On some one-parameter families of three-body problems in one dimension: Exchange operator formalism in polar coordinates and scattering properties

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

Volumn 250, Issue 1-3, 1998, Pages 33-38

  Khare, Avinash ^a   Quesne, C ^b  

^a INSTITUTE OF PHYSICS   (India)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Exchange operators; Scattering; Three body problems

Indexed keywords

EXCHANGE OPERATORS; INTEGRABILITY; ONE DIMENSION; ONE PARAMETER FAMILY; OSCILLATOR POTENTIAL; POLAR COORDINATE; SCATTERING PROPERTY; THREE-BODY PROBLEM;

SCATTERING;

EID: 0347029868     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00752-X     Document Type: Article

References (16)

1. F. Calogero, J. Math. Phys. 10 (1969) 2191, 2197; 12 (1971) 419.
2. F. Calogero, J. Math. Phys. 10 (1969) 2191, 2197; 12 (1971) 419.
3. B. Sutherland, J. Math. Phys. 12 (1971) 246, 251.
4. M.A. Olshanetsky, A.M. Perelomov, Phys. Rep. 71 (1981) 313; 94 (1983) 313.
5. M.A. Olshanetsky, A.M. Perelomov, Phys. Rep. 71 (1981) 313; 94 (1983) 313.
6. L. Brink, T.H. Hansson, M.A. Vasiliev, Phys. Lett. B 286 (1992) 109.
7. A.P. Polychronakos, Phys. Rev. Lett. 69 (1992) 703.
8. C.F. Dunkl, Trans. Am. Math. Soc. 311 (1989) 167.
9. L. Brink, M.A. Vasiliev, Mod. Phys. Lett. A 8 (1993) 3585.
10. T. Brzeziński, I.L. Egusquiza, A.J. Macfarlane, Phys. Lett. B 311 (1993) 202.
11. J. Wolfes, J. Math. Phys. 15 (1974) 1420.
12. F. Calogero, C. Marchioro, J. Math. Phys. 15 (1974) 1425.
13. A. Khare, R.K. Bhaduri, J. Phys. A 27 (1994) 2213.
14. N. Gurappa, A. Khare, P.K. Panigrahi, Phys. Lett. A 244 (1998) 467.
15. C. Quesne, Mod. Phys. Lett. A 10 (1995) 1323.
16. A. Khare, U.P. Sukhatme, Phys. Lett. A 241 (1998) 14.