Floquet Hamiltonians with pure point spectrum

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F96%3A00150769" target="_blank" >RIV/68407700:21340/96:00150769 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Floquet Hamiltonians with pure point spectrum

Original language description

We consider Floquet Hamiltonians K for periodically perturbed quantum systems. The spectrum of the unperturbed part is simple discrete and obeying a gap condition, the perturbation is strongly differentiable in time. We show that provided the order of differentiability of the perturbation is large enough, the coupling constant small enough and the frequency non-resonant, then the spectrum of K is pure point. The method we use relies on a successive application of the adiabatic treatment due to Howland and the KAM-type iteration settled by Bellissard and extended by Combescure. Both tools are revisited, adjusted and at some points simplified.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA201%2F94%2F0708" target="_blank" >GA201/94/0708: Stability and Instability in Quantum Systems.</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

1996

Confidentiality

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

Name of the periodical

Communications in Mathematical Physics

ISSN

0010-3616

e-ISSN

1432-0916

Volume of the periodical

177

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

21

Pages from-to

327-347

UT code for WoS article

A1996UG48500003

EID of the result in the Scopus database

2-s2.0-0038587254