Christoffel transforms and Hermitian linear functionals [PDF]
Mediterranean Journal of Mathematics, 2005 8 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.MR#: MR2192525 (2006h:42044)Zbl#: Zbl 1121.42017In this contribution we are focused on some spectral transformations of Hermitian linear functionals.
Hernández, Javier +1 more
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Verblunsky parameters and linear spectral transformations [PDF]
, 2009 18 pages, no figures.-- MSC2000 codes: 42C05.In this paper we analyze the behavior of Verblunsky parameters for hermitian linear functionals deduced from canonical linear spectral transformations of a quasi-definite hermitian linear functional.
Garza, Luis +1 more
core +3 more sources
Three-Hilbert-Space Formulation of Quantum Mechanics [PDF]
, 2009 In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present continuation of this study (with the spaces in question
Znojil, Miloslav
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Some remarks on the GNS representations of topological $^*$-algebras [PDF]
, 2008 After an appropriate restatement of the GNS construction for topological $^*$-algebras we prove that there exists an isomorphism among the set $\cycl(A)$ of weakly continuous strongly cyclic $^*$-representations of a barreled dual-separable $^*$-algebra ...
Belanger A. +3 more
core +5 more sources
Stochastic dynamics of determinantal processes by integration by parts [PDF]
, 2014 We derive an integration by parts formula for functionals of determinantal processes on compact sets, completing the arguments of [4]. This is used to show the existence of a configuration-valued diffusion process which is non-colliding and admits the ...
Decreusefond, Laurent +3 more
core +7 more sources
Quasiparticle properties in a density functional framework [PDF]
, 2006 We propose a framework to construct the ground-state energy and density matrix of an N-electron system by solving selfconsistently a set of single-particle equations.
A. B. Migdal +16 more
core +3 more sources
Determinism and a supersymmetric classical model of quantum fields [PDF]
, 2005 A quantum field theory is described which is a supersymmetric classical model. -- Supersymmetry generators of the system are used to split its Liouville operator into two contributions, with positive and negative spectrum, respectively.
Elze, Hans-Thomas
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Self-Consistent Separable Rpa Approach for Skyrme Forces: Axial Nuclei [PDF]
, 2005 The self-consistent separable RPA (random phase approximation) method is formulated for Skyrme forces with pairing. The method is based on a general self-consistent procedure for factorization of the two-body interaction.
A. Bohr +14 more
core +3 more sources
Turning the Quantum Group Invariant XXZ Spin-Chain Hermitian: A Conjecture on the Invariant Product
, 2007 This is a continuation of a previous joint work with Robert Weston on the quantum group invariant XXZ spin-chain (math-ph/0703085). The previous results on quasi-Hermiticity of this integrable model are briefly reviewed and then connected with a new ...
Alcaraz F C +10 more
core +1 more source
Representations of $*$-semigroups associated to invariant kernels with values adjointable operators. I [PDF]
, 2015 We consider positive semidefinite kernels valued in the $*$-algebra of adjointable operators on a VE-space (Vector Euclidean space) and that are invariant under actions of $*$-semigroups.
Ay, Serdar, Gheondea, Aurelian
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