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We present the model of a diffusion-absorption process in a system which consists of two media separated by a thin partially permeable membrane. The kind of diffusion as well as the parameters of the process may be different in both media.…

Statistical Mechanics · Physics 2019-02-27 Tadeusz Kosztołowicz

We present an extension of the modular recursive Green's function method (MRGM) for ballistic quantum transport to include magnetic fields. Dividing the non-separable two-dimensional scattering problem into separable substructures allows us…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Rotter , B. Weingartner , N. Rohringer , J. Burgdörfer

The Schrodinger equation for stationary states in a central potential is studied in an arbitrary number of spatial dimensions, say q. After transformation into an equivalent equation, where the coefficient of the first derivative vanishes,…

Quantum Physics · Physics 2007-05-23 Giampiero Esposito

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

We summarize our recently proposed approach to quantum field theory on noncommutative curved spacetimes. We make use of the Drinfel'd twist deformed differential geometry of Julius Wess and his group in order to define an action functional…

High Energy Physics - Theory · Physics 2011-03-24 Alexander Schenkel

Based on a canonical approach and functional-integration techniques, a series expansion of Green's function of a scalar field, in the presence of a medium, is obtained. A series expansion for Lifshitz-energy, in finite-temperature, in terms…

Quantum Physics · Physics 2015-05-20 Fardin Kheirandish , Shahriar Salimi

The Quantum Mechanics of a point particle on a Noncommutative Plane in a magnetic field is implemented in the present work as a deformation of the algebra which defines the Landau levels. I show how to define, in this deformed Quantum…

High Energy Physics - Theory · Physics 2009-11-11 Mauro Riccardi

We develop in detail a new formalism [as a sequel to the work of T. Champel and S. Florens, Phys. Rev. B 75, 245326 (2007)] that is well-suited for treating quantum problems involving slowly-varying potentials at high magnetic fields in…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Thierry Champel , Serge Florens , Léonie Canet

The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As…

High Energy Physics - Lattice · Physics 2020-07-08 Yan Li , Jia-Jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

Strongly Correlated Electrons · Physics 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini

Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

The two-point Green function of the massive scalar $(3+1)$-quantum field theory with $\lambda\phi^4$ interaction at finite temperature is evaluated up to the 2nd order of perturbation theory. The averaging on the vacuum fluctuations is…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij , L. L. Jenkovszky , V. N. Shadura

The gauge invariant quark Green's function with a path-ordered phase factor along a straight-line is studied in two-dimensional QCD in the large-Nc limit by means of an exact integrodifferential equation. Its spectral functions are…

High Energy Physics - Phenomenology · Physics 2010-07-26 H. Sazdjian

A quantum sl(2,R) coalgebra (with deformation parameter z) is shown to underly the construction of superintegrable Kepler potentials on 3D spaces of variable and constant curvature, that include the classical spherical, hyperbolic and…

Mathematical Physics · Physics 2007-05-23 Angel Ballesteros , Francisco J. Herranz

We study theoretically how electrons, coherently injected at one point on the boundary of a two-dimensional electron system, are focused by a perpendicular magnetic field $B$ onto another point on the boundary. Using the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2013-11-28 Thomas Stegmann , Dietrich E. Wolf , Axel Lorke

In this Letter the method of Lund is applied to formulate a variational principle for the motion of charged vortices in an effective non-linear Schr\"{o}dinger field theory describing finite size two-dimensional quantum Hall samples under…

High Energy Physics - Theory · Physics 2009-10-22 Theodore J. Allen

Mathematical analysis of the Anderson localization has been facilitated by the use of suitable fractional moments of the Green function. Related methods permit now a readily accessible derivation of a number of physical manifestations of…

Condensed Matter · Physics 2009-10-28 M. Aizenman , G. M. Graf

Many-particle QED is applied to kinetic theory of radiative processes in many- component plasmas with relativistic electrons and nonrelativistic heavy particles. Within the framework of nonequilibrium Green's function technique, transport…

Plasma Physics · Physics 2015-05-13 V. G. Morozov , G. Roepke

Ground-state and thermodynamical properties of the spin-1/2 two-dimensional easy-plane XXZ model are investigated by both a Green's-function approach and by Lanczos diagonalizations on lattices with up to 36 sites. We calculate the spatial…

Strongly Correlated Electrons · Physics 2024-04-10 H. Fehske , C. Schindelin , A. Weiße , H. Büttner , D. Ihle

The impurity Green function and dynamical susceptibilties for the two-channel Anderson impurity model are calculated. An exact expression for the self-energy of the impurity Green function is derived. The imaginary part of the self-energy…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders