On the perturbation series for eigenvalues and eigenprojections
A standard perturbation result states that perturbed eigenvalues and eigenprojections admit a perturbation series provided that the operator norm of the perturbation is smaller than a constant times the corresponding eigenvalue isolation distance. In this paper, we show that the same holds true under a weighted condition, where the perturbation is ...
openaire +3 more sources
Excited States of Coherent Harmonic Qubits With Long‐Range Photon Coupling and Dissipation
When N qubits are strongly coupled with photons in a cavity, they can condense into a ground state with negative energy gap. Some new information is found on coherent transitions among excited states of this system, by simulating them numerically for small N.
L. Gamberale, G. Modanese
wiley +1 more source
This paper deals with the modelling and small signal stability analysis for the two areas interconnected power system using a load frequency controller. The eigenvalues and the participation factor analysis are used to examine the small signal stability ...
Ravi Shankar +2 more
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Studies in Perturbation Theory. XI. Lower Bounds to Energy Eigenvalues, Ground State, and Excited States [PDF]
Per‐Olov Löwdin
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Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems
A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam +3 more
wiley +1 more source
Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
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On nonlinear perturbations of the eigenvalues of a compact self-adjoint operator [PDF]
Melvyn S. Berger
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Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices
It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
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Thermoelastic Cylinder Subjected to Suddenly Applied Radial Symmetric Pressure
Stresses, temperature and oscillations of a thermoelastic cylinder suddenly cxposed to the radial symmetric pressure are analyzed in the paper. Solution of the corresponding eigenvalue problem is obtained by means of the perturbation technique, so that
M.M. Marjanov
doaj
Two‐Time Approach to Past–Future Quantum Dynamics: Formalism and Applications
A two‐time extension of the past‐future quantum state formalism is presented, describing systems with forward‐ and backward‐evolving states at distinct times. Using this framework, two‐time weak values are defined and applied them to Berry phase, spontaneous decay, and dwell time.
Le Bin Ho
wiley +1 more source

