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We investigate in the equal-time formalism the derivation and truncation of infinite hierarchies of equations of motion for the energy moments of the covariant Wigner function. From these hierarchies we then extract kinetic equations for…

高能物理 - 唯象学 · 物理学 2009-10-09 Pengfei Zhuang , Ulrich Heinz

The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is…

量子物理 · 物理学 2009-11-10 Constantin V. Usenko

A gauge-invariant Wigner quantum mechanical theory is obtained by applying the Weyl-Stratonovich transform to the von Neumann equation for the density matrix. The transform reduces to the Weyl transform in the electrostatic limit, when the…

数学物理 · 物理学 2022-11-24 Mihail Nedjalkov , Mauro Ballicchia , Robert Kosik , Josef Weinbub

We present a quantum theory of the shuttle instability in electronic transport through a nanostructure with a mechanical degree of freedom. A phase space formulation in terms of the Wigner function allows us to identify a cross-over from…

介观与纳米尺度物理 · 物理学 2009-11-10 Tomas Novotny , Andrea Donarini , Antti-Pekka Jauho

A quasi-distribution function in phase space (based on Wigner functions) is used to write down the quantum version of Boltzmann equation (Wigner-Boltzmann transport equation). The relaxation time approximation is show to be a good approach…

统计力学 · 物理学 2015-12-21 Aldo R. Fernandes Nt

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

介观与纳米尺度物理 · 物理学 2013-08-09 Christian Wickles , Wolfgang Belzig

We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

高能物理 - 唯象学 · 物理学 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

量子物理 · 物理学 2009-10-30 M. S. Marinov , Bilha Segev

The recently proposed Wigner function for a particle in an infinite lattice [NJP 14, 103009 (2012)] is extended here to include an internal degree of freedom, as spin. The formalism is developed to account for dynamical processes, with or…

量子物理 · 物理学 2015-01-26 M. Hinarejos , M. C. Bañuls , A. Pérez

We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on any other…

统计力学 · 物理学 2007-05-23 Robin Steinigeweg , Jochen Gemmer , Mathias Michel

We discuss the transport of matter waves in low-dimensional waveguides. Due to scattering from uncontrollable noise fields, the spatial coherence gets reduced and eventually lost. We develop a description of this decoherence process in…

原子物理 · 物理学 2021-08-06 C. Henkel

We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter. We derive the equal-time transport and constraint equations for the quark Wigner function in a magnetized quark model and…

高能物理 - 理论 · 物理学 2019-03-29 Shijun Mao , Dirk H. Rischke

A gauge-invariant Wigner quasi-distribution function for charged particles in classical electromagnetic fields is derived in a rigorous way. Its relation to the axial gauge is discussed, as well as the relation between the kinetic and…

凝聚态物理 · 物理学 2009-11-07 M. Levanda , V Fleurov

Viewed as approximations to quantum mechanics, classical evolutions can violate the positive-semidefiniteness of the density matrix. The nature of this violation suggests a classification of dynamical systems based on classical-quantum…

量子物理 · 物理学 2009-11-06 Salman Habib , Kurt Jacobs , Hideo Mabuchi , Robert Ryne , Kosuke Shizume , Bala Sundaram

The gauge invariant electromagnetic Wigner equation is taken as the basis for a fluid-like system describing quantum plasmas, derived from the moments of the gauge invariant Wigner function. The use of the standard, gauge dependent Wigner…

量子物理 · 物理学 2015-05-14 F. Haas , J. Zamanian , M. Marklund , G. Brodin

We study the transport properties of a long non-uniform quantum wire where the electron-electron interactions and the density vary smoothly at large length scales. We show that these inhomogeneities lead to a finite resistivity of the wire,…

介观与纳米尺度物理 · 物理学 2008-04-08 J. Rech , K. A. Matveev

We present a phase space description of the process of quantum teleportation for a system with an $N$ dimensional space of states. For this purpose we define a discrete Wigner function which is a minor variation of previously existing ones.…

量子物理 · 物理学 2009-11-07 Juan Pablo Paz

The concepts of Wigner time delay and Wigner-Smith matrix allow to characterize temporal aspects of a quantum scattering process. The article reviews the statistical properties of the Wigner time delay for disordered systems; the case of…

介观与纳米尺度物理 · 物理学 2018-11-06 Christophe Texier

We introduce the Wigner functional representing a quantum field in terms of the field amplitudes and their conjugate momenta. The equation of motion for the functional of a scalar field point out the relevance of solutions of the classical…

高能物理 - 理论 · 物理学 2010-11-01 S. Mrowczynski , B. Mueller

We consider electronic transport through a single-molecule junction where the molecule has a degenerate spectrum. Unlike previous transport models, and theories a rate-equations description is no longer possible, and the quantum coherences…

介观与纳米尺度物理 · 物理学 2013-05-29 Maximilian G. Schultz