Filters
Estimates on trapped modes in deformed quantum layers
We use the logarithmic Lieb-Thirring inequality for two-dimensional Schrodinger operators and establish estimates on trapped modes in geometrically deformed quantum layers....
BE - Teoretická fyzika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Faber-Krahn inequalities for Schrodinger operators with point and with Coulomb interactions
-dimensional Faber-Krahn inequality for the Schrodinger operator with point interaction establish three-dimensional Faber-Krahn inequalities for a one- and two-body Schrodinger operator with attra...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The abstract Birman-Schwinger principle and spectral stability
. As an application, we revisit known results for Schrodinger and Dirac operators in Euclidean spaces and establish new results for Schrodinger operators in three-dimensionalWe discuss abstract Birman-Sc...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Bound states in soft quantum layers
We develop a general approach to study three-dimensional Schrodinger operators with confining potentials depending on the distance to a surface. The main idea is to apply an estimate on the location of the essential spectru...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Analytic solutions of the one-dimensional Schrodinger equation. Some new results and approaches
Analytic solutions of the one-dimensional Schrodinger equation. Some new results and approaches...
BE - Teoretická fyzika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Analytic energies and wave functions of the two-dimensional Schrodinger equation: ground state of two-dimensional quartic potential and classification of solutions
New analytic solutions of the two-dimensional Schrodinger equation with a two-dimensional fourth-order polynomial (i.e., quartic) potential are derived and discussed. The solutions represent the ground state energies and th...
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Strong-coupling asymptotic expansion for Schrodinger operators with a singular interaction supported by a curve in R-3
one-dimensional Schrodinger operator with a potential determined by the curvatureWe investigate a class of generalized Schrodinger operators in L-2(R-3) with a singular interaction supported by a smooth c...
BE - Teoretická fyzika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral properties of soft quantum waveguides
We consider a soft quantum waveguide described by a two-dimensional Schrodinger operator with an attractive potential in the form of a channel of a fixed profile built along an infinite smooth curve which is not straight bu...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Soft quantum waveguides in three dimensions
We discuss a three-dimensional soft quantum waveguide, in other words, Schrodinger operator in R-3 with an attractive potential supported by an infinite tube and by keeping its transverse profile fixed. We show that if the ...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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 large, this operator has a non-empty discrete spectrum and d...
BE - Teoretická fyzika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
- 1 - 10 out of 83 353