6,623 research outputs found
Light dynamics in glass-vanadium dioxide nanocomposite waveguides with thermal nonlinearity
We address the propagation of laser beams in Si02-VO2 nanocomposite
waveguides with thermo-optical nonlinearity. We show that the large
modifications of the absorption coefficient as well as notable changes of
refractive index of VO2 nanoparticles embedded into the SiO2 host media that
accompany the semiconductor-to-metal phase transition may lead to optical
limiting in the near-infrared wave range.Comment: 13 pages, 3 figures, to appear in Optics Letter
The Bolivarian Dream: ALBA and the Cuba-Venezuela Alliance
This thesis seeks to answer why the Bolivarian Alliance for the Peoples of Our America (ALBA) has failed to achieve its two major goals: to create a socialist alternative to neoliberalism and foster mutual cooperation among the members. Important constructivist works from Nicolas Onuf and Alexander Wendt were used throughout. Emphasis is given to the debate between social construction and material reality that has hindered ALBA’s goals.
Three reasons led to why ALBA could not achieve its two major goals. First, the successors to the founding leaders of ALBA did not share the same sympathy toward socialism, and instead carved their own foreign policy. Second, ALBA did not create a socialist alternative since its programs were plagued by ill-defined rules. Third, China, Iran, and Russia, were pulled to ALBA due to the influence of Venezuela. These actors related to ALBA members on a bilateral basis, which hurt ALBA’s mutual cooperation
The quantum Arnold transformation
By a quantum version of the Arnold transformation of classical mechanics, all
quantum dynamical systems whose classical equations of motion are
non-homogeneous linear second-order ordinary differential equations, including
systems with friction linear in velocity, can be related to the quantum
free-particle dynamical system. This transformation provides a basic
(Heisenberg-Weyl) algebra of quantum operators, along with well-defined
Hermitian operators which can be chosen as evolution-like observables and
complete the entire Schr\"odinger algebra. It also proves to be very helpful in
performing certain computations quickly, to obtain, for example, wave functions
and closed analytic expressions for time-evolution operators.Comment: 19 pages, minor changes, references update
Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups
Any expanding homogeneous Ricci soliton (in particular any homogeneous
Einstein manifold of negative scalar curvature) can be obtained, up to
isometry, from a Lie subgroup of a nilpotent Iwasawa group whose induced
metric is a Ricci soliton. By nilpotent Iwasawa group we mean the nilpotent Lie
group of the Iwasawa decomposition associated with a symmetric space of
non-compact type. Motivated by this fact, in this paper we classify codimension
one Lie subgroups of any nilpotent Iwasawa group whose induced metric is a
Ricci soliton
When Legal Systems Clash: Why Foreign-Born Residents Fall Prey To Unscrupulous Notaries Public and What Should Be Done to Prevent It
Because of the very different connotation that the term notary or notary public has for the typical U.S. citizen and citizens of most other countries around the world, unscrupulous notaries in the United States can easily prey upon unsuspecting foreign-born individuals in need of legal assistance or representation and fraudulently misrepresent themselves as authorized to provide legal advice, legal document preparation, and representation across a wide range of matters—all of which constitute the unauthorized practice of law subject to civil violation and/or criminal prosecution
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