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Molecular simulations generally require fermionic encoding in which fermion statistics are encoded into the qubit representation of the wave function. Recent calculations suggest that fermionic encoding of the wave function can be bypassed,…

Quantum Physics · Physics 2022-04-18 David A. Mazziotti , Scott E. Smart , Alexander R. Mazziotti

The problem of random motion of 1D quantum reactive harmonic oscillator (QRHO) is formulated in terms of a wave functional regarded as a complex probability process in an extended space. In the complex stochastic differential equation (SDE)…

Quantum Physics · Physics 2007-05-23 A. V. Bogdanov , A. S. Gevorkyan

Electronic structure methods for accurate calculation of molecular properties have a high cost that grows steeply with the problem size, therefore, it is helpful to have the underlying atomic basis functions that are less in number but of…

Chemical Physics · Physics 2019-03-15 Dimitri N. Laikov

We consider electromagnetic finite-volume effects through order $1/L^3$ in different formulations of QED, where $L$ is the periodicity of the spatial volume. An inherent problem at this order is the appearance of structure-dependent…

High Energy Physics - Lattice · Physics 2023-10-23 Matteo Di Carlo , Maxwell T. Hansen , Nils Hermansson-Truedsson , Antonin Portelli

We study QED corrections to operator matrix elements involving heavy composite particles (e.g., heavy-mesons, nuclei, and atoms). We define a new notion of reducible and irreducible graphs which is useful for systems with many discrete…

High Energy Physics - Phenomenology · Physics 2025-09-19 Ryan Plestid , Mark B. Wise

We calculate nuclear enhanced power corrections to structure functions measured in deeply inelastic lepton-nucleus scattering in Quantum Chromodynamics (QCD). We find that the nuclear medium enhanced power corrections at order of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Xiaofeng Guo , Jianwei Qiu , Wei Zhu

In this paper we explicate a method of quantum hydrodynamics (QHD) for the study of the quantum evolution of a system of polarized particles. Though we focused primarily on the two-dimension physical systems, the method is valid for…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 P. A. Andreev , L. S. Kuzmenkov , M. I. Trukhanova

Electromagnetic effects are increasingly being accounted for in lattice quantum chromodynamics computations. Because of their long-range nature, they lead to large finite-size effects over which it is important to gain analytical control.…

High Energy Physics - Lattice · Physics 2016-03-23 Z. Fodor , C. Hoelbling , S. D. Katz , L. Lellouch , A. Portelli , K. K. Szabo , B. C. Toth

While causal perturbation theory and lattice regularisation allow treatment of the ultraviolet divergences in qed, they do not resolve the issues of constructive field theory, or show the validity of qed except as a perturbation theory. I…

General Relativity and Quantum Cosmology · Physics 2014-10-30 Charles Francis

The hydrogen molecule has become a test ground for quantum electrodynamical calculations in molecules. Expanding beyond studies on stable hydrogenic species to the heavier radioactive tritium-bearing molecules, we report on a measurement of…

Chemical Physics · Physics 2018-04-25 T. Madhu Trivikram , M. Schlösser , W. Ubachs , E. J. Salumbides

We provide a unified method for obtaining upper bounds for certain functional integrals appearing in quantum mechanics and non-relativistic quantum field theory, functionals of the form $E\left[\exp(A_T)\right]$, the (effective) action…

Mathematical Physics · Physics 2015-12-29 Gonzalo A. Bley , Lawrence E. Thomas

We calculate the QED corrections to deep inelastic scattering with tagged photons at HERA in the leading logarithmic approximation. Due to the special experimental setup, two large scales appear in the calculation that lead to two large…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Anlauf , A. B. Arbuzov , E. A. Kuraev , N. P. Merenkov

Closed analytical formulas are derived for the differential and total cross sections of the non-relativistic photoelectric effect in the three main classes of few-electron atomic systems: (1) neutral atoms and positively charged atomic ions…

Atomic Physics · Physics 2022-09-28 Alexei M. Frolov

Vacuum polarisation (VP) and electron self energy (SE) are implemented and evaluated as quantum electrodynamic (QED) corrections in a (quasi-relativistic) two-component zeroth order regular approximation (ZORA) framework. For VP, the…

We discuss a method of solving the time dependent Schrodinger equation for atoms with two active electrons in a strong laser field, which we used in a previous paper [A. Scrinzi and B. Piraux, Phys. Rev. A 56, R13 (1997)] to calculate…

Atomic Physics · Physics 2014-05-19 Armin Scrinzi , Bernard Piraux

Many-body techniques for the calculation of quasielastic nuclear matter response functions in the fully antisymmetrized random phase approximation on a Hartree-Fock basis are discussed in detail. The methods presented here allow for an…

Nuclear Theory · Physics 2009-10-31 A. De Pace

We give here a field-theoretical derivation of the Hamiltonian of the non-relativistic quantum electrodynamics in the Coulomb gauge using the Lagrange formalism. It leads to the same result as the usual derivation, where one just replaces…

Quantum Physics · Physics 2019-07-31 Ladislaus Alexander Banyai , Mircea Bundaru

The combination of the configuration interaction method and all-order single-double coupled-cluster technique is used to calculate excitation energies, ionization potentials and static dipole polarizabilities of superheavy elements…

Atomic Physics · Physics 2015-06-19 V. A. Dzuba , M. S. Safronova , U. I. Safronova

Canonically, the quantum electrodynamic radiative corrections in bound systems have been evaluated in photon energy regularization, i. e. using a noncovariant overlapping parameter that separates the high-energy relativistic scales of the…

High Energy Physics - Phenomenology · Physics 2013-09-10 B. J. Wundt , U. D. Jentschura

A method for calculating the electronic levels in the compact superheavy nuclear quasi-molecules, based on solving the two-center Dirac equation using the multipole expansion of two-center potential, is developed. For the internuclear…

Atomic Physics · Physics 2018-01-18 A. A. Roenko , K. A. Sveshnikov