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Z. Naturforsch. 66a, 699 – 704
(2011)
doi:10.5560/ZNA.2011-0023
Identities for Eigenvalues of the Schrödinger Equation with Energy-Dependent Potential
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China
Received March 31, 2011 / revised June 4, 2011
Reprint requests to: C. F. Y.; E-mail:
chuanfuyang@tom.com
The present paper deals with eigenvalue problems for the Schrödinger equation with energy-dependent potential and some separated boundary conditions. Using the method of contour integration, we obtain some new regularized traces for this class of Schrödinger operators.
Key words: Schrödinger Equation; Regularized Trace Formula.
Mathematics Subject Classification 2000: 34B24; 34L20; 35K57; 45C05