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Approximate KMS states for scalar and spinor fields in Friedmann-Robertson-Walker spacetimes
Approximate KMS scala spinor fields Friedmann-Robertson-Walker spacetimes
2010/12/16
We construct and discuss Hadamard states for both scalar and Dirac spinor fields in a large
class of spatially flat Friedmann-Robertson-Walker spacetimes characterised by an initial phase either of e...
Measurement error and convolution in generalized functions spaces
Measurement error convolution generalized functions spaces
2010/12/9
This paper considers convolution equations that arise from problems such as deconvolution and non-parametric regression with errors in variables. The equations are examined in spaces of generalized fu...
Topological invariants from non-restricted quantum groups
Topological invariants non-restricted quantum groups
2010/12/9
We introduce the notion of a relative spherical category. We prove that such a category
gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants de ned in [12] and [17], respe...
Spatially regularized compressed sensing of diffusion MRI data
Spatially regularized compressed diffusion MRI data
2010/12/3
Despite the relative recency of its inception, the theory of compres-sive sampling (aka compressed sensing) (CS) has already revolutionized multiple areas of applied sciences, a particularly important...
Complementarity in categorical quantum mechanics
Complementarity categorical quantum mechanics
2010/12/15
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices.
Minimal representations of conformal groups and generalized Laguerre functions
Minimal representations conformal groups generalized Laguerre functions
2010/12/10
We give a unified construction of the minimal representation of a finite cover G of the conformal group of a (non necessarily euclidean) Jordan algebra V . This representation is realized on the L2-sp...
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
Quantum One-Way Communication Classical Communication
2010/12/15
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error)
protocol requires po...
When Everything hinges On Gravitation
When Gravitation
2010/12/15
Newton’s basic ideas developed and evolved throughout his career and changed in sometimes surprisingly profound ways. In this paper I propose an outline of the evolution of Newton's conceptual framewo...
Positive Quantization in the Presence of a Variable Magnetic Field
Magnetic field pseudodifferential operator coherent state Berezin operator Bargmann transform
2010/12/3
Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantizatio...
Equivariant quantization of spin systems
conformal geometry pseudomechanics spin geometry equivariant quantization
2010/12/3
We investigate the geometric and conformally equivariant quantizations of the supercotangent
bundle of a pseudo-Riemannian manifold (M,g), which is a model for the phase space of a classical spin par...
Nontrivial realization of the space-time translations in the theory of quantum fields
Nontrivial realization of the space-time translations theory of quantum fields
2010/12/15
In standard quantum field theory, the one–particle states are classified by unitary epresentations of the Poincar´e group, whereas the causal fields’ classification employs the finite dimensiona...
Information theory of quantum systems with some hydrogenic applications
information theory quantummechanics Fisher information Shannon entropy
2010/12/15
The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed.
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/16
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...
Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
Reformulation Covering Quantizer Problems Ground States
2010/12/16
It is known that the sphere packing problem and the number variance problem (closely related
to an optimization problem in number theory) can be posed as energy minimizations associated
with an infi...
Quantum W-symmetry in AdS_3
Quantum W-symmetry AdS_3
2010/12/16
It has recently been argued that, classically, massless higher spin theories in AdS3 have an enlarged WN-symmetry as the algebra of asymptotic isometries.In this note we provide evidence that this sym...