A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields
https://doi.org/10.4213/faa3442Publisher, magazine: ,
Publication year: 2017
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: Schrödinger operator, nonconstant magnetic field, qualitative properties, asymptotic expansion, spectral shift function.
Các bài viết liên quan đến tác giả Dương Anh Tuấn
Optimal Liouville-type theorems for a system of parabolic inequalities
A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields
Liouville type theorem for nonlinear elliptic system involving Grushin operator
Liouville-type theorems for a quasilinear elliptic equation of the Henon-type
On the nonexistence of stable solutions of sub-elliptic systems with negative exponents
On the classification of positive supersolutions of elliptic systems involving the advection terms
Liouville type theorems for two elliptic equations with advections
A Liouville type theorem for non-linear elliptic systems involving advection terms