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Algebraic Sum
The Experts below are selected from a list of 258 Experts worldwide ranked by ideXlab platform
Brigitte Hiller – One of the best experts on this subject based on the ideXlab platform.
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collective modes and current Algebraic Sum rules in nuclear medium
arXiv: Nuclear Theory, 1998Co-Authors: Wojciech Broniowski, Brigitte HillerAbstract:In-medium Sum rules following from the chiral charge algebra of QCD are reviewed, and new Sum rules are derived. The new Sum rules relate the I^G(J^{PC})=1^-(0^{++}) excitations (quantum numbers of a_0(980)) to the scalar and isovector densities, and are nontrivial for the isospin-asymmetric medium. We present an extensive illustration of the Sum rules with help of quark matter in the Nambu-Jona–Lasinio model. Collective excitations different from the usual meson branches (spin-isospin sound modes) are shown to contribute significantly to the Sum rules and to play a crucial role in the limit of vanishing current quark masses.
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Collective modes and current-Algebraic Sum rules in nuclear medium
Nuclear Physics A, 1998Co-Authors: Wojciech Broniowski, Brigitte HillerAbstract:Abstract In-medium Sum rules following from the chiral charge algebra of QCD are reviewed, and new Sum rules are derived. The new Sum rules relate the I g (J pc ) = 1 − (0 ++ ) excitations (quantum numbers of a 0 (980)) to the scalar and isovector densities, and are non-trivial for the isospin-asymmetric medium. We present an extensive illustration of the Sum rules with the help of quark matter in the Nambu-Jona-Lasinio model. Collective excitations different from the usual meson branches (spin-isospin sound modes) are shown to contribute significantly to the Sum rules and to play a crucial role in the limit of vanishing current quark masses.
Toka Diagana – One of the best experts on this subject based on the ideXlab platform.
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Fractional powers of the Algebraic Sum of normal operators
Proceedings of the American Mathematical Society, 2005Co-Authors: Toka DiaganaAbstract:The main concern in this paper is to give sufficient conditions such that if A, B are unbounded normal operators on a (complex) Hilbert space H, then for each a e (0,1), the domain D((A+B) α ) equals D(A a ) ∩ Δ(B α ). It is then verified that such a result can be applied to characterize the.domains of fractional powers of a large class of the Hamiltonians with singular potentials arising in quantum mechanics through the study of the Schrodinger equation.
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Algebraic Sum of Unbounded Normal Operators and the Square Root Problem of Kato
arXiv: Functional Analysis, 2003Co-Authors: Toka DiaganaAbstract:We prove that the Algebraic Sum of unbounded normal operators satisfies the square root problem of Kato under appropriate hypotheses. As application, we consider perturbed Schrodinger operators.
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Schrödinger operators with a singular potential
International Journal of Mathematics and Mathematical Sciences, 2002Co-Authors: Toka DiaganaAbstract:This note is devoted to the study of some Schrödinger operators with a singular real potential Q. The potential Q is chosen so that the Algebraic Sum L=−Δ
Wojciech Broniowski – One of the best experts on this subject based on the ideXlab platform.
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collective modes and current Algebraic Sum rules in nuclear medium
arXiv: Nuclear Theory, 1998Co-Authors: Wojciech Broniowski, Brigitte HillerAbstract:In-medium Sum rules following from the chiral charge algebra of QCD are reviewed, and new Sum rules are derived. The new Sum rules relate the I^G(J^{PC})=1^-(0^{++}) excitations (quantum numbers of a_0(980)) to the scalar and isovector densities, and are nontrivial for the isospin-asymmetric medium. We present an extensive illustration of the Sum rules with help of quark matter in the Nambu-Jona–Lasinio model. Collective excitations different from the usual meson branches (spin-isospin sound modes) are shown to contribute significantly to the Sum rules and to play a crucial role in the limit of vanishing current quark masses.
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Collective modes and current-Algebraic Sum rules in nuclear medium
Nuclear Physics A, 1998Co-Authors: Wojciech Broniowski, Brigitte HillerAbstract:Abstract In-medium Sum rules following from the chiral charge algebra of QCD are reviewed, and new Sum rules are derived. The new Sum rules relate the I g (J pc ) = 1 − (0 ++ ) excitations (quantum numbers of a 0 (980)) to the scalar and isovector densities, and are non-trivial for the isospin-asymmetric medium. We present an extensive illustration of the Sum rules with the help of quark matter in the Nambu-Jona-Lasinio model. Collective excitations different from the usual meson branches (spin-isospin sound modes) are shown to contribute significantly to the Sum rules and to play a crucial role in the limit of vanishing current quark masses.
Tomasz Weiss – One of the best experts on this subject based on the ideXlab platform.
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On the Ramseyan properties of some special subsets of {$2\sp ømega$} and their Algebraic Sums
Journal of Symbolic Logic, 2002Co-Authors: Andrzej Nowik, Tomasz WeissAbstract:We prove the following theorems: 1. If X ⊆ 2 ω is a γ -set and Y ⊆2 ω is a strongly meager set, then X + Y is Ramsey null. 2. If X ⊆2 ω is a γ -set and Y belongs to the class of sets, then the Algebraic Sum X + Y is an set as well. 3. Under CH there exists a set X ∈ MGR * which is not Ramsey null.
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the Algebraic Sum of a set of strong measure zero and a perfectly meager set revisited
East-West Journal of Mathematics, 2000Co-Authors: Andrzej Nowik, Tomasz WeissAbstract:We present simple proofs of the following theorems: It is consistent with ZFC that there are a strongly measure zero set X, and a set Y \in \bar{AFC} such that X+Y contains a perfect set. It is consistent with ZFC that there are a setXof universal measure zero, and a strongly meager setY such that X+Y contains a perfect set.
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The Algebraic Sum of sets of real numbers with strong measure zero sets
Journal of Symbolic Logic, 1998Co-Authors: Andrzej Nowik, Marion Scheepers, Tomasz WeissAbstract:We prove the following theorems:(1) If X has strong measure zero and if Y has strong first category, then their Algebraic Sum has property S0.(2) If X has Hurewicz’s covering property, then it has strong measure zero if, and only if, its Algebraic Sum with any first category set is a first category set.(3) If X has strong measure zero and Hurewicz’s covering property then its Algebraic Sum with any set in is a set in . ( is included in the class of sets always of first category, and includes the class of strong first category sets.)These results extend: Fremlin and Miller’s theorem that strong measure zero sets having Hurewicz’s property have Rothberger’s property, Galvin and Miller’s theorem that the Algebraic Sum of a set with the γ-property and of a first category set is a first category set, and Bartoszyfnski and Judah’s characterization of -sets. They also characterize the property (*) introduced by Gerlits and Nagy in terms of older concepts.
Ke-qiu Chen – One of the best experts on this subject based on the ideXlab platform.
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Current Superposition Law Realized in Molecular Devices Connected in Parallel
The Journal of Physical Chemistry C, 2019Co-Authors: Yan-hong Zhou, Xiaohong Zheng, Zi-qiang Cheng, Ke-qiu ChenAbstract:Current from the power supply is equal to the Algebraic Sum of the current passing through each conductor in traditional parallel circuits. However, in molecular-scale circuits, this rule does not …