Scattering on Leaky Wires in Dimension Three

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F19%3A00506266" target="_blank" >RIV/61389005:_____/19:00506266 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/978-3-030-12661-2" target="_blank" >http://dx.doi.org/10.1007/978-3-030-12661-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-12661-2" target="_blank" >10.1007/978-3-030-12661-2</a>

Result language

angličtina

Original language name

Scattering on Leaky Wires in Dimension Three

Original language description

We consider the scattering problem for a class of strongly singular Schrödinger operators in L2 (R3) which can be formally written as H alpha, gamma = −delta + beta alpha(x - gamma),where alpha = R is the coupling parameter and gamma is an infinite curve which is a local smooth deformation of a straight line Sigma subset of R3. Using Kato–Birman method, we prove that the wave operators omega +/-(H alpha,gamma, H alpha,Sigma) exist and are complete.

Czech name

—

Czech description

—

Type

C - Chapter in a specialist book

CEP classification

—

OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name

Springer Optimization and Its Applications

ISBN

978-3-030-12661-2

Number of pages of the result

11

Pages from-to

81-91

Number of pages of the book

419

Publisher name

Springer

Place of publication

Basel

UT code for WoS chapter

—