Imaginary parts of Stark–Wannier resonances
We consider a one-dimensional Stark–Wannier Hamiltonian, H=−d 2 /dx 2 +p(x)−εx, x∈ R , where p is a smooth periodic, finite-gap potential, and ε>0 is small enough. We compute rigorously the imaginary parts of the spectral resonances. For this purpose we develop some related elements of the adiaba...
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| Veröffentlicht in: | Journal of mathematical physics 1998-05, Vol.39 (5), p.2520-2550 |
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| container_title | Journal of mathematical physics |
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| creator | Buslaev, Vladimir Grigis, Alain |
| description | We consider a one-dimensional Stark–Wannier Hamiltonian,
H=−d
2
/dx
2
+p(x)−εx,
x∈
R
,
where
p
is a smooth periodic, finite-gap potential, and
ε>0
is small enough. We compute rigorously the imaginary parts of the spectral resonances. For this purpose we develop some related elements of the adiabatic approach to the equations of the form
−ψ
″
+p(x)ψ+q(εx)ψ=Eψ,
ε→0. |
| doi_str_mv | 10.1063/1.532406 |
| format | Article |
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H=−d
2
/dx
2
+p(x)−εx,
x∈
R
,
where
p
is a smooth periodic, finite-gap potential, and
ε>0
is small enough. We compute rigorously the imaginary parts of the spectral resonances. For this purpose we develop some related elements of the adiabatic approach to the equations of the form
−ψ
″
+p(x)ψ+q(εx)ψ=Eψ,
ε→0.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.532406</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><ispartof>Journal of mathematical physics, 1998-05, Vol.39 (5), p.2520-2550</ispartof><rights>American Institute of Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c293t-d1cceb14c345e0d9997796b50f3866c2394c9845e26bc4fd041882fe526beb0c3</citedby><cites>FETCH-LOGICAL-c293t-d1cceb14c345e0d9997796b50f3866c2394c9845e26bc4fd041882fe526beb0c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.532406$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,780,1553,27904,27905,76138</link.rule.ids></links><search><creatorcontrib>Buslaev, Vladimir</creatorcontrib><creatorcontrib>Grigis, Alain</creatorcontrib><title>Imaginary parts of Stark–Wannier resonances</title><title>Journal of mathematical physics</title><description>We consider a one-dimensional Stark–Wannier Hamiltonian,
H=−d
2
/dx
2
+p(x)−εx,
x∈
R
,
where
p
is a smooth periodic, finite-gap potential, and
ε>0
is small enough. We compute rigorously the imaginary parts of the spectral resonances. For this purpose we develop some related elements of the adiabatic approach to the equations of the form
−ψ
″
+p(x)ψ+q(εx)ψ=Eψ,
ε→0.</description><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><recordid>eNqdj89KxDAYxIMoWFfBR-hRD1m__GmaHGXRdWHBg4rHkH5NpOqmJSmCN9_BN_RJrFR8AE_DMD-GGUJOGSwZKHHBlpXgEtQeKRhoQ2tV6X1SAHBOudT6kBzl_AzAmJayIHSzc09ddOm9HFwac9mH8m506eXr4_PRxdj5VCaf--gi-nxMDoJ7zf7kVxfk4frqfnVDt7frzepyS5EbMdKWIfqGSRSy8tAaY-raqKaCILRSyIWRaPSUcdWgDC1IpjUPvpq8bwDFgpzNvZj6nJMPdkjdbhppGdifm5bZ-eaEns9oxm50Y9fHf7Fvffrj7NAG8Q0TQGBB</recordid><startdate>19980501</startdate><enddate>19980501</enddate><creator>Buslaev, Vladimir</creator><creator>Grigis, Alain</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19980501</creationdate><title>Imaginary parts of Stark–Wannier resonances</title><author>Buslaev, Vladimir ; Grigis, Alain</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c293t-d1cceb14c345e0d9997796b50f3866c2394c9845e26bc4fd041882fe526beb0c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Buslaev, Vladimir</creatorcontrib><creatorcontrib>Grigis, Alain</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Buslaev, Vladimir</au><au>Grigis, Alain</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Imaginary parts of Stark–Wannier resonances</atitle><jtitle>Journal of mathematical physics</jtitle><date>1998-05-01</date><risdate>1998</risdate><volume>39</volume><issue>5</issue><spage>2520</spage><epage>2550</epage><pages>2520-2550</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>We consider a one-dimensional Stark–Wannier Hamiltonian,
H=−d
2
/dx
2
+p(x)−εx,
x∈
R
,
where
p
is a smooth periodic, finite-gap potential, and
ε>0
is small enough. We compute rigorously the imaginary parts of the spectral resonances. For this purpose we develop some related elements of the adiabatic approach to the equations of the form
−ψ
″
+p(x)ψ+q(εx)ψ=Eψ,
ε→0.</abstract><doi>10.1063/1.532406</doi><tpages>31</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 1998-05, Vol.39 (5), p.2520-2550 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_532406 |
| source | AIP Digital Archive |
| title | Imaginary parts of Stark–Wannier resonances |
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