TY - JOUR

T1 - Trace Formulas for Schrödinger Operators with Complex Potentials

AU - Korotyaev, E.

N1 - Korotyaev, E. Trace Formulas for Schrödinger Operators with Complex Potentials. Russ. J. Math. Phys. 27, 82–98 (2020). https://doi.org/10.1134/S1061920820010082

PY - 2020/1

Y1 - 2020/1

N2 - We consider 3-dimensonal Schrödinger operators with complex potential. We obtain new trace formulas with new terms, associated with singular measure. In order to prove these results, we study analytic properties of a modified Fredholm determinant as a function from Hardy spaces in the upper half-plane. In fact, we reformulate spectral theory problems as problems of analytic functions from Hardy spaces.

AB - We consider 3-dimensonal Schrödinger operators with complex potential. We obtain new trace formulas with new terms, associated with singular measure. In order to prove these results, we study analytic properties of a modified Fredholm determinant as a function from Hardy spaces in the upper half-plane. In fact, we reformulate spectral theory problems as problems of analytic functions from Hardy spaces.

KW - INEQUALITIES

KW - ASYMPTOTICS

KW - EIGENVALUES

KW - BOUNDS

UR - http://www.scopus.com/inward/record.url?scp=85082430588&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/40b9212d-444d-3763-89bd-d05eb6db2e4a/

U2 - 10.1134/S1061920820010082

DO - 10.1134/S1061920820010082

M3 - Article

AN - SCOPUS:85082430588

VL - 27

SP - 82

EP - 98

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 1

ER -