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OPERATORS WITH COMPACT IMAGINARY PART
"... In this note we initiate a study of the old unsolved problem whether every T ∈ L(H) of the form T = H + iK with K compact has a nontrivial invariant subspace, using [6] as our main tool. In case K ≥ 0 we obtain some positive results. 1. Let H be a separable, infinite dimensional, complex Hilbert spa ..."
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spectrum, and essential (Calkin) norm of T, respectively, and C∗(S) for the unital C∗algebra generated by a collection S ⊂ L(H). We remind the reader that the question whether every operator T in L(H) with compact imaginary part (i.e., T = H + iK with H, K selfadjoint and K ∈ K) has a nontrivial invariant
Role of the imaginary part in the Moyal quantization
, 2001
"... We show that the imaginary part of the ⋆genvalue equation in the Moyal quantization reveals the symmetries of the Hamiltonian by which we obtain the conserved quantities. Applying to the Toda lattice equation, we derive conserved quantities which are used as the independent variables of Wigner func ..."
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We show that the imaginary part of the ⋆genvalue equation in the Moyal quantization reveals the symmetries of the Hamiltonian by which we obtain the conserved quantities. Applying to the Toda lattice equation, we derive conserved quantities which are used as the independent variables of Wigner
Imaginary part of the electromagnetic lepton form factors
, 1998
"... The charge F1(0) and the magnetic F2(0) form factors of heavy charged leptons have been shown in the framework of the perturbation theory to have imaginary part. The imaginary parts of the form factors for muon and tau lepton have been calculated at the twoloop level in the Standard Model. The effe ..."
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The charge F1(0) and the magnetic F2(0) form factors of heavy charged leptons have been shown in the framework of the perturbation theory to have imaginary part. The imaginary parts of the form factors for muon and tau lepton have been calculated at the twoloop level in the Standard Model
On the signs of the imaginary parts of the effective permittivity and permeability in metamaterials
 J. Opt. Soc. Am. B
, 2010
"... The signs of the imaginary parts of the permittivity and permeability in metamaterials such as split ring resonators and strip wires are investigated. It is shown that the Lorentzian model often used to describe the effective parameters (i.e., the permittivity and permeability) of these metamateria ..."
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Cited by 2 (0 self)
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The signs of the imaginary parts of the permittivity and permeability in metamaterials such as split ring resonators and strip wires are investigated. It is shown that the Lorentzian model often used to describe the effective parameters (i.e., the permittivity and permeability
2003), Combined use of satellite and surface observations to infer the imaginary part of the refractive index of Saharan dust, Geophys
 Res. Lett
"... imaginary part of refractive index of Saharan dust ..."
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Cited by 30 (1 self)
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imaginary part of refractive index of Saharan dust
Unimagined Imaginary Parts in Heavy Quark Effective Field Theory
, 1993
"... We argue that the imaginary parts of the anomalous dimensions in the multiparticle sectors of heavy quark effective field theory may be removed by a suitable redefinition of the multiparticle states. The connection between the imaginary parts of the anomalous dimensions and the interquark potential ..."
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We argue that the imaginary parts of the anomalous dimensions in the multiparticle sectors of heavy quark effective field theory may be removed by a suitable redefinition of the multiparticle states. The connection between the imaginary parts of the anomalous dimensions and the interquark potential
Imaginary part of action, future functioning as hidden variables
 in Proceedings o the conference QTRF5, June 1418, 2009. Vaxjo Sweden, arXive:0911.4005V1 [Quantum Ph
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