37 research outputs found
Imaging mass in three dimensions
We explore a possible "killer app" for the LSST and similar surveys: imaging mass in three dimensions. We describe its scientific importance, practical techniques for realizing it, the current state of the art and how it might scale to the LSST
Asymptotics for the number of eigenvalues of three-particle Schr\"{o}dinger operators on lattices
We consider the Hamiltonian of a system of three quantum mechanical particles
(two identical fermions and boson)on the three-dimensional lattice and
interacting by means of zero-range attractive potentials. We describe the
location and structure of the essential spectrum of the three-particle discrete
Schr\"{o}dinger operator being the total quasi-momentum
and the ratio of the mass of fermion and boson.
We choose for the interaction in such a way the system
consisting of one fermion and one boson has a zero energy resonance.
We prove for any the existence infinitely many eigenvalues of the
operator We establish for the number of
eigenvalues lying below the following asymptotics Moreover,
for all nonzero values of the quasi-momentum we establish the
finiteness of the number of eigenvalues of
below the bottom of the essential spectrum and we give an asymptotics for the
number of eigenvalues below zero.Comment: 25 page
Imaging mass in three dimensions
We explore a possible "killer app" for the LSST and similar surveys: imaging mass in three dimensions. We describe its scientific importance, practical techniques for realizing it, the current state of the art and how it might scale to the LSST
Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
We give a self-contained presentation of the theory of self-adjoint
extensions using the technique of boundary triples. A description of the
spectra of self-adjoint extensions in terms of the corresponding Krein maps
(Weyl functions) is given. Applications include quantum graphs, point
interactions, hybrid spaces, singular perturbations.Comment: 81 pages, new references added, subsection 1.3 extended, typos
correcte
The Whole is Greater than the Sum of the Parts: Optimizing the Joint Science Return from LSST, Euclid and WFIRST
The focus of this report is on the opportunities enabled by the combination
of LSST, Euclid and WFIRST, the optical surveys that will be an essential part
of the next decade's astronomy. The sum of these surveys has the potential to
be significantly greater than the contributions of the individual parts. As is
detailed in this report, the combination of these surveys should give us
multi-wavelength high-resolution images of galaxies and broadband data covering
much of the stellar energy spectrum. These stellar and galactic data have the
potential of yielding new insights into topics ranging from the formation
history of the Milky Way to the mass of the neutrino. However, enabling the
astronomy community to fully exploit this multi-instrument data set is a
challenging technical task: for much of the science, we will need to combine
the photometry across multiple wavelengths with varying spectral and spatial
resolution. We identify some of the key science enabled by the combined surveys
and the key technical challenges in achieving the synergies.Comment: Whitepaper developed at June 2014 U. Penn Workshop; 28 pages, 3
figure
Gribov Problem for Gauge Theories: a Pedagogical Introduction
The functional-integral quantization of non-Abelian gauge theories is
affected by the Gribov problem at non-perturbative level: the requirement of
preserving the supplementary conditions under gauge transformations leads to a
non-linear differential equation, and the various solutions of such a
non-linear equation represent different gauge configurations known as Gribov
copies. Their occurrence (lack of global cross-sections from the point of view
of differential geometry) is called Gribov ambiguity, and is here presented
within the framework of a global approach to quantum field theory. We first
give a simple (standard) example for the SU(2) group and spherically symmetric
potentials, then we discuss this phenomenon in general relativity, and recent
developments, including lattice calculations.Comment: 24 pages, Revtex 4. In the revised version, a statement has been
amended on page 11, and References 14, 16 and 27 have been improve
The Deep Lens Survey
The Deep Lens Survey (DLS) is a deep BVRz' imaging survey of seven 2x2 degree
fields, with all data to be made public. The primary scientific driver is weak
gravitational lensing, but the survey is also designed to enable a wide array
of other astrophysical investigations. A unique feature of this survey is the
search for transient phenomena. We subtract multiple exposures of a field,
detect differences, classify, and release transients on the Web within about an
hour of observation. Here we summarize the scientific goals of the DLS, field
and filter selection, observing techniques and current status, data reduction,
data products and release, and transient detections. Finally, we discuss some
lessons which might apply to future large surveys such as LSST.Comment: to appear in Proc. SPIE Vol. 4836. v2 contains very minor change
Deep lens survey
The Deep Lens Survey (DLS) is a deep BV Rz' imaging survey of seven 2°×2° degree fields, with all data to be made public. The primary scientific driver is weak gravitational lensing, but the survey is also designed to enable a wide array of other astrophysical investigations. A unique feature of this survey is the search for transient phenomena. We subtract multiple exposures of a field, detect differences, classify, and release transients on the Web within about an hour of observation. Here we summarize the scientific goals of the DLS, field and filter selection, observing techniques and current status, data reduction, data products and release, and transient detections. Finally, we discuss some lessons which might apply to future large surveys such as LSST