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Displaying 341 – 360 of 670

On the derivation of a quantum Boltzmann equation from the periodic Von-Neumann equation

François Castella (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We present the semi-conductor Boltzmann equation, which is time-reversible, and indicate that it can be formally derived by considering the large time and small perturbing potential limit in the Von-Neumann equation (time-reversible). We then rigorously compute the corresponding asymptotics in the case of the Von-Neumann equation on the Torus. We show that the limiting equation we obtain does not coincide with the physically realistic model. The former is indeed an equation of Boltzmann type, yet...

On the double-well problem for Dirac operators

Evans M. Harrell, M. Klaus (1983)

Annales de l'I.H.P. Physique théorique

On the dynamical meaning of spectral dimensions

Italo Guarneri (1998)

Annales de l'I.H.P. Physique théorique

On the energy and spectral properties of the he matrix of hexagonal systems

Faqir M. Bhatti, Kinkar Ch. Das, Syed A. Ahmed (2013)

Czechoslovak Mathematical Journal

The He matrix, put forward by He and He in 1989, is designed as a means for uniquely representing the structure of a hexagonal system (= benzenoid graph). Observing that the He matrix is just the adjacency matrix of a pertinently weighted inner dual of the respective hexagonal system, we establish a number of its spectral properties. Afterwards, we discuss the number of eigenvalues equal to zero of the He matrix of a hexagonal system. Moreover, we obtain a relation between the number of triangles...

On the essential spectrum of Dirac operators with spherically symmetric potentials.

Karl Michael Schmidt (1993)

Mathematische Annalen

On the essential spectrum of many-particle pseudorelativistic Hamiltonians with permutational symmetry account.

Zhislin, Grigorii (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.

Hubert Kalf, Rainer Hempel, Andreas M. Hinz (1987)

Mathematische Annalen

On the essential spectrum of the Jansen-Hess operator for two-electron ions.

Jakubassa-Amundsen, D.H. (2008)

Mathematical Physics Electronic Journal [electronic only]

On the exact unitary integration of time-varying quantum Liouville equations.

Altafini, C. (2005)

Rendiconti del Seminario Matematico

On the existence of bright solitons in cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity.

Belmonte-Beitia, Juan (2008)

Mathematical Problems in Engineering

On the factorization criterion for quantum statistics

Ewa Czkwianianc (2005)

Mathematica Slovaca

On the Fröhlich-Spencer-Estimate in the theory of anderson localization.

Jürgen Pöschel (1991)

Manuscripta mathematica

On the global Cauchy problem for some non linear Schrödinger equations

J. Ginibre, G. Velo (1984)

Annales de l'I.H.P. Analyse non linéaire

On the heat trace of the magnetic Schrödinger operators on the hyperbolic plane.

Inahama, Yuzuru, Shirai, Shin-ichi (2006)

Mathematical Physics Electronic Journal [electronic only]

On the Index of Callias-type Operators.

N. Anghel (1993)

Geometric and functional analysis

On the large order asymptotics of general states in semiclassical quantum mechanics

Takahiro Arai (1993)

Annales de l'I.H.P. Physique théorique

On the nonrelativistic limit of the Dirac hamiltonian

D. R. Grigore, G. Nenciu, R. Purice (1989)

Annales de l'I.H.P. Physique théorique

On the number of bound states of a bosonic N-particle Coulomb system.

V. Bach, R. Lewis, E.H. Lieb (1993)

Mathematische Zeitschrift

On the relative fundamental solutions for a second order differential operator on the Heisenberg group

T. Godoy, L. Saal (2001)

Studia Mathematica

Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let $L = \sum_{j = 1}^{p} (X ²_{j} + Y ²_{j}) - \sum_{j = p + 1}^{n} (X ²_{j} + Y ²_{j})$ , where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.

On the relativistic calculation of the Lamb shift

Roger Boudet (1996)

Banach Center Publications

A relativistic calculation of the Lamb shift, using the classical field created by the Dirac transition currents, is proposed.

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