메뉴 건너뛰기




Volumn 36, Issue 44, 2003, Pages 11299-11319

Dolan-Grady relations and noncommutative quasi-exactly solvable systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242678614     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/44/009     Document Type: Article
Times cited : (15)

References (48)
  • 2
    • 0011494817 scopus 로고
    • Star-triangle equations, quantum Lax pairs, and higher genus curves
    • Providence, RI: American Mathematical Society
    • Perk J H H 1989 Star-triangle equations, quantum Lax pairs, and higher genus curves Proc. 1987 Summer Research Institute on Theta Functions, Proc. Symp. Pure Math. vol 49, part 1 (Providence, RI: American Mathematical Society) pp 341-54
    • (1989) Proc. 1987 Summer Research Institute on Theta Functions, Proc. Symp. Pure Math. , vol.49 , Issue.PART 1 , pp. 341-354
    • Perk, J.H.H.1
  • 4
    • 0000152761 scopus 로고
    • Davies B 1990 J. Phys. A: Math. Gen. 23 2245 Davies B 1991 J. Math. Phys. 32 2945
    • (1991) J. Math. Phys. , vol.32 , pp. 2945
    • Davies, B.1
  • 6
    • 0002152395 scopus 로고
    • Baxter R J 1973 Ann. Phys., NY 76 1 Baxter R J 1973 Ann. Phys., NY 76 25 Baxter R J 1973 Ann. Phys., NY 76 48
    • (1973) Ann. Phys., NY , vol.76 , pp. 1
    • Baxter, R.J.1
  • 7
    • 49549172862 scopus 로고
    • Baxter R J 1973 Ann. Phys., NY 76 1 Baxter R J 1973 Ann. Phys., NY 76 25 Baxter R J 1973 Ann. Phys., NY 76 48
    • (1973) Ann. Phys., NY , vol.76 , pp. 25
    • Baxter, R.J.1
  • 8
    • 49549168660 scopus 로고
    • Baxter R J 1973 Ann. Phys., NY 76 1 Baxter R J 1973 Ann. Phys., NY 76 25 Baxter R J 1973 Ann. Phys., NY 76 48
    • (1973) Ann. Phys., NY , vol.76 , pp. 48
    • Baxter, R.J.1
  • 15
    • 0009491906 scopus 로고
    • Turbiner A 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Ushveridze A 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics Publishing) Turbiner A 1994 Quasiexactly solvable differential equations Preprint hep-th/9409068 Finkel F, Gonzalez-Lopez A, Kamran N, Olver P J and Rodriguez M A 1996 Lie algebras of differential operators and partial integrability Preprint hep-th/9603139
    • (1988) Commun. Math. Phys. , vol.118 , pp. 467
    • Turbiner, A.1
  • 16
    • 0000999213 scopus 로고
    • Turbiner A 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Ushveridze A 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics Publishing) Turbiner A 1994 Quasiexactly solvable differential equations Preprint hep-th/9409068 Finkel F, Gonzalez-Lopez A, Kamran N, Olver P J and Rodriguez M A 1996 Lie algebras of differential operators and partial integrability Preprint hep-th/9603139
    • (1989) Int. J. Mod. Phys. A , vol.4 , pp. 2897
    • Shifman, M.A.1
  • 17
    • 0004104648 scopus 로고
    • Bristol: Institute of Physics Publishing
    • Turbiner A 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Ushveridze A 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics Publishing) Turbiner A 1994 Quasiexactly solvable differential equations Preprint hep-th/9409068 Finkel F, Gonzalez-Lopez A, Kamran N, Olver P J and Rodriguez M A 1996 Lie algebras of differential operators and partial integrability Preprint hep-th/9603139
    • (1994) Quasi-Exactly Solvable Models in Quantum Mechanics
    • Ushveridze, A.1
  • 18
    • 0041580032 scopus 로고
    • Preprint hep-th/9409068
    • Turbiner A 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Ushveridze A 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics Publishing) Turbiner A 1994 Quasiexactly solvable differential equations Preprint hep-th/9409068 Finkel F, Gonzalez-Lopez A, Kamran N, Olver P J and Rodriguez M A 1996 Lie algebras of differential operators and partial integrability Preprint hep-th/9603139
    • (1994) Quasiexactly Solvable Differential Equations
    • Turbiner, A.1
  • 22
    • 0035539552 scopus 로고    scopus 로고
    • Preprint hep-th/0103192
    • Kimura Y 2001 Prog. Theor. Phys. 106 445 (Preprint hep-th/0103192) Valtancoli P 2003 Int. J. Mod. Phys. A 18 967 (Preprint hep-th/0206075) Azuma T and Bagnoud M 2003 Nucl. Phys. B 651 71 (Preprint hep-th/0209057)
    • (2001) Prog. Theor. Phys. , vol.106 , pp. 445
    • Kimura, Y.1
  • 23
    • 0037429773 scopus 로고    scopus 로고
    • Preprint hep-th/0206075
    • Kimura Y 2001 Prog. Theor. Phys. 106 445 (Preprint hep-th/0103192) Valtancoli P 2003 Int. J. Mod. Phys. A 18 967 (Preprint hep-th/0206075) Azuma T and Bagnoud M 2003 Nucl. Phys. B 651 71 (Preprint hep-th/0209057)
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 967
    • Valtancoli, P.1
  • 24
    • 0037463387 scopus 로고    scopus 로고
    • Preprint hep-th/0209057
    • Kimura Y 2001 Prog. Theor. Phys. 106 445 (Preprint hep-th/0103192) Valtancoli P 2003 Int. J. Mod. Phys. A 18 967 (Preprint hep-th/0206075) Azuma T and Bagnoud M 2003 Nucl. Phys. B 651 71 (Preprint hep-th/0209057)
    • (2003) Nucl. Phys. B , vol.651 , pp. 71
    • Azuma, T.1    Bagnoud, M.2
  • 26
    • 0000718004 scopus 로고    scopus 로고
    • Preprint hep-th/0101102
    • Iso S, Kimura Y, Tanaka K and Wakatsuki K 2001 Nucl. Phys. B 604 121 (Preprint hep-th/0101102) Jatkar D P, Mandal G, Wadia S R and Yogendran K P 2002 J. High Energy Phys. JHEP01(2002)039 (Preprint hep-th/0110172) Alekseev A Yu, Recknagel A and Schomerus V 2000 J. High Energy Phys. JHEP05(2000)010 (Preprint hep-th/0003187) Myers R C 1999 J. High Energy Phys. JHEP12(1999)022 (Preprint hep-th/9910053) Kitazawa Y 2002 Nucl. Phys. B 642 210 (Preprint hep-th/0207115)
    • (2001) Nucl. Phys. B , vol.604 , pp. 121
    • Iso, S.1    Kimura, Y.2    Tanaka, K.3    Wakatsuki, K.4
  • 27
    • 0000718004 scopus 로고    scopus 로고
    • JHEP01(2002)039 (Preprint hep-th/0110172)
    • Iso S, Kimura Y, Tanaka K and Wakatsuki K 2001 Nucl. Phys. B 604 121 (Preprint hep-th/0101102) Jatkar D P, Mandal G, Wadia S R and Yogendran K P 2002 J. High Energy Phys. JHEP01(2002)039 (Preprint hep-th/0110172) Alekseev A Yu, Recknagel A and Schomerus V 2000 J. High Energy Phys. JHEP05(2000)010 (Preprint hep-th/0003187) Myers R C 1999 J. High Energy Phys. JHEP12(1999)022 (Preprint hep-th/9910053) Kitazawa Y 2002 Nucl. Phys. B 642 210 (Preprint hep-th/0207115)
    • (2002) J. High Energy Phys.
    • Jatkar, D.P.1    Mandal, G.2    Wadia, S.R.3    Yogendran, K.P.4
  • 28
    • 0000718004 scopus 로고    scopus 로고
    • JHEP05(2000)010 (Preprint hep-th/0003187)
    • Iso S, Kimura Y, Tanaka K and Wakatsuki K 2001 Nucl. Phys. B 604 121 (Preprint hep-th/0101102) Jatkar D P, Mandal G, Wadia S R and Yogendran K P 2002 J. High Energy Phys. JHEP01(2002)039 (Preprint hep-th/0110172) Alekseev A Yu, Recknagel A and Schomerus V 2000 J. High Energy Phys. JHEP05(2000)010 (Preprint hep-th/0003187) Myers R C 1999 J. High Energy Phys. JHEP12(1999)022 (Preprint hep-th/9910053) Kitazawa Y 2002 Nucl. Phys. B 642 210 (Preprint hep-th/0207115)
    • (2000) J. High Energy Phys.
    • Alekseev, A.Yu.1    Recknagel, A.2    Schomerus, V.3
  • 29
    • 0000718004 scopus 로고    scopus 로고
    • JHEP12(1999)022 (Preprint hep-th/9910053)
    • Iso S, Kimura Y, Tanaka K and Wakatsuki K 2001 Nucl. Phys. B 604 121 (Preprint hep-th/0101102) Jatkar D P, Mandal G, Wadia S R and Yogendran K P 2002 J. High Energy Phys. JHEP01(2002)039 (Preprint hep-th/0110172) Alekseev A Yu, Recknagel A and Schomerus V 2000 J. High Energy Phys. JHEP05(2000)010 (Preprint hep-th/0003187) Myers R C 1999 J. High Energy Phys. JHEP12(1999)022 (Preprint hep-th/9910053) Kitazawa Y 2002 Nucl. Phys. B 642 210 (Preprint hep-th/0207115)
    • (1999) J. High Energy Phys.
    • Myers, R.C.1
  • 30
    • 0037152283 scopus 로고    scopus 로고
    • Preprint hep-th/0207115
    • Iso S, Kimura Y, Tanaka K and Wakatsuki K 2001 Nucl. Phys. B 604 121 (Preprint hep-th/0101102) Jatkar D P, Mandal G, Wadia S R and Yogendran K P 2002 J. High Energy Phys. JHEP01(2002)039 (Preprint hep-th/0110172) Alekseev A Yu, Recknagel A and Schomerus V 2000 J. High Energy Phys. JHEP05(2000)010 (Preprint hep-th/0003187) Myers R C 1999 J. High Energy Phys. JHEP12(1999)022 (Preprint hep-th/9910053) Kitazawa Y 2002 Nucl. Phys. B 642 210 (Preprint hep-th/0207115)
    • (2002) Nucl. Phys. B , vol.642 , pp. 210
    • Kitazawa, Y.1
  • 31
    • 22244466137 scopus 로고
    • Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Daskaloyannis C 1992 J. Phys. A: Math. Gen. 25 2261 Daskaloyannis C and Ypsilantis K 1992 J. Phys. A: Math. Gen. 25 4157-66 Bonatsos D and Daskaloyannis C 1993 Phys. Lett. B 307 100-5 Quesne C 1994 Phys. Lett. A 193 245
    • (1991) J. Phys. A: Math. Gen. , vol.24
    • Daskaloyannis, C.1
  • 32
    • 0002395696 scopus 로고
    • Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Daskaloyannis C 1992 J. Phys. A: Math. Gen. 25 2261 Daskaloyannis C and Ypsilantis K 1992 J. Phys. A: Math. Gen. 25 4157-66 Bonatsos D and Daskaloyannis C 1993 Phys. Lett. B 307 100-5 Quesne C 1994 Phys. Lett. A 193 245
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 2261
    • Daskaloyannis, C.1
  • 33
    • 0000549219 scopus 로고
    • Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Daskaloyannis C 1992 J. Phys. A: Math. Gen. 25 2261 Daskaloyannis C and Ypsilantis K 1992 J. Phys. A: Math. Gen. 25 4157-66 Bonatsos D and Daskaloyannis C 1993 Phys. Lett. B 307 100-5 Quesne C 1994 Phys. Lett. A 193 245
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 4157-4166
    • Daskaloyannis, C.1    Ypsilantis, K.2
  • 34
    • 0002491730 scopus 로고
    • Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Daskaloyannis C 1992 J. Phys. A: Math. Gen. 25 2261 Daskaloyannis C and Ypsilantis K 1992 J. Phys. A: Math. Gen. 25 4157-66 Bonatsos D and Daskaloyannis C 1993 Phys. Lett. B 307 100-5 Quesne C 1994 Phys. Lett. A 193 245
    • (1993) Phys. Lett. B , vol.307 , pp. 100-105
    • Bonatsos, D.1    Daskaloyannis, C.2
  • 35
    • 0041459118 scopus 로고
    • Daskaloyannis C 1991 J. Phys. A: Math. Gen. 24 L789 Daskaloyannis C 1992 J. Phys. A: Math. Gen. 25 2261 Daskaloyannis C and Ypsilantis K 1992 J. Phys. A: Math. Gen. 25 4157-66 Bonatsos D and Daskaloyannis C 1993 Phys. Lett. B 307 100-5 Quesne C 1994 Phys. Lett. A 193 245
    • (1994) Phys. Lett. A , vol.193 , pp. 245
    • Quesne, C.1
  • 39
    • 0035953626 scopus 로고    scopus 로고
    • Preprint hep-th/0008027
    • Nair V P 2001 Phys. Lett. B 505 249-54 (Preprint hep-th/0008027) Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267 (Preprint hep-th/0011172) Karabali D, Nair V P and Polychronakos A P 2002 Nucl. Phys. B 627 565 (Preprint hep-th/0111249) Iengo R and Ramachandran R 2002 J. High Energy Phys. JHEP02(2002)017 (Preprint hep-th/0111200) Bellucci S 2003 Phys. Rev. D 67 105014 (Preprint hep-th/0301227)
    • (2001) Phys. Lett. B , vol.505 , pp. 249-254
    • Nair, V.P.1
  • 40
    • 0035953730 scopus 로고    scopus 로고
    • Preprint hep-th/0011172
    • Nair V P 2001 Phys. Lett. B 505 249-54 (Preprint hep-th/0008027) Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267 (Preprint hep-th/0011172) Karabali D, Nair V P and Polychronakos A P 2002 Nucl. Phys. B 627 565 (Preprint hep-th/0111249) Iengo R and Ramachandran R 2002 J. High Energy Phys. JHEP02(2002)017 (Preprint hep-th/0111200) Bellucci S 2003 Phys. Rev. D 67 105014 (Preprint hep-th/0301227)
    • (2001) Phys. Lett. B , vol.505 , pp. 267
    • Nair, V.P.1    Polychronakos, A.P.2
  • 41
    • 0037089887 scopus 로고    scopus 로고
    • Preprint hep-th/0111249
    • Nair V P 2001 Phys. Lett. B 505 249-54 (Preprint hep-th/0008027) Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267 (Preprint hep-th/0011172) Karabali D, Nair V P and Polychronakos A P 2002 Nucl. Phys. B 627 565 (Preprint hep-th/0111249) Iengo R and Ramachandran R 2002 J. High Energy Phys. JHEP02(2002)017 (Preprint hep-th/0111200) Bellucci S 2003 Phys. Rev. D 67 105014 (Preprint hep-th/0301227)
    • (2002) Nucl. Phys. B , vol.627 , pp. 565
    • Karabali, D.1    Nair, V.P.2    Polychronakos, A.P.3
  • 42
    • 0035953626 scopus 로고    scopus 로고
    • JHEP02(2002)017 (Preprint hep-th/0111200)
    • Nair V P 2001 Phys. Lett. B 505 249-54 (Preprint hep-th/0008027) Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267 (Preprint hep-th/0011172) Karabali D, Nair V P and Polychronakos A P 2002 Nucl. Phys. B 627 565 (Preprint hep-th/0111249) Iengo R and Ramachandran R 2002 J. High Energy Phys. JHEP02(2002)017 (Preprint hep-th/0111200) Bellucci S 2003 Phys. Rev. D 67 105014 (Preprint hep-th/0301227)
    • (2002) J. High Energy Phys.
    • Iengo, R.1    Ramachandran, R.2
  • 43
    • 0037973055 scopus 로고    scopus 로고
    • Preprint hep-th/0301227
    • Nair V P 2001 Phys. Lett. B 505 249-54 (Preprint hep-th/0008027) Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267 (Preprint hep-th/0011172) Karabali D, Nair V P and Polychronakos A P 2002 Nucl. Phys. B 627 565 (Preprint hep-th/0111249) Iengo R and Ramachandran R 2002 J. High Energy Phys. JHEP02(2002)017 (Preprint hep-th/0111200) Bellucci S 2003 Phys. Rev. D 67 105014 (Preprint hep-th/0301227)
    • (2003) Phys. Rev. D , vol.67 , pp. 105014
    • Bellucci, S.1
  • 45
    • 0035535346 scopus 로고    scopus 로고
    • Preprint hep-th/0101126
    • Taylor W 2001 Rev. Mod. Phys. 73 419 (Preprint hep-th/0101126) Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 (Preprint hep-th/0106048)
    • (2001) Rev. Mod. Phys. , vol.73 , pp. 419
    • Taylor, W.1
  • 46
    • 0035486599 scopus 로고    scopus 로고
    • Preprint hep-th/0106048
    • Taylor W 2001 Rev. Mod. Phys. 73 419 (Preprint hep-th/0101126) Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 (Preprint hep-th/0106048)
    • (2001) Rev. Mod. Phys. , vol.73 , pp. 977
    • Douglas, M.R.1    Nekrasov, N.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.