Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials

• Published in: Letters in Mathematical Physics
• Main Authors: Frank, Rupert L., Laptev, Ari, Lieb, Elliott H., Seiringer, Robert
• Format: Article in Journal/Newspaper
• Language: unknown
• Published: Springer 2006
• Subjects: Schrödinger operator; Lieb–Thirring inequalities; complex potential; Ari; Elliott; Rupert; laptev
• Online Access: https://doi.org/10.1007/s11005-006-0095-1

Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential. © By the Authors 2006. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 5 May 2006. Published online: 29 July 2006. The work of Rupert L. Frank and Ari Laptev was supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). The work of Elliott H. Lieb was supported by U.S. National Science Foundation grant PHY 01 39984. The work of Robert Seiringer was supported by U.S. National Science Foundation grant PHY 03 53181, and by an A.P. Sloan Fellowship. Published - FrankRupert309-.pdf Submitted - 0605017.pdf