Results 61 to 70 of about 910,007 (330)
In this paper, we present a method to solve the quantum marginal problem for symmetric d -level systems. The method is built upon an efficient semi-definite program that uses the compatibility conditions of an m -body reduced density with a global n ...
Albert Aloy, Matteo Fadel, Jordi Tura
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
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PT-Symmetric Representations of Fermionic Algebras
A recent paper by Jones-Smith and Mathur extends PT-symmetric quantum mechanics from bosonic systems (systems for which $T^2=1$) to fermionic systems (systems for which $T^2=-1$).
A. Messiah +3 more
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Plasma‐assisted hybrid friction stir welding of dissimilar AlCu joints employs localized plasma preheating to balance heat input and enhance plastic flow. The optimized process reduces axial force by up to 35%, refines the microstructure, and achieves ≈96% joint efficiency.
Deepak Kumar Yaduwanshi +3 more
wiley +1 more source
Inverse Numerical Range and Determinantal Quartic Curves
A hyperbolic ternary form, according to the Helton–Vinnikov theorem, admits a determinantal representation of a linear symmetric matrix pencil. A kernel vector function of the linear symmetric matrix pencil is a solution to the inverse numerical range ...
Mao-Ting Chien, Hiroshi Nakazato
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Comment on "PT Symmetry as a Generalization of Hermiticity" [arXiv:1002.2676]
We notice that the general PT-symmetric Hamiltonian matrix(N=2) having 6-real parameters fails to reproduce one parameter PT-symmetric matrix.Comment: Title unchanged ,one ref [5] added . Abstract changed .
Mohapatra, P., Rath, B.
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In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
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A note on multilevel Toeplitz matrices
Chien, Liu, Nakazato and Tam proved that all n × n classical Toeplitz matrices (one-level Toeplitz matrices) are unitarily similar to complex symmetric matrices via two types of unitary matrices and the type of the unitary matrices only depends on the ...
Cao Lei, Koyuncu Selcuk
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Apolarity for determinants and permanents of generic matrices [PDF]
We show that the apolar ideals to the determinant and permanent of a generic matrix, the Pfaffian of a generic skew symmetric matrix and the Hafnian of a generic symmetric matrix are each generated in degree two.
Shafiei, Masoumeh Sepideh
core
Non-commutative polynomials with convex level slices
Let a and x denote tuples of (jointly) freely noncommuting variables. A square matrix valued polynomial p in these variables is naturally evaluated at a tuple (A,X) of symmetric matrices with the result p(A,X) a square matrix.
Dym, Harry +2 more
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