The one-loop spectral problem of strongly twisted N$$ \mathcal{N} $$ = 4 Super Yang-Mills theory
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DOI: 10.1007/jhep04(2019)044
Abstract: A bstractWe investigate the one-loop spectral problem of γ-twisted, planar N$$ \mathcal{N} $$ = 4 Super Yang-Mills theory in the double-scaling limit of infinite, imaginary twist angle and vanishing Yang-Mills coupling constant. This non-unitary model… read more here.
Keywords: spectral problem; one loop; loop spectral; mathcal super ... See more keywords
An inverse spectral problem for Sturm–Liouville operators with a large constant delay
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DOI: 10.1007/s13324-017-0176-6
Abstract: We consider the Sturm–Liouville differential equation with a constant delay, which is not less than the half length of the interval. An inverse spectral problem is studied of recovering the potential from subspectra of two… read more here.
Keywords: spectral problem; problem; sturm liouville; inverse spectral ... See more keywords
On nonlinear boundary value problem corresponding to N-dimensional inverse spectral problem
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DOI: 10.1016/j.jde.2018.10.003
Abstract: We establish a relationship between an inverse optimization spectral problem for N-dimensional Schr\"odinger equation $ -\Delta \psi+q\psi=\lambda \psi $ and a solution of the nonlinear boundary value problem $-\Delta u+q_0 u=\lambda u- u^{\gamma-1},~~u>0,~~ u|_{\partial \Omega}=0$.… read more here.
Keywords: value problem; spectral problem; boundary value; problem ... See more keywords
Inverse spectral problem for a third-order differential operator with non-local potential
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DOI: 10.1016/j.jde.2021.09.025
Abstract: Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are described. Direct and inverse problems… read more here.
Keywords: non local; local potential; third order; spectral problem ... See more keywords
A note on the real inverse spectral problem for doubly stochastic matrices
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DOI: 10.1016/j.laa.2019.01.017
Abstract: Abstract The real (resp. symmetric) doubly stochastic inverse spectral problem is the problem of determining necessary and sufficient conditions for a real n-tuple λ = ( 1 , λ 2 , . . . ,… read more here.
Keywords: doubly stochastic; spectral problem; problem; real inverse ... See more keywords
Finding Root Spaces for a Linear Algebraic Spectral Problem
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DOI: 10.1134/s0965542521040126
Abstract: For an algebraic spectral problem that is linear with respect to the spectral parameter, some numerical methods are considered to find the root space corresponding to a chosen eigenvalue. These methods make it possible to… read more here.
Keywords: root spaces; algebraic spectral; finding root; spectral problem ... See more keywords