10,431 research outputs found
Nationbuilding 101: Reductionism in Property, Liberty, and Corporate Governance
In this Article, Professor Reed re-examines the importance of property as a formal legal institution. He continues by arguing that central to creating property is the right to exclude others from resources acquired without force, theft, or fraud. In countries where this right has been firmly established, per capita income far exceeds that of countries lacking a strong right to exclude. Professor Reed then asserts the importance to nation builders of appreciating the virtual semantic equivalence of the terms property and liberty. Finally, he argues that both the specific and broad senses of corporate governance can be reduced to property issues, making the understanding and implementation of a strong property system an important step toward prosperity, individual freedom, and sustainable peace
Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production
A general argument leading from the formula for currents through an open
noninteracting mesoscopic system given by the theory of non-equilibrium steady
states (NESS) to the Landauer-Buettiker formula is pointed out. Time reversal
symmetry is not assumed. As a consequence it follows that, as far as the system
has a nontrivial scattering theory and the reservoirs have different
temperatures and/or chemical potentials, the entropy production is strictly
positive.Comment: 12 pages. Submitted for publication in J. Math. Phys. on 2006-06-05.
Revision and extension of: G. Nenciu, A general proof of Landauer-Buettiker
formula, [math-ph/0603030
Lone Star Productions
Lone Star Productions (LSP) is a concert promotions business that was started in 1981 by Bill Oldman. Since 1986, this company has been the exclusive provider of concert promotion materials for 75% of the top grossing national tours. In 1997, Bill Oldman sold the company to a group of investors headed by Mike Sims. With a background in banking and investments, Sims took over a LSP’s president. Bill Oldman remained as the Chief Executive Officer of the company. Lone Star Productions’ business encompasses several segments, including concert promotions, audio and video production, production staffing, video editing, web site development, and equipment and suite rental. Currently, concert promotions account for 90% of the company’s revenue. Efforts to build business in the areas other than concert promotion have been mildly successful, but LSP considers the further development of these business areas to be critical to the long-term profitability and financial stability of the company, LSP is currently considering buying the largest video production company in the Dallas, Texas area.(Contact author for a copy of the complete report.)Small Busn. Mgmt
Noncommutative waves have infinite propagation speed
We prove the existence of global solutions to the Cauchy problem for
noncommutative nonlinear wave equations in arbitrary even spatial dimensions
where the noncommutativity is only in the spatial directions. We find that for
existence there are no conditions on the degree of the nonlinearity provided
the potential is positive. We furthermore prove that nonlinear noncommutative
waves have infinite propagation speed, i.e., if the initial conditions at time
0 have a compact support then for any positive time the support of the solution
can be arbitrarily large.Comment: 15 pages, references adde
Nonlinear Schroedinger equation with two symmetric point interactions in one dimension
We consider a time-dependent one-dimensional nonlinear Schroedinger equation
with a symmetric potential double well represented by two delta interactions.
Among our results we give an explicit formula for the integral kernel of the
unitary semigroup associated with the linear part of the Hamiltonian. Then we
establish the corresponding Strichartz-type estimate and we prove local
existence and uniqueness of the solution to the original nonlinear problem
On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction
In the mean-field limit the dynamics of a quantum Bose gas is described by a
Hartree equation. We present a simple method for proving the convergence of the
microscopic quantum dynamics to the Hartree dynamics when the number of
particles becomes large and the strength of the two-body potential tends to 0
like the inverse of the particle number. Our method is applicable for a class
of singular interaction potentials including the Coulomb potential. We prove
and state our main result for the Heisenberg-picture dynamics of "observables",
thus avoiding the use of coherent states. Our formulation shows that the
mean-field limit is a "semi-classical" limit.Comment: Corrected typos and included an elementary proof of the Kato
smoothing estimate (Lemma 6.1
Linear vs. nonlinear effects for nonlinear Schrodinger equations with potential
We review some recent results on nonlinear Schrodinger equations with
potential, with emphasis on the case where the potential is a second order
polynomial, for which the interaction between the linear dynamics caused by the
potential, and the nonlinear effects, can be described quite precisely. This
includes semi-classical regimes, as well as finite time blow-up and scattering
issues. We present the tools used for these problems, as well as their
limitations, and outline the arguments of the proofs.Comment: 20 pages; survey of previous result
Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case
We study the time evolution of a three dimensional quantum particle,
initially in a bound state, under the action of a time-periodic zero range
interaction with ``strength'' (\alpha(t)). Under very weak generic conditions
on the Fourier coefficients of (\alpha(t)), we prove complete ionization as (t
\to \infty). We prove also that, under the same conditions, all the states of
the system are scattering states.Comment: LaTeX2e, 15 page
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