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The (group and spin space) matrix Hamiltonian describing the dynamics of a nonrelativistic spin 1/2 particle moving in a static, but spatially dependent, non-Abelian magnetic field in two spatial dimensions is shown to take the form of an…

High Energy Physics - Phenomenology · Physics 2011-07-28 T. E. Clark , S. T. Love , S. R. Nowling

Using a similarity Hamiltonian renormalization procedure, we determine an effective spin-1/2 representation of the Bose-Hubbard model at half-integer filling and at a finite on-site interaction energy U. By means of bosonization, we are…

Strongly Correlated Electrons · Physics 2013-01-08 Domenico Giuliano , Davide Rossini , Pasquale Sodano , Andrea Trombettoni

This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field…

Mathematical Physics · Physics 2007-05-23 Volker Bach , Thomas Chen , Juerg Froehlich , Israel Michael Sigal

We study the mass of the ground state of Qqq system using differents regularization schemes of the relativistic integral equation obtnaide with a flavor independente contact interaction in a QCD-inspired model. We calculated the masses of…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. F. Suisso , J. P. B. C. de Melo , Tobias Frederico

Emerging possibilities for creating and studying novel plasma regimes, e.g. relativistic plasmas and dense systems, in a controlled laboratory environment also requires new modeling tools for such systems. This brings motivation for…

Quantum Physics · Physics 2015-05-30 F. A. Asenjo , J. Zamanian , M. Marklund , G. Brodin , P. Johansson

A negative effective mass can be realized in quantum systems by engineering the dispersion relation. A powerful method is provided by spin-orbit coupling, which is currently at the center of intense research efforts. Here we measure an…

A new, relativistically covariant, massive Lorentz Electrodynamics (LED) is presented in which the bare particle has a finite positive bare rest mass and moment of inertia. The particle's electromagnetic self-interaction renormalizes its…

Mathematical Physics · Physics 2009-10-31 Walter Appel , Michael K. -H. Kiessling

The momentum and isospin dependence of the in-medium nucleon mass are studied. Two definitions of the effective mass, i.e. the Dirac mass $m^*_D$ and the nonrelativistic mass $m^*_{NR}$ which parameterizes the energy spectrum, are compared.…

Nuclear Theory · Physics 2009-11-11 E. N. E. van Dalen , C. Fuchs , Amand Faessler

We measure the effective mass (m*) of interacting two-dimensional electrons confined to an AlAs quantum well while we change the conduction-band valley occupation and the spin polarization via the application of strain and magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Gokmen , Medini Padmanabhan , M. Shayegan

The massless fermion limit of QED is discussed. For on-shell renormalisation the high energy behaviour fixes no lower limit on the mass of the lightest fermion if the fine structure constant $\alpha$ is allowed to vary. The choice of an…

High Energy Physics - Phenomenology · Physics 2016-12-28 J. H. Field

The suitability of using non-relativistic quantum mechanics to investigate heavy quark mesons is illustrated through a study of the charmonium meson. We consider a limiting form of the QCD potential which is a simple combination of the…

High Energy Physics - Phenomenology · Physics 2021-03-05 Chandrashekar Radhakrishnan

We consider a lattice regularization, preserving Ward Identities (WI) and with a Wilson term, of the Massive QED$_2$, describing a fermion with mass $m$ and charge $\mathsf{e}$ interacting with a vector field with mass $M$, in the regime…

Mathematical Physics · Physics 2026-02-05 Simone Fabbri , Vieri Mastropietro , Bruno Renzi

Electrons interact strongly with their environment. The result of these interactions is, most of the time, encoded in an effective mass. In non-relativistic systems, as in condensed matter, the electrons plus interactions form a…

Strongly Correlated Electrons · Physics 2021-06-16 Heron Caldas

This work aims to reproduce a quantum system composed of a charged spin - $1/2$ fermion interacting with a dyon with an opposite electrical charge (charge-dyon system), utilizing a position-dependent effective mass (PDM) background in the…

Quantum Physics · Physics 2020-11-03 Anderson L. de Jesus , Alexandre G. M. Schmidt

We consider the dynamics of a spin-1/2 particle constrained to move in an arbitrary space curve with an external electric and magnetic field applied. With the aid of gauge theory, we successfully decouple the tangential and normal dynamics…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Guo-Hua Liang , Yong-Long Wang , Meng-Yun Lai , Hao Zhao , Hong-Shi Zong , Hui Liu

We consider a spin-balanced degenerate gas of spin-1/2 fermions whose dynamics is governed by low-energy $P$-wave interactions, characterized by the scattering volume $a_1$ and effective momentum $r_1$. The energy per particle…

Quantum Gases · Physics 2022-12-02 J. M. Alarcón , J. A. Oller

We present a fully non-perturbative computation of the mass of the b-quark in the quenched approximation. Our strategy starts from the matching of HQET to QCD in a finite volume and finally relates the quark mass to the spin averaged mass…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michele Della Morte , Nicolas Garron , Mauro Papinutto , Rainer Sommer

In this paper, we consider some second-order effective Hamiltonians describing the interaction of the quantum electromagnetic field with atoms or molecules in the nonrelativistic limit. Our procedure is valid only for off-energy-shell…

Quantum Physics · Physics 2021-12-13 Roberto Passante , Lucia Rizzuto

Quantum ergodicity, which expresses the semiclassical convergence of almost all expectation values of observables in eigenstates of the quantum Hamiltonian to the corresponding classical microcanonical average, is proven for…

Mathematical Physics · Physics 2009-10-31 Jens Bolte , Rainer Glaser

The effective mass at the Fermi level is measured in the strongly interacting two-dimensional (2D) electron system in ultra-clean SiGe/Si/SiGe quantum wells in the low-temperature limit in tilted magnetic fields. At low electron densities,…

Mesoscale and Nanoscale Physics · Physics 2023-10-16 M. Yu. Melnikov , A. A. Shakirov , A. A. Shashkin , S. -H. Huang , C. W. Liu , S. V. Kravchenko