Example of two different potentials which have practically the same fixed-energy phase shifts

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 254, Issue 3-4, 1999, Pages 141-148

  Airapetyan, Ruben G ^a   Ramm, Alexander G ^a   Smirnova, Alexandra B ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Fixed energy phase shifts; Ill posed problems; Inverse scattering; Schr dinger's equation

Indexed keywords

COMPACTLY SUPPORTED; FIXED ENERGY; ILL POSED PROBLEM; INVERSE SCATTERING; PIECE-WISE CONSTANTS;

INVERSE PROBLEMS;

EID: 0009176331     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(99)00134-6     Document Type: Article

References (12)

1. B. Apagyi, G. Endredi, P. Lévay, eds., Inverse and Algebraic Quantum Scattering theory, Proceedings, Lake Balaton, Hungary 1966, Lect. Notes in Phys. Vol. 488 (Springer, Berlin, 1997).
2. K. Chadan, P. Sabatier, Inverse Problems in Quantum Scattering Theory (Springer, Berlin, 1989).
3. B.M. Levitan, Inverse Sturm-Liouville Problems (VNU, Utrecht, 1987).
4. L. Landau, E. Lifshitz, Quantum Mechanics, Nonrelativistic Theory (Pergamon, Oxford, 1958).
5. R. Newton, Scattering Theory of Waves and Particles (Springer, Berlin, 1966).
6. A.G. Ramm, Multidimensional Inverse Scattering Problems (Longman/Wiley, New York, 1992), Russian translation of the expanded monograph (Mir, Moscow, 1994).
7. A.G. Ramm, Inverse Problems 4 (1988) 877; 5 (1989) 255.
8. A.G. Ramm, Inverse Problems 4 (1988) 877; 5 (1989) 255.
9. A.G. Ramm, Acta Appl. Math. 28 (1992) 1.
10. A.G. Ramm, J.H. Arredondo, B.G. Izquierdo, J. Phys. A 31 (1998) L39.
11. A.G. Ramm, Doklady Azerb. Acad. Sci. 22 (1966) 3.
12. A.G. Ramm, Inverse scattering with part of the fixed-energy phase shifts, submitted (1998).