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Oscillation Results for Linear Matrix Hamiltonian Systems
Rocky Mountain Journal of Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yuan Gong, Meng, Fanwei
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Measure of the potential valleys of the supermembrane theory
Physics Letters B, 2019 We analyse the measure of the regularized matrix model of the supersymmetric potential valleys, Ω, of the Hamiltonian of non zero modes of supermembrane theory. This is the same as the Hamiltonian of the BFSS matrix model.
Lyonell Boulton +2 more
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Quantum chaos and regularity in $\Phi^4$ theory
, 2003 We check the eigenvalue spectrum of the $\Phi^{4}_{1+1}$ Hamiltonian against Poisson or Wigner behavior predicted from random matrix theory. We discuss random matrix theory as a tool to discriminate the validity of a model Hamiltonian compared to an ...
Bittner +11 more
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Betatron coupling: Merging Hamiltonian and matrix approaches
Physical Review Special Topics. Accelerators and Beams, 2005 Betatron coupling is usually analyzed using either matrix formalism or Hamiltonian perturbation theory. The latter is less exact but provides a better physical insight. In this paper direct relations are derived between the two formalisms.
R. Calaga, R. Tomás, A. Franchi
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Advances in Mathematical Physics, 2016 A new type of two-component Casimir-Qiao-Liu type hierarchy (2-CQLTH) is produced from a new spectral problem and their bi-Hamiltonian structures are constructed.
Juhui Zhang, Yuqin Yao
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Time-Dependent Hamiltonian Reconstruction Using Continuous Weak Measurements
PRX Quantum, 2023 Reconstructing the Hamiltonian of a quantum system is an essential task for characterizing and certifying quantum processors and simulators. Existing techniques either rely on projective measurements of the system before and after coherent time evolution
Karthik Siva +11 more
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Hermitian Hamiltonians: Matrix versus Schr${��}$dinger's
, 2016 We draw attention to the fact that a Hermitian matrix is always diagonalizable and has real discrete spectrum whereas the Hermitian Schr{ }dinger Hamiltonian: $H=p^2/2 +V(x)$, may not be so. For instance when $V(x)=x, x^3, -x^2$, $H$ does not have even one real discrete eigenvalue. Textbooks do not highlight this distinction. However, if $H$ has real
Ahmed, Zafar +3 more
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Oscillation Criteria for Linear Matrix Hamiltonian Systems
Journal of Differential Equations, 2000 The authors give some oscillation criteria for the linear matrix Hamiltonian system: \[ U'=A(x)U+B(x)V,\;V'=C(x)U-A^*(x)V,\tag{*} \] where \(A(x)\), \(B(x)=B^* (x)>0\) and \(C(x)=C^*(x)\) are real continuous \(n\times n\)-matrix functions on the interval \([a,\infty)\).
Kumari, I.Sowjanya, Umamaheswaram, S.
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Journal of Function Spaces, 2020 In this paper, we consider the reducibility of the quasiperiodic linear Hamiltonian system ẋ=A+εQt, where A is a constant matrix with possible multiple eigenvalues, Qt is analytic quasiperiodic with respect to t, and ε is a small parameter.
Nina Xue, Wencai Zhao
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AIMS Mathematics, 2022 The gl3(C) rational Gaudin model governed by 3×3 Lax matrix is applied to study the three-wave resonant interaction system (TWRI) under a constraint between the potentials and the eigenfunctions.
Xue Geng, Liang Guan, Dianlou Du
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