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New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators. / Isozaki, H.; Korotyaev, E. L.

In: Russian Journal of Mathematical Physics, Vol. 25, No. 1, 01.01.2018, p. 27-43.

Research output: Contribution to journal › Article › peer-review

Harvard

Isozaki, H & Korotyaev, EL 2018, 'New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators', Russian Journal of Mathematical Physics, vol. 25, no. 1, pp. 27-43. https://doi.org/10.1134/S106192081801003X

APA

Isozaki, H., & Korotyaev, E. L. (2018). New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators. Russian Journal of Mathematical Physics, 25(1), 27-43. https://doi.org/10.1134/S106192081801003X

Vancouver

Isozaki H, Korotyaev EL. New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators. Russian Journal of Mathematical Physics. 2018 Jan 1;25(1):27-43. https://doi.org/10.1134/S106192081801003X

Author

Isozaki, H. ; Korotyaev, E. L. / New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators. In: Russian Journal of Mathematical Physics. 2018 ; Vol. 25, No. 1. pp. 27-43.

BibTeX

@article{5a7508c08d2c46a7a09aa3d8b0e2a022,
title = "New Trace Formulas in Terms of Resonances for Three-Dimensional Schr{\"o}dinger Operators",
abstract = "We consider the Schr{\"o}dinger operator −Δ+V (x) in L2(R3) with a real shortrange (integrable) potential V. Using the associated Fredholm determinant, we present new trace formulas, in particular, on expressed in terms of resonances and eigenvalues only. We also derive expressions of the Dirichlet integral, and the scattering phase. The proof is based on a change of view the point for the above mentioned problems from that of operator theory to that of complex analytic (entire) function theory.",
keywords = "SCATTERING POLES, EFFECTIVE MASSES, WAVE-EQUATION, POTENTIALS, ASYMPTOTICS, DIMENSIONS, SPECTRUM, NUMBER, BOUNDS, LINE",
author = "H. Isozaki and Korotyaev, {E. L.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1134/S106192081801003X",
language = "English",
volume = "25",
pages = "27--43",
journal = "Russian Journal of Mathematical Physics",
issn = "1061-9208",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators

AU - Isozaki, H.

AU - Korotyaev, E. L.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We consider the Schrödinger operator −Δ+V (x) in L2(R3) with a real shortrange (integrable) potential V. Using the associated Fredholm determinant, we present new trace formulas, in particular, on expressed in terms of resonances and eigenvalues only. We also derive expressions of the Dirichlet integral, and the scattering phase. The proof is based on a change of view the point for the above mentioned problems from that of operator theory to that of complex analytic (entire) function theory.

AB - We consider the Schrödinger operator −Δ+V (x) in L2(R3) with a real shortrange (integrable) potential V. Using the associated Fredholm determinant, we present new trace formulas, in particular, on expressed in terms of resonances and eigenvalues only. We also derive expressions of the Dirichlet integral, and the scattering phase. The proof is based on a change of view the point for the above mentioned problems from that of operator theory to that of complex analytic (entire) function theory.

KW - SCATTERING POLES

KW - EFFECTIVE MASSES

KW - WAVE-EQUATION

KW - POTENTIALS

KW - ASYMPTOTICS

KW - DIMENSIONS

KW - SPECTRUM

KW - NUMBER

KW - BOUNDS

KW - LINE

UR - http://www.scopus.com/inward/record.url?scp=85043981596&partnerID=8YFLogxK

U2 - 10.1134/S106192081801003X

DO - 10.1134/S106192081801003X

M3 - Article

AN - SCOPUS:85043981596

VL - 25

SP - 27

EP - 43

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 1

ER -

ID: 35630811