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51

DISCRETE COORDINATE REALIZATIONS OF THE q-OSCILLATOR WHEN q>1

ATAKISHIYEV, N. M., KLIMYK, A. U.

Journal:

Modern Physics Letters A

Year:

2006

Language:

english

File:

PDF, 198 KB

english, 2006

52

On position and momentum operators in the q-oscillator algebra

Chung, Won-Sang, Klimyk, Anatoli U.

Journal:

Journal of Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 549 KB

english, 1996

53

On su[sub q](1,1)-models of quantum oscillator

Atakishiyev, M. N., Atakishiyev, N. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 501 KB

english, 2006

54

On position and momentum operators in the q -oscillator

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2005

Language:

english

File:

PDF, 139 KB

english, 2005

55

Finite q -oscillator

Atakishiyev, Natig M, Klimyk, Anatoliy U, Wolf, Kurt Bernardo

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 302 KB

english, 2004

56

Representation of Lie Groups and Special Functions ||

Vilenkin, N. Ja., Klimyk, A. U.

Year:

1991

Language:

english

File:

PDF, 39.17 MB

english, 1991

57

Representation of Lie Groups and Special Functions ||

Vilenkin, N. Ja., Klimyk, A. U.

Year:

1992

Language:

english

File:

PDF, 42.36 MB

english, 1992

58

[Research Reports in Physics] Problems of Modern Quantum Field Theory || Quantum Lie Superalgebras and Supergroups

Belavin, Aleksandr A., Klimyk, Anatolii U., Zamolodchikov, Aleksandr B.

Year:

1989

Language:

english

File:

PDF, 551 KB

english, 1989

59

Diagonalization of operators and one-parameter families of nonstandard bases for representations of suq(2)

Atakishiyev, N M, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2002

Language:

english

File:

PDF, 162 KB

english, 2002

60

On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms

Atakishiyev, N. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 485 KB

english, 2008

61

(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms

Klimyk, A., Patera, J.

Journal:

Journal of Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 501 KB

english, 2007

62

(Anti)symmetric multivariate exponential functions and corresponding Fourier transforms

Klimyk, A U, Patera, J

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2007

Language:

english

File:

PDF, 224 KB

english, 2007

63

Representations of the cyclically symmetric q-deformed algebra so[sub q](3)

Havlı́ček, M., Klimyk, A. U., Pošta, S.

Journal:

Journal of Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 696 KB

english, 1999

64

Representations of the q-deformed algebra U[sub q][sup ʹ](so[sub 4])

Havlı́ček, M., Klimyk, A. U., Pošta, S.

Journal:

Journal of Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 547 KB

english, 2001

65

Infinitesimal operators and structure of the most degenerate representations of the groups Sp( p+q) and Sp( p, q) in an Sp( p)×Sp(q) basis

Klimyk, A. U., Gruber, Bruno

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 831 KB

english, 1984

66

Representations of the q-deformed algebra U q '(SO 4 )

Kachurik, I I, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1994

Language:

english

File:

PDF, 394 KB

english, 1994

67

On Racah coefficients of the quantum algebra U q (su 2 )

Kachurik, I I, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1990

Language:

english

File:

PDF, 522 KB

english, 1990

68

The q-Laplace operator and q-harmonic polynomials on the quantum vector space

Iorgov, N. Z., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 373 KB

english, 2001

69

Wigner-Eckart theorem for the quantum group U q (n)

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1992

Language:

english

File:

PDF, 342 KB

english, 1992

70

General recurrence relations for Clebsch-Gordan coefficients of the quantum algebra U q (su 2 )

Kachurik, I I, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1991

Language:

english

File:

PDF, 249 KB

english, 1991

71

Representations of the quantum algebra U q,s (su 1,1 )

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1993

Language:

english

File:

PDF, 359 KB

english, 1993

72

Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. II

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 357 KB

english, 1979

73

Symmetries of Clebsch–Gordan coefficients of the quantum group Uq(n)

Journal:

Journal of Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 1.29 MB

english, 1995

74

Representations of the groups Sp(n,R) and Sp(n) in a U(n) basis

Klimyk, Anatoli U.

Journal:

Journal of Mathematical Physics

Year:

1983

Language:

english

File:

PDF, 751 KB

english, 1983

75

Structure and matrix elements of the degenerate series representations of U(p+q) and U(p,q) in a U(p)×U(q) basis

Klimyk, Anatoli U.

Journal:

Journal of Mathematical Physics

Year:

1982

Language:

english

File:

PDF, 804 KB

english, 1982

76

On representations of the groups Sp(n, 1) and Sp(n)

Holod, P.I., Klimyk, A.U.

Journal:

Reports on Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 1.11 MB

english, 1985

77

Matrix elements of tensor operators

Journal:

Reports on Mathematical Physics

Year:

1975

Language:

english

File:

PDF, 669 KB

english, 1975

78

Matrix elements for the representations of SO(n) and SO0(n, 1)

Kachurik, I.I., Klimyk, A.U.

Journal:

Reports on Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 793 KB

english, 1984

79

A Laplace operator and harmonics on the quantum complex vector space

Iorgov, N. Z., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 498 KB

english, 2003

80

[Research Reports in Physics] Problems of Modern Quantum Field Theory ||

Belavin, Aleksandr A., Klimyk, Anatolii U., Zamolodchikov, Aleksandr B.

Year:

1989

Language:

english

File:

PDF, 12.06 MB

english, 1989

81

Relations between spherical functions of compact groups

Klimyk, A. U., Vilenkin, N. Ja.

Journal:

Journal of Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 669 KB

english, 1989

82

Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1)

Gruber, Bruno, Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

1978

Language:

english

File:

PDF, 854 KB

english, 1978

83

Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. I

Klimyk, Anatoli U.

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 1.31 MB

english, 1979

84

Big q -Laguerre and q -Meixner polynomials and representations of the quantum algebra U q (su 1,1 )

Atakishiyev, M N, Atakishiyev, N M, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2003

Language:

english

File:

PDF, 159 KB

english, 2003

85

Naum Yakovlevich Vilenkin (on his seventieth birthday)

Karpelevich, F I, Klimyk, A U, Koganov, L M, Ol'shanetskii, M A, Rogov, V-B K, Rubinshtein, A I, Smorodinskii, Ya A

Journal:

Russian Mathematical Surveys

Year:

1991

File:

PDF, 563 KB

1991

86

Harmonics on the quantum Euclidean space

N. Iorgov, A. Klimyk

Year:

2003

Language:

english

File:

PDF, 201 KB

english, 2003

87

Conference on Group-Theory Methods in Physics

A. U. Klimyk, A. M. Gavrilik

Year:

1978

Language:

english

File:

PDF, 221 KB

english, 1978

88

Representations of theq-deformed algebraUq(iso2)

M. Havlícek, A. Klimyk, S. Posta

Year:

1999

Language:

english

File:

PDF, 178 KB

english, 1999

89

The embedding U ' q ( so 3 )⊂ U q ( sl 3 )

Kachurik, I I, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 207 KB

english, 2001

90

Alternating multivariate trigonometric functions and corresponding Fourier transforms

A. U. Klimyk, J. Patera

Year:

2008

Language:

english

File:

PDF, 207 KB

english, 2008

91

A discrete quantum model of the harmonic oscillator

N. M. Atakishiyev, A. U. Klimyk, K. B. Wolf

Year:

2008

Language:

english

File:

PDF, 233 KB

english, 2008

92

A MODEL OF QUANTUM OSCILLATOR WITH DISCRETE SPACE

KACHURYK, I. I., KLIMYK, A. U.

Journal:

Modern Physics Letters A

Year:

2008

Language:

english

File:

PDF, 159 KB

english, 2008

93

[Handbook of Algebra] Volume 2 || Infinite-dimensional representations of quantum algebras

Year:

2000

Language:

english

File:

PDF, 1.39 MB

english, 2000

94

Representations of the quantum algebras U q ( u r , s ) and U q ( u r + s ) related to the quantum hyperboloid and sphere

Klimyk, A. U., Pakuliak, S. Z.

Journal:

Journal of Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 983 KB

english, 1992

95

-deformed algebra

Iorgov, N. Z., Klimyk, A. U.

Journal:

International Journal of Mathematics and Mathematical Sciences

Year:

2005

Language:

english

File:

PDF, 2.11 MB

english, 2005