Communications in Mathematical Physics

, Volume 207, Issue 1, pp 231–247

An Inverse Scattering Problem with Part of the Fixed-Energy Phase Shifts


  • A. G. Ramm
    • Mathematics Department, Kansas State University, Manhattan, KS 66506, USA. E-mail:

DOI: 10.1007/s002200050725

Cite this article as:
Ramm, A. Comm Math Phys (1999) 207: 231. doi:10.1007/s002200050725


Assume that q(r) is a real-valued, compactly supported potential, q(r)=0 for \(\), \(\). Let \(\) be an arbitrary fixed subset of non-negative integers such that \(\), and \(\) be fixed-energy phase shifts corresponding to q(r). The main result is:

Theorem.The data determine q(r) uniquely.

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© Springer-Verlag Berlin Heidelberg 1999