1,051 research outputs found
Adelic Integrable Systems
Incorporating the zonal spherical function (zsf) problems on real and
-adic hyperbolic planes into a Zakharov-Shabat integrable system setting, we
find a wide class of integrable evolutions which respect the number-theoretic
properties of the zsf problem. This means that at {\it all} times these real
and -adic systems can be unified into an adelic system with an -matrix
which involves (Dirichlet, Langlands, Shimura...) L-functions.Comment: 23 pages, uses plain TE
Relaxation of hole spins in quantum dots via two-phonon processes
We investigate theoretically spin relaxation in heavy hole quantum dots in
low external magnetic fields. We demonstrate that two-phonon processes and
spin-orbit interaction are experimentally relevant and provide an explanation
for the recently observed saturation of the spin relaxation rate in heavy hole
quantum dots with vanishing magnetic fields. We propose further experiments to
identify the relevant spin relaxation mechanisms in low magnetic fields.Comment: 5 pages, 2 figure
A Frobenius variant of Seshadri constants
We define and study a version of Seshadri constant for ample line bundles in
positive characteristic. We prove that lower bounds for this constant imply the
global generation or very ampleness of the corresponding adjoint line bundle.
As a consequence, we deduce that the criterion for global generation and very
ampleness of adjoint line bundles in terms of usual Seshadri constants holds
also in positive characteristic.Comment: 16 page
Surface complexation model of aquifer pollution with heavy metals on ash and slag dump near TimiÅŸoara
For modelling of the pollutants transport process in aquifer a very important aspect has the analysis of aquifer pollution with heavy metals. The surface complexation process of heavy metals on the grains of porous-media is reversible similar to the adsorption-desorption in transport processes, in aquifer pollution, but strongly dependent of pH value. High pH values determine increasing heavy metals complexation and consequently decrease their concentration in the groundwater. Decreasing pH value leads to liberation of heavy metals from the formed complex and so an increased concentration of heavy metals in the groundwater appears. This paper presents the results obtained by using a numerical experiment using PhreeqC and PMWIN software package for the spreading of the heavy metals pollution in the aquifer of an ash and slug dump, as pollution source, near village Utvin, Timi$ County, Romania
Irreducible Killing Tensors from Third Rank Killing-Yano Tensors
We investigate higher rank Killing-Yano tensors showing that third rank
Killing-Yano tensors are not always trivial objects being possible to construct
irreducible Killing tensors from them. We give as an example the Kimura IIC
metric were from two rank Killing-Yano tensors we obtain a reducible Killing
tensor and from third rank Killing-Yano tensors we obtain three Killing
tensors, one reducible and two irreducible.Comment: 10 page
Strong Spin-Orbit Interaction and Helical Hole States in Ge/Si Nanowires
We study theoretically the low-energy hole states of Ge/Si core/shell
nanowires. The low-energy valence band is quasidegenerate, formed by two
doublets of different orbital angular momenta, and can be controlled via the
relative shell thickness and via external fields. We find that direct (dipolar)
coupling to a moderate electric field leads to an unusually large spin-orbit
interaction of Rashba type on the order of meV which gives rise to pronounced
helical states enabling electrical spin control. The system allows for quantum
dots and spin qubits with energy levels that can vary from nearly zero to
several meV, depending on the relative shell thickness.Comment: 8 pages, 6 figure
Existence of solutions to a higher dimensional mean-field equation on manifolds
For we prove an existence result for the equation on a closed Riemannian
manifold of dimension for certain values of .Comment: 15 Page
f-symbols, Killing tensors and conserved Bel-type currents
In the framework of the General Relativity we show that from three
generalizations of Killing vector fields, namely f-symbols, symmetric
St\"{a}ckel-Killing and antisymmetric Killing-Yano tensors, some conserved
currents can be obtained through adequate contractions of the above mentioned
objects with rank four tensors having the properties of Bel or Bel-Robinson
tensors in Einstein spaces.Comment: 13 pages, accepted for publication in Mod. Phys. Lett.
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