covariance matrix corresponding to…

Quantum Physics · Physics 2013-04-10 Christina V. Kraus , J. Ignacio Cirac

We analyse the Gaussian wave packet transform. Based on the Fourier inversion formula and a partition of unity, which is formed by a collection of Gaussian basis functions, a new representation of square-integrable functions is presented.…

Numerical Analysis · Mathematics 2023-06-14 Paul Bergold , Caroline Lasser

If the gravitino is light and all the other supersymmetric particles are heavy, we can consider the effective theory describing the interactions of its goldstino components with ordinary matter. To discuss the model-dependence of these…

High Energy Physics - Theory · Physics 2014-11-18 Andrea Brignole , Ferruccio Feruglio , Fabio Zwirner

We give a detailed treatment of the back-reaction effects on the Hawking spectrum in the semiclassical approach to the Hawking radiation. We solve the exact system of non linear equations giving the action of the system, by a rigorously…

High Energy Physics - Theory · Physics 2013-02-20 Pietro Menotti

A quasi classical approximation to quantum mechanical scattering in the Moeller formalism is developed. While keeping the numerical advantage of a standard Classical--Trajectory--Monte--Carlo calculation, our approach is no longer…

Atomic Physics · Physics 2009-11-07 Tihamer Geyer , Jan M. Rost

We propose efficient algorithms for classically simulating fermionic linear optics operations applied to non-Gaussian initial states. By gadget constructions, this provides algorithms for fermionic linear optics with non-Gaussian…

Quantum Physics · Physics 2024-05-22 Beatriz Dias , Robert Koenig

Two semi-analytical approaches to solve the problem of light scattering on nanowire antennas are developed and compared. The derivation is based on the exact solution of the plane wave scattering problem in case of an infinite cylinder. The…

Optics · Physics 2015-05-27 Christian Kremers , Dmitry N. Chigrin

In the present letter, it is demonstrated how full configuration interaction (FCI) results in extended basis sets may be obtained to within sub-kJ/mol accuracy by decomposing the energy in terms of many-body expansions in the virtual…

Chemical Physics · Physics 2017-09-15 Janus J. Eriksen , Filippo Lipparini , Jürgen Gauss