An Inverse Problem Associated with the Discrete Schroedinger Equation

作者: Charles B. Sharpe

DOI: 10.1137/0132033

关键词:

摘要: A discrete approximation to the one-dimensional Schroedinger equation is presented in form of a second-order difference equation. An inverse problem based on this so-called solved wherein solution latter determined from given spectral data. The concept realizability discussed and theorem giving necessary sufficient conditions for polynomial function be derived.

参考文章(4)
D. Heim, C. Sharpe, The Synthesis of Nonuniform Lines of Finite Length-Part I IEEE Transactions on Circuit Theory. ,vol. 14, pp. 394- 403 ,(1967) , 10.1109/TCT.1967.1082743
L.B. Jenkins, A useful recursive form for obtaining inverse z-transforms Proceedings of the IEEE. ,vol. 55, pp. 574- 575 ,(1967) , 10.1109/PROC.1967.5599
I. M. Gel'fand, B. M. Levitan, On the determination of a differential equation from its spectral function Amer. Math. Soc. Transl. (2). ,vol. 1, ,(1955)