30,593 research outputs found
No approximate complex fermion coherent states
Whereas boson coherent states with complex parametrization provide an
elegant, and intuitive representation, there is no counterpart for fermions
using complex parametrization. However, a complex parametrization provides a
valuable way to describe amplitude and phase of a coherent beam. Thus we pose
the question of whether a fermionic beam can be described, even approximately,
by a complex-parametrized coherent state and define, in a natural way,
approximate complex-parametrized fermion coherent states. Then we identify four
appealing properties of boson coherent states (eigenstate of annihilation
operator, displaced vacuum state, preservation of product states under linear
coupling, and factorization of correlators) and show that these approximate
complex fermion coherent states fail all four criteria. The inapplicability of
complex parametrization supports the use of Grassman algebras as an appropriate
alternative.Comment: Argumentation made cleare
Boundary conditions for free surface inlet and outlet\ud problems
We investigate and compare the boundary conditions that are to be applied to free surface problems involving inlet and outlets of Newtonian fluid, typically found in coating processes. The flux of fluid is a priori known at an inlet, but unknown at an outlet, where it is governed by the local behaviour near the film-forming meniscus. In the limit of vanishing capillary number Ca it is well-known that the flux scales with Ca2/3, but this classical result is nonuniform as the contact angle approaches . By examining this limit we find a solution that is uniformly valid for all contact angles. Furthermore, by considering the far-field behaviour of the free surface we show that there exists a critical capillary number above which the problem at an inlet becomes over-determined. The implications of this result for the modelling of coating flows are discussed
Advanced digital modulation: Communication techniques and monolithic GaAs technology
Communications theory and practice are merged with state-of-the-art technology in IC fabrication, especially monolithic GaAs technology, to examine the general feasibility of a number of advanced technology digital transmission systems. Satellite-channel models with (1) superior throughput, perhaps 2 Gbps; (2) attractive weight and cost; and (3) high RF power and spectrum efficiency are discussed. Transmission techniques possessing reasonably simple architectures capable of monolithic fabrication at high speeds were surveyed. This included a review of amplitude/phase shift keying (APSK) techniques and the continuous-phase-modulation (CPM) methods, of which MSK represents the simplest case
Applications of physical methods in high-frequency futures markets
In the present work we demonstrate the application of different physical
methods to high-frequency or tick-by-tick financial time series data. In
particular, we calculate the Hurst exponent and inverse statistics for the
price time series taken from a range of futures indices. Additionally, we show
that in a limit order book the relaxation times of an imbalanced book state
with more demand or supply can be described by stretched exponential laws
analogous to those seen in many physical systems.Comment: 14 Pages and 10 figures. Proceeding to the SPIE conference, 4 - 7
December 2007 Australian National Univ. Canberra, ACT, Australi
Explicit form of the Isgur-Wise function in the BPS limit
Using previously formulated sum rules in the heavy quark limit of QCD, we
demonstrate that if the slope rho^2 = -xi'(1) of the Isgur-Wise function xi(w)
attains its lower bound 3/4, then all the derivatives (-1)^L xi^(L)(1) attain
their lower bounds (2L+1)!!/2^(2L), obtained by Le Yaouanc et al. This implies
that the IW function is completely determined, given by the function xi(w) =
[2/(w+1)]^(3/2). Since the so-called BPS condition proposed by Uraltsev implies
rho^2 = 3/4, it implies also that the IW function is given by the preceding
expression.Comment: 19 page
Relation between Light Cone Distribution Amplitudes and Shape Function in B mesons
The Bakamjian-Thomas relativistic quark model provides a Poincar\'e
representation of bound states with a fixed number of constituents and, in the
heavy quark limit, form factors of currents satisfy covariance and Isgur-Wise
scaling. We compute the Light Cone Distribution Amplitudes of mesons
as well as the Shape Function , that enters
in the decay , that are also covariant in this class of
models. The LCDA and the SF are related through the quark model wave function.
The former satisfy, in the limit of vanishing constituent light quark mass, the
integral relation given by QCD in the valence sector of Fock space. Using a
gaussian wave function, the obtained is identical to the so-called
Roman Shape Function. From the parameters for the latter that fit the spectrum we predict the behaviour of . We
discuss the important role played by the constituent light quark mass. In
particular, although for vanishing light quark mass, a
non-vanishing mass implies the unfamiliar result . Moreover,
we incorporate the short distance behaviour of QCD to ,
which has sizeable effects at large . We obtain the values for the
parameters GeV and
GeV. We compare with other theoretical approaches and illustrate the
great variety of models found in the literature for the functions ; hence the necessity of imposing further constraints as in the
present paper. We briefly review also the different phenomena that are
sensitive to the LCDA.Comment: 6 figure
The European Large Area ISO Survey - ISOPHOT results using the MPIA-pipeline
The European Large Area ISO Survey (ELAIS) will provide Infrared observations
of 4 regions in the sky with ISO. Around 2000 Infrared sources have been
detected at 7 and 15 microns (with ISOCAM), 90 and 175 microns (with ISOPHOT))
over 13 square degrees of the sky. We present the source extraction pipeline of
the 90 microns ISOPHOT observations, describe and discuss the results obtained
and derive the limits of the ELAIS observational strategy.Comment: 4 pages, 5 figures, to appear in the ISO conference "The Universe as
seen by ISO", 1998, UNESCO, Pari
One Interesting New Sum Rule Extending Bjorken's to order {1/m_Q}
We explicitly check quark-hadron duality to order
for decays in the limit including ground state
and orbitally excited hadrons. Duality occurs thanks to a new sum rule which
expresses the subleading HQET form factor or, in other notations,
in terms of the infinite mass limit form factors and some level
splittings. We also demonstrate the sum rule, which is not restricted to the
condition , applying OPE to the longitudinal axial component
of the hadronic tensor without neglecting the subleading contributions
to the form factors. We argue that this method should produce a new class of
sum rules, depending on the current, beyond Bjorken, Voloshin and the known
tower of higher moments. Applying OPE to the vector currents we find another
derivation of the Voloshin sum rule. From independent results on we
derive a sum rule which involves only the and
form factors and the corresponding level splittings. The
latter strongly supports a theoretical evidence that the semileptonic decay
into narrow orbitally-excited resonances dominates over the decay into the
broad ones, in apparent contradiction with some recent experiments. We discuss
this issue.Comment: 9 page
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