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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 4, Pages 34–49
DOI: https://doi.org/10.4213/faa3442 (Mi faa3442) 		 
A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields

Anh Tuan Duong

Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam
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DOI: https://doi.org/10.4213/faa3442
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.
Keywords: Schrödinger operator, nonconstant magnetic field, qualitative properties, asymptotic expansion, spectral shift function.
Received: 02.03.2016
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 4, Pages 270–282
DOI: https://doi.org/10.1007/s10688-017-0193-0
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Anh Tuan Duong, “A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields”, Funktsional. Anal. i Prilozhen., 51:4 (2017), 34–49; Funct. Anal. Appl., 51:4 (2017), 270–282
Citation in format AMSBIB
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    		Ôóíêöèîíàëüíûé àíàëèç è åãî ïðèëîæåíèÿ Functional Analysis and Its Applications
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