3,321 research outputs found
On the dynamics created by a time--dependent Aharonov-Bohm flux
We study the dynamics of classical and quantum particles moving in a
punctured plane under the influence of a homogeneous magnetic field and driven
by a time-dependent singular flux tube through the hole
Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux
We study the dynamics of a classical particle moving in a punctured plane
under the influence of a strong homogeneous magnetic field, an electrical
background, and driven by a time-dependent singular flux tube through the hole.
We exhibit a striking classical (de)localization effect: in the far past the
trajectories are spirals around a bound center; the particle moves inward
towards the flux tube loosing kinetic energy. After hitting the puncture it
becomes ``conducting'': the motion is a cycloid around a center whose drift is
outgoing, orthogonal to the electric field, diffusive, and without energy loss
A constant of quantum motion in two dimensions in crossed magnetic and electric fields
We consider the quantum dynamics of a single particle in the plane under the
influence of a constant perpendicular magnetic and a crossed electric potential
field. For a class of smooth and small potentials we construct a non-trivial
invariant of motion. Do to so we proof that the Hamiltonian is unitarily
equivalent to an effective Hamiltonian which commutes with the observable of
kinetic energy.Comment: 18 pages, 2 figures; the title was changed and several typos
corrected; to appear in J. Phys. A: Math. Theor. 43 (2010
Predictability in an unpredictable artificial cultural market
In social, economic and cultural situations in which the decisions of
individuals are influenced directly by the decisions of others, there appears
to be an inherently high level of ex ante unpredictability. In cultural markets
such as films, songs and books, well-informed experts routinely make
predictions which turn out to be incorrect.
We examine the extent to which the existence of social influence may,
somewhat paradoxically, increase the extent to which winners can be identified
at a very early stage in the process. Once the process of choice has begun,
only a very small number of decisions may be necessary to give a reasonable
prospect of being able to identify the eventual winner.
We illustrate this by an analysis of the music download experiments of
Salganik et.al. (2006). We derive a rule for early identification of the
eventual winner. Although not perfect, it gives considerable practical success.
We validate the rule by applying it to similar data not used in the process of
constructing the rule
Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux
We study the dynamics of a quantum particle moving in a plane under the
influence of a constant magnetic field and driven by a slowly time-dependent
singular flux tube through a puncture. The known adiabatic results do not cover
these models as the Hamiltonian has time dependent domain. We give a meaning to
the propagator and prove an adiabatic theorem. To this end we introduce and
develop the new notion of a propagator weakly associated to a time-dependent
Hamiltonian.Comment: Title and Abstract changed, will appear in Journal of Mathematical
Physic
Bloch Theory and Quantization of Magnetic Systems
Quantizing the motion of particles on a Riemannian manifold in the presence
of a magnetic field poses the problems of existence and uniqueness of
quantizations. Both of them are settled since the early days of geometric
quantization but there is still some structural insight to gain from spectral
theory. Following the work of Asch, Over & Seiler (1994) for the 2-torus we
describe the relation between quantization on the manifold and Bloch theory on
its covering space for more general compact manifolds.Comment: 20 page
Identification of a gene encoding GMP synthetase from a Neurospora crassa cDNA library by bacterial complementation
We report the isolation and identification of a gene encoding GMP synthetase from a Neurospora crassa cDNA library. Phage infection of the purine-requiring Escherichia coli strain SØ3834 using the NO3- induced cDNA phage library from the Fungal Genetics Stock Center resulted in colonies able to grow on minimal media with no added purine source. A plasmid, termed pGMPS1, was isolated from one of these colonies and shown to reproducibly support growth of strain SØ3834 in the absence of purines in the media. Identification of this gene as one encoding GMP synthetase is confirmed by DNA sequencing and comparison to the known guaA gene from yeast
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