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71 438 (0,211s) •

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Spectral Optimization for Singular Schrodinger Operators

For several classes of singular Schrodinger operators which can be formally written as -Delta - alpha delta (x - Gamma) we discuss the problem of optimization of their principal eigenvalue with respect to the shape of the i...

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

  • 2020
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  • Jimp
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  • Link
Result

Singular Schrodinger operators and Robin billiards Spectral properties and asymptotic expansions

This paper summarizes the contents of a plenary talk at the Pan African Congress of Mathematics held in Rabat in July 2017. We provide a survey of recent results on spectral properties of Schrodinger operators with singular...

Pure mathematics

  • 2020
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  • Jimp
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  • Link
Result

Spectral optimization for strongly singular Schrodinger operators with a star-shaped interaction

We discuss the spectral properties of singular Schrodinger operators in three dimensions with the interaction supported by an equilateral star, finite or infinite. In the finite case, the discrete spectrum is nonempty if th...

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

  • 2020
    • •
  • Jimp
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  • Link
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 one-dimensional Schrodinger operator with a ...

BE - Teoretická fyzika

  • 2004
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  • Jx
Result

Strong Coupling Asymptotics for a Singular Schrodinger Operator with an Interaction Supported by an Open Arc

We consider a singular Schrödinger operator in L 2(?2) written formally as-?-??(x-?) where ? is a C 4 smooth open arc in ?2 of length L with regular ends. It is shown that the jth negative eigenvalue of this operator behave...

BE - Teoretická fyzika

  • 2014
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  • Jx
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Result

On the spectrum of narrow Neumann waveguide with periodically distributed delta ' traps

We analyze a family of singular Schrodinger operators describing a Neumann waveguide with a periodic array of singular traps of a delta' type. We show that in the limit when perpendicular size of the guide tends to...

BE - Teoretická fyzika

  • 2015
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  • Jx
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  • Link
Result

Singular Schrodinger operators with prescribed spectral properties

This paper deals with singular Schrodinger operators of the formnn-d(2)/dx(2) + Sigma(k is an element of Z) gamma(k)delta(. - z(k)), gamma(k) is an element of R,nnin L-2 (l(-), l(+)), where delta(. - z(k)) is the Dirac delt...

Pure mathematics

  • 2022
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  • Jimp
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  • Link
Result

Generalized interactions supported on hypersurfaces

We analyze a family of singular Schrodinger operators with local singular interactions supported by a hypersurface Sigma subset of R-n, n >= 2, being the boundary of a Lipschitz domain, bounded or unbounded, not ne...

BE - Teoretická fyzika

  • 2016
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  • Jx
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  • Link
Result

Hiatus perturbation for a singular Schrodinger operator with an interaction supported by a curve in R-3

We consider Schrodinger operators in L-2(R-3) with a singular interaction supported by a finite curve Gamma. We present a proper definition of the operators and study their properties, in particular, we show that t...

BE - Teoretická fyzika

  • 2008
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  • Jx
Result

Boundary triples for Schrodinger operators with singular interactions on hypersurfaces

The self-adjoint Schrodinger operator A(delta, alpha) with a delta-interaction of constant strength alpha supported on a compact smooth hypersurface C is viewed as a self-adjoint extension of a natural underlying symmetric opera...

BE - Teoretická fyzika

  • 2016
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  • Jx
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