Nonlocal supersymmetric deformations of periodic potentials

Journal of Physics A: Mathematical and General

Volumn 35, Issue 19, 2002, Pages 4279-4291

  Fernández C, David J ^a   Mielnik, Bogdan ^a,b   Rosas Ortiz, Oscar ^a   Samsonov, Boris F ^c  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b UNIVERSITY OF WARSAW   (Poland)

^c TOMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037123919     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/19/309     Document Type: Article

References (41)

1. Pan S and Feng S 1991 Phys. Rev. B 44 5668
2. Monsivais G and Moshinsky M 1999 J. Phys. A: Math. Gen. 32 3637
3. Horne M Jex I and Zeilinger A 1999 Phys. Rev. A 59 2190
4. M Kronig L R and Penney W G 1931 Proc. R. Soc. A 130 499
5. Bateman G and Erdelyi A 1955 Higher Transcendental Functions vol 3 (New York: McGraw-Hill)
6. Levitan BM 1984 Inverse Sturm-Liouville Problems (Moscow: Nauka)
7. Dunne G and Feinberg J 1998 Phys. Rev. D 57 1271
8. Khare A and Sukhatme U 1999 J. Math. Phys. 40 5473
9. Crum M M 1955 Q. J. Math. 6 121
10. Sukumar C V 1986 J. Phys. A: Math. Gen. 19 2297
11. Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683
12. Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer)
13. Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (New York: Chapman and Hall)
14. Cooper F, Khare A and Sukhatme U 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific)
15. Samsonov B F 1996 Mod. Phys. Lett. A 11 1563
16. Krein M G 1957 Dokl. Akad. Nauk SSSR 113 970
17. Fernández D J, Negro J and Nieto L M 2000 Phys. Lett. A 275 338
18. Aoyama H, Sato M, Tanaka T and Yamamoto M 2001 Phys. Lett. B 498 117
19. Trlifaj L 1989 Inverse Problems 5 1145
20. Blinowski J 2001 private discussion See also: Bassani F 1971 Theory of impurity states Theory of Imperfect Crystalline Solids: Trieste Lectures 1970 (Vienna)
21. Blinowski J 2001 private discussion See also: Bassani F 1971 Theory of impurity states Theory of Imperfect Crystalline Solids: Trieste Lectures 1970 (Vienna)
22. Fernández D J, Mielnik B, Rosas-Ortiz O and Samsonov B F 2002 Phys. Lett. A 294 168
23. Reed M and Simon B 1978 Methods of Modern Mathematical Physics vol 4 (New York: Academic)
24. Mielnik B and Reyes M A 1996 J. Phys. A: Math. Gen. 29 6009
25. Delgado F, Mielnik B and Reyes M A 1998 Phys. Lett. A 237 359
26. Magnus W and Winkler S 1966 Hill's Equation (New York: Wiley)
27. Whittaker E T and Watson G N 1927 A Course of Modern Analysis (Cambridge: Cambridge University Press)
28. Berezin F A and Shubin M A 1991 The Schrödinger Equation (Dordrecht: Kluwer)
29. Bagrov V G and Samsonov B F 1997 Phys. Part. Nucl. 28 374
30. Samsonov B F 1999 Phys. Lett. A 263 274
31. Matveev V B and Salle M A 1991 Darboux Transformations and Solitons (Berlin: Springer)
32. Samsonov B F 2001 Eur. J. Phys. 22 305
33. Hochstadt H 1965 Arch. Ration Mech. Anal. 19 353
34. Dubrovin B A, Matveev V B and Novikov S P 1976 Russ. Math. Surv. 31 59
35. Belokolos E D, Bobenko A I, Enol'skii V Z and Its A R 1994 Algebro-Geometric Approach to Nonlinear Integrable Equations (Berlin: Springer)
36. Stahlhofen A 1995 Phys. Rev. A 51 934
37. Fernández D J 1997 Int. J. Mod. Phys. A 12 171
38. Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 10 163 Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 L507
39. Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 10 163 Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 L507
40. Bagchi B, Ganguly A, Bhaumik D and Mitra A 1999 Mod. Phys. Lett. A 14 27
41. Díaz-Arencibia P, Hernández-Calderón I, Hernández-Ramírez L M and Tamargo M C 2000 J. Vac. Sci. Technol. B 18 1526