Coupled Supersymmetry and Ladder Structures Beyond the Harmonic
Oscillator
January 10, 2017
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Physics
Mathematics
Mathematical Physics
Functional Analysis
Mathematical Physics
The development of supersymmetric (SUSY) quantum mechanics has shown that
some of the insights based on the algebraic properties of ladder operators
related to the quantum mechanical harmonic oscillator carry over to the study
of more gener...
Dynamical Generation of Spin Current and Phase Slip in Exciton-Polariton
Condensates
January 8, 2017
Physics
Mesoscale and Nanoscale Physics
We show that how to generate propagation of spin degree in spin-symmetric
exciton-polariton condensates in a semiconductor microcavity. Due to the
stimulated spin-dependent scattering between hot excitons and condensates,
exciton polaritons...
Different Statistical Behaviors of Orbits
January 7, 2017
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Mathematics
Dynamical Systems
Dynamical Systems
In this paper, we will study the statistical behaviors of orbits. Firstly, we
will show that for a dynamical systems have the shadowing property or almost
specification property, the set of nonrecurrent points has full topological
entropy. ...
Arithmetic D-modules on locally noetherian formal schemes
January 5, 2017
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Mathematics
Algebraic Geometry
Algebraic Geometry
We extend Berthelot's theory of arithmetic D-modules to a class of morphisms
that are not necessarily of finite type. As an application we give a new
construction of the category of convergent isocrystals on a separated scheme of
finite typ...
Tunnel number one knots satisfy the Berge Conjecture
January 5, 2017
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Mathematics
Geometric Topology
Let K be a tunnel number one knot in M with irreducible knot exterior,
where M is either S3, or a connected sum of S2×S1 with any lens
space. (In particular, this includes M=S2×S1.) We prove that if a
non-triv...
Abstract Wiener measure using abelian Yang-Mills action on
R4
January 5, 2017
Mathematics
Physics
Probability
Mathematical Physics
Functional Analysis
Mathematical Physics
Let g be the Lie algebra of a compact Lie group. For a
g-valued 1-form A, consider the Yang-Mills action
\begin{equation} S_{{\rm YM}}(A) = \int_{\mathbb{R}^4} \left|dA + A \wedge A
\right|^2\ d\omega \nonumber \...
Measurement-to-Track Association and Finite-Set Statistics
January 5, 2017
Statistics
Methodology
This is a shortened, clarified, and mathematically more rigorous version of
the original arXiv version. Its first four findings remain unchanged from the
original: 1) measurement-to-track associations (MTAs) in multitarget tracking
(MTT) ar...
Local index theorem for orbifold Riemann surfaces
January 3, 2017
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Mathematics
Algebraic Geometry
We derive a local index theorem in Quillen's form for families of
Cauchy-Riemann operators on orbifold Riemann surfaces (or Riemann orbisurfaces)
that are quotients of the hyperbolic plane by the action of cofinite finitely
generated Fuchsi...
Diosi-Penrose criterion for solids and electrical components in quantum
superpositions and application to a single-photon detector
January 2, 2017
Physics
Quantum Physics
The Diosi-Penrose criterion is applied to solids in quantum superpositions
that are slightly displaced against each other or have different expansions in
the superposed states. The calculations take the microscopic mass distribution
of the ...
Phase transition in one-dimensional excitable media with variable
interaction range
January 2, 2017
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Mathematics
Probability
We investigate two discrete models of excitable media on a one-dimensional
integer lattice Z: the κ-color Cyclic Cellular Automaton
(CCA) and the κ-color Firefly Cellular Automaton (FCA). In both models,
sites are a...