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In order to interpret precise measurements of molecular properties the finite nuclear mass corrections to the Born-Oppenheimer approximation have to be accounted for. It is shown that they can be obtained systematically in the perturbative…

Chemical Physics · Physics 2015-05-14 Krzysztof Pachucki

We calculate the quantum corrections of the thermodynamic quantities of a system of confined Bosons at finite temperature. Systematically quantum corrections are written in a series of $\hbar$, which is convergent when $kT$ is much larger…

Statistical Mechanics · Physics 2009-10-31 Subhasis Sinha

A Hartree-Fock and Hartree-Fock-Bogoliubov study of a few body system of spatially separated charge carriers was carried out. Using these variational states, we compute an approximation to the correlation energy of a finite system of…

Mesoscale and Nanoscale Physics · Physics 2009-11-30 Ian Mondragon-Shem , Francisco E. Lopez , Boris A. Rodriguez

Semilocal exchange-correlation functionals are the most accurate, realistic and widely used ones to describe the complex many-electron effects of two-dimensional quantum systems. Beyond local density approximation, the generalized gradient…

Materials Science · Physics 2017-04-12 Subrata Jana , Prasanjit samal

We propose a general approach to reducing basis set incompleteness error in electron correlation energy calculations. The correction is computed alongside the correlation energy in a single calculation by modifying the electron interaction…

The Born approximation, one photon exchange, used for DIS is subject to virtual radiative corrections which are related to the long-range Coulomb forces. They may be sizeable for heavy nuclei since Z\alpha is not a small parameter. So far…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. Z. Kopeliovich , A. V. Tarasov , O. O. Voskresenskaya

We compute the two photon exchange contributions to elastic scattering of polarized electrons from target protons. We use a nonlocal field theory formalism for this calculation. The formalism maintains gauge invariance and provides a…

High Energy Physics - Phenomenology · Physics 2008-12-18 Pankaj Jain , Satish D. Joglekar , Subhadip Mitra

There is a simple formula for the gauge function of the transformation from the Lorenz gauge to the Coulomb gauge, valid under a condition that is satisfied by some charge densities employed in the literature. An equation for the gauge…

Classical Physics · Physics 2025-04-08 V. Hnizdo , G. Vaman

We discuss the efficient computation of the auxiliary integrals that arise when resolutions of two-electron operators (specifically, the Coulomb and long-range Ewald operators) are employed in quantum chemical calculations. We derive a…

Chemical Physics · Physics 2013-01-10 Taweetham Limpanuparb , Joshua W. Hollett , Peter M. W. Gill

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

Guiding by the relativistic local density approximation, we explore a phenomenological formula for the coupling strength of Coulomb field to take into account the Coulomb exchange term effectively in the relativistic Hartree approximation.…

Nuclear Theory · Physics 2013-05-27 Z. M. Niu , Q. Liu , Y. F. Niu , W. H. Long , J. Y. Guo

We report a significant improvement of an approximate method of including electron Coulomb distortion in electron induced reactions at momentum transfers greater than the inverse of the size of the target nucleus. In particular, we have…

Nuclear Theory · Physics 2009-10-31 K. S. Kim , L. E. Wright

We extend the Exchange Fluctuation Theorem for energy exchange between thermal quantum systems beyond the assumption of molecular chaos, and describe the non-equilibrium exchange dynamics of correlated quantum states. The relation…

Quantum Physics · Physics 2015-10-14 Sania Jevtic , David Jennings , Terry Rudolph , Yuji Hirono , Shojun Nakayama , Mio Murao

It was shown that tunneling current flowing through a system with Coulomb correlations leads to charge redistribution between the different localized states. Simple model consisting of two electron levels have been analyzed by means of…

Other Condensed Matter · Physics 2012-07-02 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

The relativistic corrections for the Dirac-Coulomb system are derived through the method of non-relativistic expansion. By expanding the large and small components of the Dirac wave function and the energy eigenvalues in terms of the square…

Atomic Physics · Physics 2024-12-03 Wanping Zhou , Sanjiang Yang , Haoxue Qiao

Corrector estimates constitute a key ingredient in the derivation of optimal convergence rates via two-scale expansion techniques in homogenization theory of random uniformly elliptic equations. The present work follows up - in terms of…

Analysis of PDEs · Mathematics 2020-12-10 Sebastian Hensel

The limitations of the recently proposed new method of numerical modelling of Bose-Einstein correlations (BEC) are explicitly demonstrated. It is then argued that BEC should still be considered as emerging from the correlations of…

High Energy Physics - Phenomenology · Physics 2017-08-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Recent experimental studies of Bose-Einstein Correlations in Z fragmentation are reviewed in view of the need to understand their apparent suppression for pions originating from different W's. Particular features discussed are source…

High Energy Physics - Phenomenology · Physics 2014-11-17 Wolfram Kittel

In this article we introduce a differential equation for the first order correlation function $G^{(1)}$ of a Bose-Einstein condensate at T=0. The Bogoliubov approximation is used. Our approach points out directly the dependence on the…

Condensed Matter · Physics 2009-11-07 A. Montina , E. Arimondo

We explore exchange coupling of a pair of spins in a double dot and in an optical lattice. Our algorithm uses the frequency of exchanges in a bosonic path integral, evaluated with Monte Carlo. This algorithm is simple enough to be a "black…

Strongly Correlated Electrons · Physics 2010-07-27 Lei Zhang , Matthew Gilbert , Jesper Pedersen , John Shumway
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