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Spectral theory for 1-body Stark operators

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Spectral theory for 1-body Stark operators. / Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E.

In: Journal of Differential Equations, Vol. 268, No. 9, 2020, p. 5179-5206.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Harvard

Adachi, T, Itakura, K, Ito, K & Skibsted, E 2020, 'Spectral theory for 1-body Stark operators', Journal of Differential Equations, vol. 268, no. 9, pp. 5179-5206. https://doi.org/10.1016/j.jde.2019.11.006

APA

Adachi, T., Itakura, K., Ito, K., & Skibsted, E. (2020). Spectral theory for 1-body Stark operators. Journal of Differential Equations, 268(9), 5179-5206. https://doi.org/10.1016/j.jde.2019.11.006

CBE

Adachi T, Itakura K, Ito K, Skibsted E. 2020. Spectral theory for 1-body Stark operators. Journal of Differential Equations. 268(9):5179-5206. https://doi.org/10.1016/j.jde.2019.11.006

MLA

Adachi, T. et al. "Spectral theory for 1-body Stark operators". Journal of Differential Equations. 2020, 268(9). 5179-5206. https://doi.org/10.1016/j.jde.2019.11.006

Vancouver

Adachi T, Itakura K, Ito K, Skibsted E. Spectral theory for 1-body Stark operators. Journal of Differential Equations. 2020;268(9):5179-5206. https://doi.org/10.1016/j.jde.2019.11.006

Author

Adachi, T. ; Itakura, K. ; Ito, K. ; Skibsted, E. / Spectral theory for 1-body Stark operators. In: Journal of Differential Equations. 2020 ; Vol. 268, No. 9. pp. 5179-5206.

Bibtex

@article{f0897c66a1834e1d9e363ddd784dfc38,
title = "Spectral theory for 1-body Stark operators",
abstract = "We investigate spectral theory for a one-body Stark Hamiltonian under minimum regularity and decay conditions on the potential (actually allowing sub-linear growth at infinity). Our results include Rellich's theorem, the limiting absorption principle, radiation condition bounds and Sommerfeld's uniqueness, and most of these are stated and proved in sharp form employing Besov-type spaces. For the proofs we adopt a commutator scheme by Ito–Skibsted [13]. A feature of the paper is a special choice of an escape function related to parabolic coordinates, which conforms well with classical mechanics for the Stark Hamiltonian. The whole setting of the paper, such as the conjugate operator and the Besov-type spaces, is generated by this single escape function. We apply our results in the sequel paper [5].",
author = "T. Adachi and K. Itakura and K. Ito and E. Skibsted",
year = "2020",
doi = "10.1016/j.jde.2019.11.006",
language = "English",
volume = "268",
pages = "5179--5206",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press",
number = "9",

}

RIS

TY - JOUR

T1 - Spectral theory for 1-body Stark operators

AU - Adachi, T.

AU - Itakura, K.

AU - Ito, K.

AU - Skibsted, E.

PY - 2020

Y1 - 2020

N2 - We investigate spectral theory for a one-body Stark Hamiltonian under minimum regularity and decay conditions on the potential (actually allowing sub-linear growth at infinity). Our results include Rellich's theorem, the limiting absorption principle, radiation condition bounds and Sommerfeld's uniqueness, and most of these are stated and proved in sharp form employing Besov-type spaces. For the proofs we adopt a commutator scheme by Ito–Skibsted [13]. A feature of the paper is a special choice of an escape function related to parabolic coordinates, which conforms well with classical mechanics for the Stark Hamiltonian. The whole setting of the paper, such as the conjugate operator and the Besov-type spaces, is generated by this single escape function. We apply our results in the sequel paper [5].

AB - We investigate spectral theory for a one-body Stark Hamiltonian under minimum regularity and decay conditions on the potential (actually allowing sub-linear growth at infinity). Our results include Rellich's theorem, the limiting absorption principle, radiation condition bounds and Sommerfeld's uniqueness, and most of these are stated and proved in sharp form employing Besov-type spaces. For the proofs we adopt a commutator scheme by Ito–Skibsted [13]. A feature of the paper is a special choice of an escape function related to parabolic coordinates, which conforms well with classical mechanics for the Stark Hamiltonian. The whole setting of the paper, such as the conjugate operator and the Besov-type spaces, is generated by this single escape function. We apply our results in the sequel paper [5].

UR - http://www.scopus.com/inward/record.url?scp=85075354032&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2019.11.006

DO - 10.1016/j.jde.2019.11.006

M3 - Journal article

AN - SCOPUS:85075354032

VL - 268

SP - 5179

EP - 5206

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 9

ER -