Polynomial Heisenberg algebras

Journal of Physics A: Mathematical and General

Volumn 37, Issue 43, 2004, Pages 10349-10362

  Carballo, Juan M ^a   Fernândez C, David J ^b   Negro, Javier ^c   Nieto, Luis M ^c  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

^c UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744224281     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/43/022     Document Type: Conference Paper

References (43)

1. Higgs P W 1979 J. Phys. A: Math. Gen. 12 309
2. Bonatsos D, Daskaloyannis C and Kokkotas K 1994 Phys. Rev. A 50 3700
3. Roček M 1991 Phys. Lett. B 255 554 Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Beckers J, Brihaye Y and Debergh N 1999 J. Phys. A: Math. Gen. 32 2791 Sunilkumar V, Bambah B A, Jagannathan R, Panigrahi P K and Srinivasan V 2000 J. Opt. B 2 126
4. Roček M 1991 Phys. Lett. B 255 554 Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Beckers J, Brihaye Y and Debergh N 1999 J. Phys. A: Math. Gen. 32 2791 Sunilkumar V, Bambah B A, Jagannathan R, Panigrahi P K and Srinivasan V 2000 J. Opt. B 2 126
5. Roček M 1991 Phys. Lett. B 255 554 Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Beckers J, Brihaye Y and Debergh N 1999 J. Phys. A: Math. Gen. 32 2791 Sunilkumar V, Bambah B A, Jagannathan R, Panigrahi P K and Srinivasan V 2000 J. Opt. B 2 126
6. Roček M 1991 Phys. Lett. B 255 554 Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Beckers J, Brihaye Y and Debergh N 1999 J. Phys. A: Math. Gen. 32 2791 Sunilkumar V, Bambah B A, Jagannathan R, Panigrahi P K and Srinivasan V 2000 J. Opt. B 2 126
7. Dutt R, Gangopadhyaya A, Rasinariu C and Sukhatme U P 1999 Phys. Rev. A 60 3482
8. Fernández D J 1984 MSc Thesis México DF, Cinvestav
9. Dubov S Y, Eleonsky V M and Kulagin N E 1992 Sov. Phys.-JETP 75 446
10. Veselov A P and Shabat A B 1993 Funct. Anal. Appl. 27 81
11. Adler V E 1994 Physica D 73 335
12. Sukhatme U P, Rasinariu C and Khare A 1997 Phys. Lett. A 234 401
13. Aizawa N and Sato H T 1997 Prog. Theor. Phys. 98 707 Cannata F, Junker G and Trost J 1998 Particles, Fields and Gravitation (AIP Conf. Proc. vol 453) ed J Rembielinski (New York: ADP) p 209 Arik M, Atakishiyev N M and Wolf K B 1999 J. Phys. A: Math. Gen. 32 L371
14. Aizawa N and Sato H T 1997 Prog. Theor. Phys. 98 707 Cannata F, Junker G and Trost J 1998 Particles, Fields and Gravitation (AIP Conf. Proc. vol 453) ed J Rembielinski (New York: ADP) p 209 Arik M, Atakishiyev N M and Wolf K B 1999 J. Phys. A: Math. Gen. 32 L371
15. Aizawa N and Sato H T 1997 Prog. Theor. Phys. 98 707 Cannata F, Junker G and Trost J 1998 Particles, Fields and Gravitation (AIP Conf. Proc. vol 453) ed J Rembielinski (New York: ADP) p 209 Arik M, Atakishiyev N M and Wolf K B 1999 J. Phys. A: Math. Gen. 32 L371
16. Fernändez D J and Russin V 1999 J. Phys. A: Math. Gen. 32 3603
17. Andrianov A A, Cannata F, Ioffe M and Nishnianidze D 2000 Phys. Lett. A 266 341
18. Willox R and Hietarinta J 2003 J. Phys. A: Math. Gen. 36 10615
19. Quesne C and Vansteenkiste N 1999 Helv. Phys. Acta 72 71
20. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
21. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
22. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
23. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
24. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
25. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
26. Andrianov A A, Ioffe M V and Spiridonov V 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Fernández D J 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15 Aoyama H, Nakayama N, Sato M and Tanaka T 2001 Phys. Lett. B 521 400 Andrianov A A and Sokolov A V 2003 Nucl. Phys. B 660 25 Cannata F, Ioffe M and Nishnianidze D 2003 Phys. Lett. A 310 344
27. Bagrov V G and Samsonov B F 1997 Phys. Part. Nucl. 28 374
28. Fernández D J, Russin V and Mielnik B 1998 Phys. Lett. A 244 309 Mielnik B, Nieto L M and Rosas-Ortiz O 2000 Phys. Lett. A 269 70
29. Fernández D J, Russin V and Mielnik B 1998 Phys. Lett. A 244 309 Mielnik B, Nieto L M and Rosas-Ortiz O 2000 Phys. Lett. A 269 70
30. Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 L507 Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 10163 Cariñena J F, Ramos A and Fernández D J 2001 Ann. Phys., NY 292 42
31. Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 L507 Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 10163 Cariñena J F, Ramos A and Fernández D J 2001 Ann. Phys., NY 292 42
32. Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 L507 Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 10163 Cariñena J F, Ramos A and Fernández D J 2001 Ann. Phys., NY 292 42
33. Carballo J M 2001 MSc Thesis México DF, ESFM-IPN
34. Mielnik B 1984 J. Math. Phys. 25 3387 Fernández D J, Russin V and Nieto L M 1994 J. Phys. A: Math. Gen. 27 3547 Fernández D J, Nieto L M and Rosas-Ortiz O 1995 J. Phys. A: Math. Gen. 28 2693
35. Mielnik B 1984 J. Math. Phys. 25 3387 Fernández D J, Russin V and Nieto L M 1994 J. Phys. A: Math. Gen. 27 3547 Fernández D J, Nieto L M and Rosas-Ortiz O 1995 J. Phys. A: Math. Gen. 28 2693
36. Mielnik B 1984 J. Math. Phys. 25 3387 Fernández D J, Russin V and Nieto L M 1994 J. Phys. A: Math. Gen. 27 3547 Fernández D J, Nieto L M and Rosas-Ortiz O 1995 J. Phys. A: Math. Gen. 28 2693
37. Fernández D J, Negro J and del Olmo M A 1996 Ann. Phys., NY 252 386 Mota R D, Granados V D, Queijeiro A, García J and Guzmán L 2003 J. Phys. A: Math. Gen. 36 4849
38. Fernández D J, Negro J and del Olmo M A 1996 Ann. Phys., NY 252 386 Mota R D, Granados V D, Queijeiro A, García J and Guzmán L 2003 J. Phys. A: Math. Gen. 36 4849
39. Iwasaki K, Kimura H, Shimomura S and Yoshida M 1991 From Gauss to Painlevé (Braunschweig: Friedrich Vieweg & Sohn)
40. Bassom A P, Clarkson P A and Hicks A C 1995 Stud. Appl. Math. 95 1
41. Fernández D J, Negro J and Nieto L M 2004 Phys. Lett. A (at press)
42. Winternitz P and Levi D (ed) 1992 Painlevé Transcendents, Their Asymptotics and Physical Applications, (NATO ASI Series B) (New York: Plenum) Kapaev A A 1998 Preprint solv-int/9805011
43. Winternitz P and Levi D (ed) 1992 Painlevé Transcendents, Their Asymptotics and Physical Applications, (NATO ASI Series B) (New York: Plenum) Kapaev A A 1998 Preprint solv-int/9805011