Feshbach projection-operator formalism applied to resonance scattering on Bargmann-type potentials

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 6, 2008, Pages

  Shamshutdinova, Varvara V ^a,b   Pichugin, Konstantin N ^b,c   Rotter, Ingrid ^b   Samsonov, Boris F ^a  

^a TOMSK STATE UNIVERSITY   (Russian Federation)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c KIRENSKY INSTITUTE OF PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; POLES;

COMPLEX ENERGIES; EXTERNAL-; FESHBACH; FESHBACH FORMALISMS; FINITE NUMBERS; FUNCTION SPACES; HAMILTON; HERMITIAN; RESONANCE SCATTERINGS; RESONANCE STATES; S MATRIXES; SPECTROSCOPIC INFORMATIONS; TWO SEGMENTS;

RESONANCE;

EID: 57849085255     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.062712     Document Type: Article

References (52)

1. H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958). 10.1016/0003-4916(58)90007- 1
2. H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962). 10.1016/0003-4916(62) 90221-X
3. H. W. Barz, I. Rotter, and J. Höhn, Nucl. Phys. A 275, 111 (1977). 10.1016/0375-9474(77)90279-2
4. I. Rotter, Ann. Phys. (Leipzig) 493, 221 (1981). 10.1002/andp.19814930307
5. A. F. Sadreev and I. Rotter, J. Phys. A 36, 11413 (2003). 10.1088/0305-4470/36/45/005
6. I. Rotter and A. F. Sadreev, Phys. Rev. E 69, 066201 (2004). 10.1103/PhysRevE.69.066201
7. I. Rotter and A. F. Sadreev, Phys. Rev. E 71, 036227 (2005). 10.1103/PhysRevE.71.036227
8. I. Rotter and A. F. Sadreev, Phys. Rev. E 71, 046204 (2005). 10.1103/PhysRevE.71.046204
9. A. F. Sadreev, E. N. Bulgakov, and I. Rotter, Phys. Rev. B 73, 235342 (2006). 10.1103/PhysRevB.73.235342
10. E. N. Bulgakov, I. Rotter, and A. F. Sadreev, Phys. Rev. E 74, 056204 (2006). 10.1103/PhysRevE.74.056204
11. E. N. Bulgakov, I. Rotter, and A. F. Sadreev, Phys. Rev. B 76, 214302 (2007). 10.1103/PhysRevB.76.214302
12. A. I. Magunov, I. Rotter, and S. I. Strakhova, J. Phys. B 32, 1489 (1999). 10.1088/0953-4075/32/6/012
13. A. I. Magunov, I. Rotter, and S. I. Strakhova, J. Phys. B 32, 1669 (1999). 10.1088/0953-4075/32/7/010
14. A. I. Magunov, I. Rotter, and S. I. Strakhova, J. Phys. B 34, 29 (2001). 10.1088/0953-4075/34/1/303
15. Y. V. Fyodorov and H.-J. Sommers, J. Math. Phys. 38, 1918 (1997). 10.1063/1.531919
16. I. Rotter, Rep. Prog. Phys. 54, 635 (1991). 10.1088/0034-4885/54/4/003
17. J. Okołowicz, M. Płoszajczak, and I. Rotter, Phys. Rep. 374, 271 (2003). 10.1016/S0370-1573(02)00366-6
18. J. Humblet, Mem. Soc. R. Sci. Liege Collect. in-8 12, 4 (1952).
19. T. Regge, Nuovo Cimento 8, 671 (1958). 10.1007/BF02815247
20. R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982).
21. L. D. Faddeev, Usp. Mat. Nauk 14, 57 (1959);
22. L. D. Faddeev, J. Math. Phys. 4, 72 (1963). 10.1063/1.1703891
23. H.-D. Meyer and O. Walter, J. Phys. B 15, 3647 (1982). 10.1088/0022-3700/15/20/013
24. W. Domcke, Phys. Rev. A 28, 2777 (1983). 10.1103/PhysRevA.28.2777
25. W. Domcke, M. Berman, C. Mundel, and H.-D. Meyer, Phys. Rev. A 33, 222 (1986). 10.1103/PhysRevA.33.222
26. D. V. Savin, V. V. Sokolov, and H.-J. Sommers, Phys. Rev. E 67, 026215 (2003). 10.1103/PhysRevE.67.026215
27. V. I. Kukulin, V. M. Krasnopolsky, and J. Horáček, Theory of Resonances. Principles and Applications (Kluwer, Dordrecht, 1989).
28. E. Witten, Nucl. Phys. B 188, 513 (1981). 10.1016/0550-3213(81)90006-7
29. K. Chadan and P. C. Sabatier, Inverse Problems in Quantum Scattering Theory (Springer, Berlin, 1977).
30. V. G. Bagrov and B. F. Samsonov, Theor. Math. Phys. 104, 356 (1995).
31. V. Bargmann, Rev. Mod. Phys. 21, 488 (1949). 10.1103/RevModPhys.21.488
32. B. F. Samsonov, J. Phys. A 28, 6989 (1995). 10.1088/0305-4470/28/23/036
33. A. A. Andrianov and A. V. Sokolov, J. Math. Sci. (N.Y.) 143, 2707 (2007) 10.1007/s10958-007-0158-6
34. A. A. Andrianov and A. V. Sokolov, [Zap. Nauchn. Semin. POMI 335, 22 (2006)].
35. A. V. Sokolov, Zap. Nauchn. Semin. POMI 347, 214 (2007).
36. A. A. Andrianov, M. V. Ioffe, and D. N. Nishnianidze, Phys. Lett. A 201, 103 (1995). 10.1016/0375-9601(95)00248-2
37. A. A. Andrianov, M. V. Ioffe, and V. Spiridonov, Phys. Lett. A 174, 273 (1993). 10.1016/0375-9601(93)90137-O
38. V. G. Bagrov and B. F. Samsonov, Phys. Part. Nucl. 28, 374 (1997). 10.1134/1.953045
39. G. Junker, Supersymmetric Methods in Quantum and Statistical Physics (Springer, Berlin, 1996).
40. F. Cooper, A. Khare, and U. Sukhatme, Supersymmetry in Quantum Mechanics (World Scientific, Singapore, 2001).
41. B. K. Bagchi, Supersymmetry in Quantum and Classical Mechanics (Chapman and Hall, New York, 2001).
42. B. Mielnik and O. Rosas-Ortiz, J. Phys. A 37, 10007 (2004). 10.1088/0305-4470/37/43/001
43. B. F. Samsonov and F. Stancu, Phys. Rev. C 66, 034001 (2002). 10.1103/PhysRevC.66.034001
44. M. N. Crum, Q. J. Math. 6, 121 (1955). 10.1093/qmath/6.1.121
45. P. Roman, Advanced Quantum Theory (Addison-Wesley, Reading, MA, 1965).
46. L. E. Ballentine, Quantum Mechanics: A Modern Development (World Scientific Publishing Company, Singapore, 1998).
47. I. Rotter, Acta Phys. Pol. B 35, 1269 (2004).
48. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, England, 1995).
49. T. Ando, Phys. Rev. B 44, 8017 (1991). 10.1103/PhysRevB.44.8017
50. V. B. Matveev and M. A. Salle, Darboux Transformations and Solitons (Springer, Berlin, 1991).
51. H. M. Nussenzweig, Nucl. Phys. 11, 499 (1959); 10.1016/0029-5582(59) 90293-7
52. H. M. Nussenzweig, Causality and Dispersion Relations (Academic, New York, 1972).