24,623 research outputs found
Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
The quantum dynamics of a spin-1/2 charged particle in the presence of
magnetic field is analyzed for the general case where scalar and vector
couplings are considered. The energy spectra are explicitly computed for
different physical situations, as well as their dependencies on the magnetic
field strength, spin projection parameter and vector and scalar coupling
constants.Comment: arXiv admin note: text overlap with arXiv:1403.411
Partial Classification of Lorenz Knots: Syllable Permutations of Torus Knots Words
We define families of aperiodic words associated to Lorenz knots that arise
naturally as syllable permutations of symbolic words corresponding to torus
knots. An algorithm to construct symbolic words of satellite Lorenz knots is
defined. We prove, subject to the validity of a previous conjecture, that
Lorenz knots coded by some of these families of words are hyperbolic, by
showing that they are neither satellites nor torus knots and making use of
Thurston's theorem. Infinite families of hyperbolic Lorenz knots are generated
in this way, to our knowledge, for the first time. The techniques used can be
generalized to study other families of Lorenz knots
On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions
In this work we consider de Branges spaces where the multiplication operator
by the independent variable is not densely defined. First, we study the
canonical selfadjoint extensions of the multiplication operator as a family of
rank-one perturbations from the viewpoint of the theory of de Branges spaces.
Then, on the basis of the obtained results, we provide new necessary and
sufficient conditions for a real, zero-free function to lie in a de Branges
space.Comment: 13 pages, no fugures. Theorem and remark have been added,
typographical erros correcte
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