332,478 research outputs found
Kurtosis transformation and kurtosis ordering
Leptokurtic distributions can be generated by applying certain non-linear transformations to a standard normal random variable. Within this work we derive general conditions for these transformations which guarantee that the generated distributions are ordered with respect to the partial ordering of van Zwet for symmetric distributions and the partial ordering of MacGillivray for arbitrary distributions. In addition, we propose a general power transformation which nests the H-, J- and K-transformations which have already been proposed in the literature. Within this class of power transformations the above mentioned condition can be easily verified and the power can be interpreted as parameter of leptokurtosis. --Power kurtosis transformation,leptokurtosis,kurtosis ordering
New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case
As a natural extension of Fan's paper (arXiv: 0903.1769vl [quant-ph]) by
employing the formula of operators' Weyl ordering expansion and the bipartite
entangled state representation we find new two-fold complex integration
transformation about the Wigner operator (in its entangled form) in phase space
quantum mechanics and its inverse transformation. In this way, some operator
ordering problems can be solved and the contents of phase space quantum
mechanics can be enriched.Comment: 8 pages, 0 figure
A General Framework for Well-Structured Graph Transformation Systems
Graph transformation systems (GTSs) can be seen as wellstructured transition
systems (WSTSs), thus obtaining decidability results for certain classes of
GTSs. In earlier work it was shown that wellstructuredness can be obtained
using the minor ordering as a well-quasiorder. In this paper we extend this
idea to obtain a general framework in which several types of GTSs can be seen
as (restricted) WSTSs. We instantiate this framework with the subgraph ordering
and the induced subgraph ordering and apply it to analyse a simple access
rights management system.Comment: Extended version (including proofs) of a paper accepted at CONCUR
201
On Normal ordering and Canonical transformations in Thermal Field Theory
We look at a real scalar field in thermal equilibrium in the context of the
new normal ordering and field split defined by Evans and Steer. We show that
the field split defines a natural canonical transformation, but that this
transformation differs from others known in thermal field theory.Comment: 13 pages, LaTeX. (Revisions made to discussion and various small
errors in equations corrected
Solution of the noncanonicity puzzle in General Relativity: a new Hamiltonian formulation
We study the transformation leading from Arnowitt, Deser, Misner (ADM)
Hamiltonian formulation of General Relativity (GR) to the metric
Hamiltonian formulation derived from the Lagrangian density which was firstly
proposed by Einstein. We classify this transformation as gauged canonical -
i.e. canonical modulo a gauge transformation. In such a study we introduce a
new Hamiltonian formulation written in ADM variables which differs from the
usual ADM formulation mainly in a boundary term firstly proposed by Dirac.
Performing the canonical quantization procedure we introduce a new functional
phase which contains an explicit dependence on the fields characterizing the
3+1 splitting. Given a specific regularization procedure our new formulation
privileges the symmetric operator ordering in order to: have a consistent
quantization procedure, avoid anomalies in constraints algebra, be equivalent
to the Wheeler-DeWitt (WDW) quantization. Furthermore we show that this result
is consistent with a path-integral approach.Comment: Accepted for Publication in Physics Letters B. Major revisions in
Canonical Quantization section for operator ordering choice and in the
definition of 'gauged canonicity' for the classical analysis. 19 pages single
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