Geodesic
A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 4, pp. 34-49

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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. 
@article{FAA_2017_51_4_a3,
     author = {Anh Tuan Duong},
     title = {A trace formula and application to {Stark} {Hamiltonians} with nonconstant magnetic fields},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {34--49},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2017_51_4_a3/}
}
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Anh Tuan Duong. A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 4, pp. 34-49. http://geodesic.mathdoc.fr/item/FAA_2017_51_4_a3/