619 research outputs found
Improved setup for producing slow beams of cold molecules using a rotating nozzle
Intense beams of cold and slow molecules are produced by supersonic expansion
out of a rapidly rotating nozzle, as first demonstrated by Gupta and
Herschbach. An improved setup is presented that allows to accelerate or
decelerate cold atomic and molecular beams by up to 500 m/s. Technical
improvements are discussed and beam parameters are characterized by detailed
analysis of time of flight density distributions. The possibility of combining
this beam source with electrostatic fields for guiding polar molecules is
demonstrated
Molecular Dynamics Simulation of Semiflexible Polyampholyte Brushes - The Effect of Charged Monomers Sequence
Planar brushes formed by end-grafted semiflexible polyampholyte chains, each
chain containing equal number of positively and negatively charged monomers is
studied using molecular dynamics simulations. Keeping the length of the chains
fixed, dependence of the average brush thickness and equilibrium statistics of
the brush conformations on the grafting density and the salt concentration are
obtained with various sequences of charged monomers. When similarly charged
monomers of the chains are arranged in longer blocks, the average brush
thickness is smaller and dependence of brush properties on the grafting density
and the salt concentration is stronger. With such long blocks of similarly
charged monomers, the anchored chains bond to each other in the vicinity of the
grafting surface at low grafting densities and buckle toward the grafting
surface at high grafting densities.Comment: 8 pages,7 figure
On field theory quantization around instantons
With the perspective of looking for experimentally detectable physical
applications of the so-called topological embedding, a procedure recently
proposed by the author for quantizing a field theory around a non-discrete
space of classical minima (instantons, for example), the physical implications
are discussed in a ``theoretical'' framework, the ideas are collected in a
simple logical scheme and the topological version of the Ginzburg-Landau theory
of superconductivity is solved in the intermediate situation between type I and
type II superconductors.Comment: 27 pages, 5 figures, LaTe
The modular geometry of Random Regge Triangulations
We show that the introduction of triangulations with variable connectivity
and fluctuating egde-lengths (Random Regge Triangulations) allows for a
relatively simple and direct analyisis of the modular properties of 2
dimensional simplicial quantum gravity. In particular, we discuss in detail an
explicit bijection between the space of possible random Regge triangulations
(of given genus g and with N vertices) and a suitable decorated version of the
(compactified) moduli space of genus g Riemann surfaces with N punctures. Such
an analysis allows us to associate a Weil-Petersson metric with the set of
random Regge triangulations and prove that the corresponding volume provides
the dynamical triangulation partition function for pure gravity.Comment: 36 pages corrected typos, enhanced introductio
Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour
Classical Jacobi polynomials , with , have a number of well-known properties, in particular the location
of their zeros in the open interval . This property is no longer valid
for other values of the parameters; in general, zeros are complex. In this
paper we study the strong asymptotics of Jacobi polynomials where the real
parameters depend on in such a way that with . We
restrict our attention to the case where the limits are not both positive
and take values outside of the triangle bounded by the straight lines A=0, B=0
and . As a corollary, we show that in the limit the zeros distribute
along certain curves that constitute trajectories of a quadratic differential.
The non-hermitian orthogonality relations for Jacobi polynomials with varying
parameters lie in the core of our approach; in the cases we consider, these
relations hold on a single contour of the complex plane. The asymptotic
analysis is performed using the Deift-Zhou steepest descent method based on the
Riemann-Hilbert reformulation of Jacobi polynomials.Comment: 37 pages, 10 figure
From Matrices to Strings and Back
We discuss an explicit construction of a string dual for the Gaussian matrix
model. Starting from the matrix model and employing Strebel differential
techniques we deduce hints about the structure of the dual string. Next,
following these hints a worldheet theory is constructed. The correlators in
this string theory are assumed to localize on a finite set of points in the
moduli space of Riemann surfaces. To each such point one associates a Feynman
diagram contributing to the correlator in the dual matrix model, and thus
recasts the worldsheet expression as a sum over Feynman diagrams.Comment: 27 pages, 3 figure
Robotic-assisted laparoscopic extended pelvic lymph node dissection for prostate cancer: surgical technique and experience with the first 99 cases
BACKGROUND: To date, there is still a paucity of data in the literature on robotic-assisted laparoscopic extended pelvic lymph node dissection (RALEPLND) in patients with prostate cancer. OBJECTIVE: To assess the technical feasibility of RALEPLND and to present our surgical technique. DESIGN, SETTING, AND PARTICIPANTS: From April 2006 to March 2008, we performed RALEPLND in 99 patients prior to robotic-assisted laparoscopic radical prostatectomy. Indications for RALEPLND were a prostate-specific antigen (PSA) >/=10 ng/ml or a preoperative Gleason score >/=7. The data were evaluated retrospectively. SURGICAL PROCEDURE: The transperitoneal approach was used in all cases. In order to gain optimal access to the common iliac bifurcation, the five trocars were placed in a more cephalad position than in patients undergoing radical prostatectomy without RALEPLND. After identification of important landmarks, the lymphatics covering the external iliac vein, the obturator lymphatic packet, and the lymphatics overlying the internal iliac artery were removed on both sides. MEASUREMENTS: The total lymph node yield, the frequency of lymph node metastases, and the complication rate. RESULTS AND LIMITATIONS: The median patient age was 64 yr (range: 45-78). The median preoperative PSA level was 7.7 ng/ml (range: 1.5-84.6). The median number of lymph nodes harvested was 19 (range: 8-53). In 16 patients (16%), we found lymph node metastasis. Complications occurred in seven patients (7%). CONCLUSIONS: RALEPLND is feasible, and its lymph node yield is well in the range of open series. The robotic-assisted laparoscopic approach in itself does not seem to limit a surgeon's ability to perform a complete extended pelvic lymph node dissection
On the worldsheet theories of strings dual to free large N gauge theories
We analyze in detail some properties of the worldsheet of the closed string
theories suggested by Gopakumar to be dual to free large N SU(N) gauge theories
(with adjoint matter fields). We use Gopakumar's prescription to translate the
computation of space-time correlation functions to worldsheet correlation
functions for several classes of Feynman diagrams, by explicit computations of
Strebel differentials. We compute the worldsheet operator product expansion in
several cases and find that it is consistent with general worldsheet conformal
field theory expectations. A peculiar property of the construction is that in
several cases the resulting worldsheet correlation functions are non-vanishing
only on a sub-space of the moduli space (say, for specific relations between
vertex positions). Another strange property we find is that for a conformally
invariant space-time theory, the mapping to the worldsheet does not preserve
the special conformal symmetries, so that the full conformal group is not
realized as a global symmetry on the worldsheet (even though it is, by
construction, a symmetry of all integrated correlation functions).Comment: 60 pages, 17 figures, latex. v2: Added references and a minor
correctio
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