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A particle with spin 1/2 is investigated both in expanding and oscillating cosmological de Sitter models. It is shown that these space-time geometries admit existence of the non-relativistic limit in the covariant Dirac equation. Procedure…

Quantum Physics · Physics 2015-01-13 E. M. Ovsiyuk , K. V. Kazmerchuk

We study the resonance fluorescence properties of an optically active spin 1/2 system, elucidating the effects of a magnetic field on the coherence of the scattered light. We derive a master equation model for this system that reproduces…

A two-temperature linear spin model is presented that allows an easily understandable introduction to non-equilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic non-equilibrium models…

Statistical Mechanics · Physics 2009-11-13 I. Mazilu , H. T. Williams

We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.

Differential Geometry · Mathematics 2008-06-09 M. Crampin , T. Mestdag

Spectral densities are computed in unprecedented detail for quantum antiferromagnetic spin 1/2 two-leg ladders. These results were obtained due to a major methodical advance achieved by optimally chosen unitary transformations. The approach…

Strongly Correlated Electrons · Physics 2009-11-07 C. Knetter , K. P. Schmidt , M. Grüninger , G. S. Uhrig

We study the time evolution of the reduced density matrix of a system of spin-1/2 particles interacting with an environment of spin-1/2 particles. The initial state of the composite system is taken to be a product state of a pure state of…

We review the literature on the Pauli equation and its current density, discussing the progression from the original phenomenological version of Pauli to its derivation by $\text{L\'{e}vy-Leblond}$ from a linearization of the…

Quantum Physics · Physics 2020-04-28 James M. Wilkes

We introduce a nonsymmetric real matrix which contains all the information that the usual Hermitian density matrix does, and which has exactly the same tensor product structure. The properties of this matrix are analyzed in detail in the…

Quantum Physics · Physics 2007-05-23 Timothy F. Havel

The spin polarization (P) of high-density InSb two-dimensional electron systems (2DESs) has been measured using both parallel and tilted magnetic fields. P is found to exhibit a superlinear increase with the total field B. This P-B…

Strongly Correlated Electrons · Physics 2011-08-18 K. F. Yang , H. W. Liu , T. D. Mishima , M. B. Santos , K. Nagase , Y. Hirayama

Quasi-classical picture of motion of spin 1/2 massless particle in a curved spacetime is built on base of simple Lagrangian model. The one is constructed due to analogy with Lagrangian of massive spin 1/2 particle. Equations of motion and…

General Relativity and Quantum Cosmology · Physics 2008-02-19 A. T. Muminov

The possibility that a short-range interacting system exhibits nonadditivity is investigated. After the discussion on the precise definition of additivity and its consequence, we show that it is possible when the system is in a…

Statistical Mechanics · Physics 2015-06-19 Takashi Mori

Driven many-body quantum systems where some parameter in the Hamiltonian is varied quasiperiodically in time may exhibit nonequilibrium steady states that are qualitatively different from their periodically driven counterparts. Here we…

Strongly Correlated Electrons · Physics 2018-12-27 Sourav Nandy , Arnab Sen , Diptiman Sen

This paper is devoted to the construction of exponential integrators of first and second order for the time discretization of constrained parabolic systems. For this extend, we combine well-known exponential integrators for unconstrained…

Numerical Analysis · Mathematics 2019-07-08 Robert Altmann , Christoph Zimmer

The study deals with a rotor-stator contact inducing vibration in rotating machinery. A numerical rotor-stator system, including a non-linear bearing with Hertz contact and clearance is considered. To determine the non-linear responses of…

General Physics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez

We study the mapping between time-dependent densities and potentials for noninteracting electronic systems on lattices. As discovered recently by Baer [J. Chem. Phys. 128, 044103 (2008)], there exist well-behaved time-dependent density…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yonghui Li , C. A. Ullrich

One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed…

Mathematical Physics · Physics 2007-05-23 J. Beckers , N. Debergh , A. G. Nikitin

We consider the spin response of a normal Fermi liquid with noncentral interactions under conditions intermediate between the collisionless and hydrodynamic regimes. This problem is of importance for calculations of neutrino properties in…

Nuclear Theory · Physics 2013-05-29 C. J. Pethick , A. Schwenk

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

Numerical time evolution of transport states using time dependent Density Matrix Renormalization Group (td-DMRG) methods has turned out to be a powerful tool to calculate the linear and finite bias conductance of interacting impurity…

Strongly Correlated Electrons · Physics 2010-04-26 Alexander Branschädel , Guenter Schneider , Peter Schmitteckert

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with…

Quantum Physics · Physics 2018-06-29 Rémy Dubertrand , Alexandre Cesa , John Martin