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Passivity and microlocal spectrum condition
 COMMUN MATH PHYS 214:705–731
, 2000
"... In the setting of vectorvalued quantum fields obeying a linear waveequation in a globally hyperbolic, stationary spacetime, it is shown that the twopoint functions of passive quantum states (mixtures of ground or KMSstates) fulfill the microlocal spectrum condition (which in the case of the ca ..."
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Cited by 29 (3 self)
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In the setting of vectorvalued quantum fields obeying a linear waveequation in a globally hyperbolic, stationary spacetime, it is shown that the twopoint functions of passive quantum states (mixtures of ground or KMSstates) fulfill the microlocal spectrum condition (which in the case
Microlocal spectrum condition and Hadamard form . . .
, 2000
"... The characterization of Hadamard states in terms of a specific form of the wavefront set of their twopoint functions has been developed some years ago by Radzikowski for scalar fields on a fourdimensional globally hyperbolic spacetime, and initiated a major progress in the understanding of Hadam ..."
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Cited by 48 (4 self)
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The characterization of Hadamard states in terms of a specific form of the wavefront set of their twopoint functions has been developed some years ago by Radzikowski for scalar fields on a fourdimensional globally hyperbolic spacetime, and initiated a major progress in the understanding of Hadamard states and the further development of quantum field theory in curved spacetime. In the present work, the characterization of Hadamard states through a particular form of the wavefront set of their twopoint functions will be generalized from scalar fields to vector fields (sections in a vector bundle) which are subject to a waveequation and are quantized so as to fulfill the covariant canonical commutation relations, or which obey a Dirac equation and are quantized according to the covariant anticommutation relations, in any globally hyperbolic spacetime having dimension three or higher. In proving this result, a gap which is present in the published proof for the scalar field case will be removed. Moreover we determine the shortdistance scaling limits of Hadamard states for vectorbundle valued fields, finding them to coincide with the corresponding flatspace, massless vacuum states.
grqc/9510056 THE MICROLOCAL SPECTRUM CONDITION AND WICK POLYNOMIALS OF FREE FIELDS ON CURVED SPACETIMES
, 2008
"... Abstract. Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the corresponding npoint distributions, called “microlocal spectrum condition ” (µSC). On Minkowski space, this condition is satisfied as a c ..."
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Abstract. Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the corresponding npoint distributions, called “microlocal spectrum condition ” (µSC). On Minkowski space, this condition is satisfied as a
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 689 (18 self)
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and covariantly constructed from the spacetime metric), a microlocal spectrum condition, an "associativity" condition, and the requirement that the coefficient of the identity in the OPE of the product of a field with its adjoint have positive scaling degree. We prove curved spacetime versions
”Higher Order Structures in Mathematics”,
, 2009
"... microlocal spectrum condition for (generalised) free fields in curved spacetime ..."
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microlocal spectrum condition for (generalised) free fields in curved spacetime
An approach to correlate tandem mass spectral data of peptides with amino acid sequences in a protein database
 J. Am. Soc. Mass Spectrom
, 1994
"... A method to correlate the uninterpreted tandem mass spectra of peptides produced under low energy (lo50 eV) collision conditions with amino acid sequences in the Genpept database has been developed. In this method the protein database is searched to identify linear amino acid sequences within a mas ..."
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Cited by 944 (19 self)
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A method to correlate the uninterpreted tandem mass spectra of peptides produced under low energy (lo50 eV) collision conditions with amino acid sequences in the Genpept database has been developed. In this method the protein database is searched to identify linear amino acid sequences within a
Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media
 IEEE Trans. Antennas and Propagation
, 1966
"... The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium are in ..."
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Cited by 1048 (0 self)
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are investi [2] T. Tamir and A. A. Oliner, “The spectrum of electromagnetic waves guided by a plasma layer, ” Proc. IEEE, vol. 51, pp. 317gated for the case in which the static magnetic field is 332, February 1963. oriented perpendicular to the plane interface. It is [3] &I. A. Gintsburg, “Surface waves
Ultrawide bandwidth timehopping spread spectrum impulse radio for wireless access communications
 IEEE TRANS. COMMUN
, 2000
"... Attractive features of timehopping spreadspectrum multipleaccess systems employing impulse signal technology are outlined, and emerging design issues are described. Performance of such communications systems in terms of achievable transmission rate and multipleaccess capability are estimated fo ..."
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Cited by 456 (16 self)
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Attractive features of timehopping spreadspectrum multipleaccess systems employing impulse signal technology are outlined, and emerging design issues are described. Performance of such communications systems in terms of achievable transmission rate and multipleaccess capability are estimated
Microlocal analysis and interacting quantum field theory: Renormalizability on Physical Backgrounds
, 1999
"... We present a perturbative construction of interacting quantum field theories on smooth globally hyperbolic (curved) spacetimes. We develop a purely local version of the StückelbergBogoliubovEpsteinGlaser method of renormalization by using techniques from microlocal analysis. Relying on recent r ..."
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Cited by 160 (22 self)
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results of Radzikowski, Köhler and the authors about a formulation of a local spectrum condition in terms of wave front sets of correlation functions of quantum fields on curved spacetimes, we construct timeordered operatorvalued products of Wick polynomials of free fields. They serve as building blocks
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