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66 691 (0,159s)

Result

Spectral asymptotics of a strong delta ' interaction supported by a surface

We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive delta' interaction supported by a smooth surface in R-3, either infinite and asymptotically planar, or compact and closed. Its second ...

BE - Teoretická fyzika

  • 2014
  • Jx
  • Link
Result

Spectral asymptotics for a delta' interaction supported by an infinite curve

In this paper we consider a generalized operator describing an attractive delta' interaction in a strong coupling limit. Delta' interaction is characterized by a coupling parameter and it is supported by a...

BE - Teoretická fyzika

  • 2014
  • D
  • Link
Result

Spectral Asymptotics for a δ' Interaction Supported by an Infinite Curve

In this paper we consider a generalized operator describing an attractive delta' interaction in a strong coupling limit. Delta' interaction is characterized by a coupling parameter and it is supported by a...

BE - Teoretická fyzika

  • 2014
  • D
  • Link
Result

Gaps in the Spectrum of the Laplacian in a Strip with Periodic Delta Interaction

delta interaction. The width of the strip is fixed and for simplicity is chosen equal to pi. The delta interaction is introduced on a periodic system of curves small number. The function describing the delta

Pure mathematics

  • 2019
  • Jimp
  • Link
Result

Asymptotics of eigenvalues of the Schrodinger operator with a strong delta-interaction on a loop.

In this paper we investigate the operator H-beta = -Delta - betadelta((.) - Gamma) in L-2(R-2), where beta > 0 and Gamma is a closed C-4 Jordan curve in R-2. We obtain the asymptotic form of each eigenvalue of H-beta as beta tends to infinit...

BE - Teoretická fyzika

  • 2002
  • Jx
Result

Band gap of the Schrodinger operator with a strong delta-interaction on a periodic curve

In this paper we study the operator H-beta = -Delta - betadelta((.) - Gamma) in L-2(R-2), where Gamma is a smooth periodic curve in R-2. We obtain the asymptotic form of the band spectrum of H-beta as beta tends to infinity. Furthermore, we ...

BE - Teoretická fyzika

  • 2001
  • Jx
Result

Bound states due to a strong delta interaction supported by a curved surface.

We study the Schrodinger operator -Delta-alphadelta(x-Gamma) in L-2(R-3) with a delta interaction supported by an infinite non-planar surface Gamma with is smooth and admits a global normal parametrization with a uniformy e...

BE - Teoretická fyzika

  • 2003
  • Jx
Result

Strong-coupling asymptotic expansion for Schrodinger operators with a singular interaction supported by a curve in R-3

We investigate a class of generalized Schrodinger operators in L-2(R-3) with a singular interaction supported by a smooth curve Gamma. We find a strong-coupling asymptotic expansion of the discrete spectrum in the case when Gamma is...

BE - Teoretická fyzika

  • 2004
  • Jx
Result

Strong chromatic index of K-1,t-free graphs

) on strong chromatic index of K-1,K-t-free graphs with maximum degree Delta for all t >A strong edge-coloring of a graph G is a coloring of the edges of G such that each color class is an induced matching. The strong...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
  • Jimp
  • Link
Result

Scattering by local deformations of a straight leaky wire

We consider a model of a leaky quantum wire with the Hamiltonian -Delta - alpha delta(x - Gamma) in L-2(R-2), where Gamma is a compact deformation of a straight line. The existence of wave operators is proven and the S-matrix is fou...

BE - Teoretická fyzika

  • 2005
  • Jx
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