Resolvent Estimates for the Magnetic Hamiltonian with Singular Vector Potentials and Applications
نویسندگان
چکیده
For the magnetic Hamiltonian with singular vector potentials, we analytically continue resolvent to a logarithmic neighborhood of positive real axis and prove estimates there. As applications, obtain asymptotic locations resonances local smoothing estimate for solutions corresponding Schr\"odinger equation.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04427-5