A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields
- Authors: Duong A.T.1
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Affiliations:
- Department of Mathematics, Hanoi National University of Education
- Issue: Vol 51, No 4 (2017)
- Pages: 270-282
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234358
- DOI: https://doi.org/10.1007/s10688-017-0193-0
- ID: 234358
Cite item
Abstract
In this paper we generalize a trace formula due to D. Robert involving the spectral shift function. We then give applications to the study of the high-energy and the semiclassical asymptotics of the spectral shift function for a Stark Hamiltonian with nonconstant magnetic field.
About the authors
Anh Tuan Duong
Department of Mathematics, Hanoi National University of Education
Author for correspondence.
Email: tuanda@hnue.edu.vn
Viet Nam, Hanoi
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