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Algebraic Sum
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Brigitte Hiller – One of the best experts on this subject based on the ideXlab platform.

collective modes and current Algebraic Sum rules in nuclear medium
arXiv: Nuclear Theory, 1998CoAuthors: Wojciech Broniowski, Brigitte HillerAbstract:Inmedium 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 isospinasymmetric medium. We present an extensive illustration of the Sum rules with help of quark matter in the NambuJona–Lasinio model. Collective excitations different from the usual meson branches (spinisospin 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.

Collective modes and currentAlgebraic Sum rules in nuclear medium
Nuclear Physics A, 1998CoAuthors: Wojciech Broniowski, Brigitte HillerAbstract:Abstract Inmedium 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 isospinasymmetric medium. We present an extensive illustration of the Sum rules with the help of quark matter in the NambuJonaLasinio model. Collective excitations different from the usual meson branches (spinisospin 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.

Fractional powers of the Algebraic Sum of normal operators
Proceedings of the American Mathematical Society, 2005CoAuthors: 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.

Algebraic Sum of Unbounded Normal Operators and the Square Root Problem of Kato
arXiv: Functional Analysis, 2003CoAuthors: 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.

Schrödinger operators with a singular potential
International Journal of Mathematics and Mathematical Sciences, 2002CoAuthors: 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.

collective modes and current Algebraic Sum rules in nuclear medium
arXiv: Nuclear Theory, 1998CoAuthors: Wojciech Broniowski, Brigitte HillerAbstract:Inmedium 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 isospinasymmetric medium. We present an extensive illustration of the Sum rules with help of quark matter in the NambuJona–Lasinio model. Collective excitations different from the usual meson branches (spinisospin 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.

Collective modes and currentAlgebraic Sum rules in nuclear medium
Nuclear Physics A, 1998CoAuthors: Wojciech Broniowski, Brigitte HillerAbstract:Abstract Inmedium 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 isospinasymmetric medium. We present an extensive illustration of the Sum rules with the help of quark matter in the NambuJonaLasinio model. Collective excitations different from the usual meson branches (spinisospin 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.

On the Ramseyan properties of some special subsets of {$2\sp ømega$} and their Algebraic Sums
Journal of Symbolic Logic, 2002CoAuthors: 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.

the Algebraic Sum of a set of strong measure zero and a perfectly meager set revisited
EastWest Journal of Mathematics, 2000CoAuthors: 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.

The Algebraic Sum of sets of real numbers with strong measure zero sets
Journal of Symbolic Logic, 1998CoAuthors: 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 γproperty 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.
Keqiu Chen – One of the best experts on this subject based on the ideXlab platform.

Current Superposition Law Realized in Molecular Devices Connected in Parallel
The Journal of Physical Chemistry C, 2019CoAuthors: Yanhong Zhou, Xiaohong Zheng, Ziqiang Cheng, Keqiu 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 molecularscale circuits, this rule does not …