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Approximate analytical energy formulas for N-body relativistic Hamiltonians with one- and two-body interactions are obtained within the framework of the auxiliary field method. This method has already been proved to be a powerful technique…

Mathematical Physics · Physics 2014-11-20 Bernard Silvestre-Brac , Claude Semay , Fabien Buisseret , Fabian Brau

We demonstrate that quantum Hamiltonian operator for a free transverse field within the framework of the second quantization reveals an alternative set of states satisfying the eigenstate functional equations. The construction is based upon…

Mathematical Physics · Physics 2015-12-15 T. A. Bolokhov

Quantum computation is one of the most promising new paradigms for the simulation of physical systems composed of electrons and atomic nuclei, with applications in chemistry, solid-state physics, materials science, and molecular biology.…

Quantum Physics · Physics 2024-11-05 Jakob Günther , Alberto Baiardi , Markus Reiher , Matthias Christandl

A transport model is developed to describe hadron emission from a strongly coupled quark-gluon plasma formed in relativistic heavy ion collisions. The quark-gluon plasma is controlled by ideal hydrodynamics, and the hadron motion is…

Nuclear Theory · Physics 2008-11-26 Hong Miao , Chongshou Gao , Pengfei Zhuang

The general tensorial form of the orbit-orbit interaction operator in the formalism of second quantization is presented. Such an expression is needed to calculate both diagonal and off-diagonal matrix elements with respect to…

Atomic Physics · Physics 2007-05-23 G. Gaigalas

The string melting version of a multi-phase transport model is often applied to high-energy heavy-ion collisions since the dense matter thus formed is expected to be in parton degrees of freedom. In this work we improve its quark…

Nuclear Theory · Physics 2017-07-26 Yuncun He , Zi-Wei Lin

A general method to derive the diagonal representation for a generic matrix valued quantum Hamiltonian is proposed. In this approach new mathematical objects like non-commuting operators evolving with the Planck constant promoted as a…

Mathematical Physics · Physics 2009-11-10 Pierre Gosselin , Herve Mohrbach

Extending the concepts of light-front field theory to quantum statistics provides a novel approach towards nuclear matter under extreme conditions. Such conditions exist, e.g., in neutron stars or in the early stage of our universe. They…

Nuclear Theory · Physics 2009-11-10 Michael Beyer

In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an…

High Energy Physics - Theory · Physics 2012-09-28 Gaetano Fiore

Light-front Hamiltonian dynamics is used to relate low-energy constituent quark models to deep inelastic unpolarized structure functions of the nucleon. The approach incorporates the correct Pauli principle prescription consistently and it…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. Pasquini , M. Traini , S. Boffi

The application of quark models to the spectra and strong and electromagnetic couplings of baryons is reviewed. This review focuses on calculations which attempt a global description of the masses and decay properties of baryons, although…

Nuclear Theory · Physics 2008-11-26 Simon Capstick , W. Roberts

The light-cone Fock representation encodes the bound-state quark and gluon properties of hadrons, including their helicity and flavor correlations, in terms of universal process-independent and frame-independent wavefunctions. It also…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

It may be possible to derive a constituent approximation for bound states in QCD using hamiltonian light-front field theory. Cutoffs that violate explicit gauge invariance and Lorentz covariance must be employed. A similarity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Perry

In this review we give a perspective of the theoretical work done recently on the interpretation of results from $B$, $D$, $\Lambda_b$, $\Lambda_c$ weak decays into final states that contain interacting hadrons, and how it is possible to…

We consider a reformulation of QED in which covariant Green functions are used to solve for the electromagnetic field in terms of the fermion fields. The resulting modified Hamiltonian contains the photon propagator directly. A simple…

High Energy Physics - Phenomenology · Physics 2015-06-25 Andrei G. Terekidi , Jurij W. Darewych

Hadron-quark combustion in dense matter is a central topic in the study of phases in compact stars and their high-energy astrophysics. We critically review the literature on hadron-quark combustion, dividing them into a "first wave" that…

Nuclear Theory · Physics 2019-06-21 Amir Ouyed , Rachid Ouyed , Prashanth Jaikumar

This work presents a pedagogical and self-contained derivation of the first-order effective Hamiltonian for the two-mode Jaynes-Cummings model in the dispersive regime. A perturbative unitary transformation removes nonresonant atom-field…

Quantum Physics · Physics 2026-01-27 Alejandro R. Urzúa

In the context of hard hadronic reactions diquarks are a useful phenomenological device to model non-perturbative effects still observable in the kinematic range accessible by present-day experiments. In the following we present…

High Energy Physics - Phenomenology · Physics 2011-04-15 C. F. Berger , B. Lechner , W. Schweiger

In this work, we present an updated study about the interactions of quarkonia with surrounding hadronic medium. The meson-meson interactions are described with a chiral effective Lagrangian within the framework of unitarized coupled channel…

High Energy Physics - Phenomenology · Physics 2021-05-28 Luciano M. Abreu , Hildeson P. L. Vieira

A general method to construct free quantum fields for massive particles of arbitrary definite spin in a canonical Hamiltonian framework is presented. The main idea of the method is as follows: a multicomponent Klein-Gordon field that…

High Energy Physics - Theory · Physics 2015-01-21 Gabor Zsolt Toth