Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Khmelnytskaya, Kira V."'
A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and
Externí odkaz:
http://arxiv.org/abs/2308.01911
The inverse problem of recovery of a potential on a quantum tree graph from Weyl's matrix given at a number of points is considered. A method for its numerical solution is proposed. The overall approach is based on the leaf peeling method combined wi
Externí odkaz:
http://arxiv.org/abs/2302.05970
The problem of recovery of a potential on a quantum star graph from Weyl's matrix given at a finite number of points is considered. A method for its approximate solution is proposed. It consists in reducing the problem to a two-spectra inverse Sturm-
Externí odkaz:
http://arxiv.org/abs/2210.15536
The time-dependent Maxwell system describing electromagnetic wave propagation in inhomogeneous isotropic media in the one-dimensional case reduces to a Vekua-type equation for bicomplex-valued functions of a hyperbolic variable, see arXiv:1001.0552.
Externí odkaz:
http://arxiv.org/abs/1910.14438
The representations of the kernels of the transmutation operator and of its inverse relating the one-dimensional Schr\"odinger operator with the second derivative are obtained in terms of the eigenfunctions of a corresponding Sturm-Liouville problem.
Externí odkaz:
http://arxiv.org/abs/1812.10513
Publikováno v:
Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE-2017, (2017) 1198-1206
Recent results on the construction and applications of the transmutation (transformation) operators are discussed. Three new representations for solutions of the one-dimensional Schr\"odinger equation are considered. Due to the fact that they are obt
Externí odkaz:
http://arxiv.org/abs/1708.00505
Akademický článek
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Publikováno v:
J. Math. Phys. 57, 051503 (2016)
The time-dependent Maxwell system describing electromagnetic wave propagation in inhomogeneous isotropic media in the one-dimensional case reduces to a Vekua-type equation for bicomplex-valued functions of a hyperbolic variable (see arXiv:1001.0552).
Externí odkaz:
http://arxiv.org/abs/1410.4873
Let (a,b) be a finite interval and 1/p, q, r be functions from L1(a,b). We show that a general solution (in the weak sense) of the equation (pu')'+qu = zru on (a,b) can be constructed in terms of power series of the spectral parameter z. The series c
Externí odkaz:
http://arxiv.org/abs/1405.5632
Akademický článek
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