Results 41 to 50 of about 2,226,866 (302)
Spectral correlations are a powerful tool to study the dynamics of quantum many-body systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix theory spectral correlations.
Antonio M. García-García+2 more
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Family of Hermitian Low-Momentum Nucleon Interactions with Phase Shift Equivalence [PDF]
Using a Schmidt orthogonalization transformation, a family of Hermitian low-momentum NN interactions is derived from the non-Hermitian Lee-Suzuki (LS) low-momentum NN interaction. As special cases, our transformation reproduces the Hermitian interactions
D. B. Kaplan+16 more
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The spectrum of a Hermitian matrix sum
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Robert C. Thompson+2 more
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Mathematical Foundations of the Non-Hermitian Skin Effect [PDF]
We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of the system ...
H. Ammari+4 more
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Ranks of a Constrained Hermitian Matrix Expression with Applications
We establish the formulas of the maximal and minimal ranks of the quaternion Hermitian matrix expression C4−A4XA4∗ where X is a Hermitian solution to quaternion matrix equations A1X=C1, XB1=C2, and A3XA3*=C3.
Shao-Wen Yu
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Perturbations of the eigenprojections of a factorized Hermitian matrix
We give the perturbation bounds for the eigenprojections of a Hermitian matrix H=GJG^*, where G has full column rank and J is nonsingular, under the perturbations of the factor G. Our bounds hold, for example, when G is given with elementwise relative error.
Ivan Slapničar, Krešimir Veselić
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Pseudo‐Hermitian random matrix theory [PDF]
AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible.
Shashi C. L. Srivastava, Sudhir R. Jain
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The Hermitian -Conjugate Generalized Procrustes Problem
We consider the Hermitian -conjugate generalized Procrustes problem to find Hermitian -conjugate matrix such that is minimum, where , , , and (, ) are given complex matrices, and and are positive integers. The expression of the solution to Hermitian
Hai-Xia Chang+2 more
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Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence [PDF]
The correspondence between domain-wall and cosmological solutions of gravity coupled to scalar fields is explained. Any domain wall solution that admits a Killing spinor is shown to correspond to a cosmology that admits a pseudo-Killing spinor: whereas ...
Kostas Skenderis+3 more
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Exact correlators in the Gaussian Hermitian matrix model
We present the W1+∞ constraints for the Gaussian Hermitian matrix model, where the constructed constraint operators yield the W1+∞ n-algebra. For the Virasoro constraints, we note that the constraint operators give the null 3-algebra.
Bei Kang+4 more
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