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In this work we apply Thompson's method (of the dimensions and scales) to study some features of the Quantum Electro and Chromodynamics. This heuristic method can be considered as a simple and alternative way to the Renormalisation Group…

High Energy Physics - Phenomenology · Physics 2015-06-25 Claudio Nassif , P. R. Silva

The ever-growing intersection of quantum electrodynamics (QED) and molecular processes has shown remarkable and unanticipated advancements in altering molecular properties and reactivity by exploiting light-matter couplings. In recent…

Chemical Physics · Physics 2023-11-09 Xinyang Li , Yu Zhang

In our work we construct a Hamiltonian, whose eigenstates approximate the solutions of the self-consistent Hartree-Fock equations for nonrelativistic atoms and ions. Its eigenvalues are given by completely algebraic expressions and the…

Quantum Physics · Physics 2025-06-18 N. Q. San , O. D. Skoromnik , V. V. Triguk , I. D. Feranchuk

We build up a consistent theory of quantum electrodynamics in the presence of macroscopic polarizable media. We use the Huttner-Barnett model of a dispersive and absorbing dielectric medium and formulate the theory in terms of interacting…

Quantum Physics · Physics 2012-08-17 Claudia Eberlein , Robert Zietal

The quantum electrodynamics in presence of background external fields is developed. Modern methods of local quantum physics allow to formulate the theory on arbitrarily strong possibly time-dependent external fields. Non-linear observables…

High Energy Physics - Theory · Physics 2009-09-29 P. Marecki

This chapter discusses contemporary quantum chemical methods and provides general insights into modern electronic structure theory with a focus on heavy-element-containing compounds. We first give a short overview of relativistic…

Chemical Physics · Physics 2020-02-18 Aleksandra Leszczyk , Paweł Tecmer , Katharina Boguslawski

A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent…

General Physics · Physics 2012-08-28 J. M. Greben

We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present…

Mathematical Physics · Physics 2023-06-27 Timothée Audinet , Julien Toulouse

A comprehensive theoretical understanding of electron-photon correlation is essential for describing the reshaping of molecular orbitals in quantum electrodynamics (QED) environments. The strong coupling QED Hartree-Fock (SC-QED-HF) theory…

Chemical Physics · Physics 2024-09-04 Yassir El Moutaoukal , Rosario R. Riso , Matteo Castagnola , Henrik Koch

A quantum kinetic theory for correlated charged-particle systems in strong time-dependent electromagnetic fields is developed. Our approach is based on a systematic gauge-invariant nonequilibrium Green's functions formulation. We…

Strongly Correlated Electrons · Physics 2017-08-23 M. Bonitz , Th Bornath , D. Kremp , H. Haberland , M. Schlanges , P. Hilse

In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is self-adjoint; (2) under the infrared regularity condition, the Hamiltonian has a unique ground…

Mathematical Physics · Physics 2015-05-13 Toshimitsu Takaesu

In the near future, material and drug design may be aided by quantum computer assisted simulations. These have the potential to target chemical systems intractable by the most powerful classical computers. However, the resources offered by…

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis…

In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a…

High Energy Physics - Theory · Physics 2016-06-29 Apollo V. Silva , E. M. C. Abreu , M. J. Neves

By analyzing the many-body problem for non-relativistic electrons strongly coupled to photon modes of a microcavity I derive the exact momentum/force balance equation for cavity quantum electrodynamics. Implications of this equation for the…

Mesoscale and Nanoscale Physics · Physics 2018-12-14 I. V. Tokatly

We present a very brief description of the Hartree-Fock method in nuclear structure physics, discuss the numerical methods used to solve the self-consistent equations, and analyze the precision and convergence properties of solutions. As an…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski

Quantum Optimal Control Theory (QOCT) provides the necessary tools to theoretically design driving fields capable of controlling a quantum system towards a given state or along a prescribed path in Hilbert space. This theory must be…

Atomic and Molecular Clusters · Physics 2013-05-30 Alberto Castro , Jan Werschnik , Eberhard K. U. Gross

In the Hamiltonian formulation, Quantum Field Theory calculations scale exponentially with spatial volume, making real-time simulations intractable on classical computers and motivating quantum computation approaches. In Hamiltonian…

High Energy Physics - Lattice · Physics 2025-11-03 Zong-Gang Mou , Bipasha Chakraborty

A mathematically well-defined, manifestly covariant theory of classical and quantum field is given, based on Euclidean Poisson algebras and a generalization of the Ehrenfest equation, which implies the stationary action principle. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arnold Neumaier