메뉴 건너뛰기




Volumn 35, Issue 27, 2002, Pages 5711-5729

Representations of the canonical group, (the semidirect product of the unitary and Weyl-Heisenberg groups), acting as a dynamical group on noncommutative extended phase space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041350399     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/27/312     Document Type: Article
Times cited : (47)

References (22)
  • 1
    • 0001420838 scopus 로고
    • On unitary representations of the inhomogeneous Lorentz group
    • Wigner E P 1939 On unitary representations of the inhomogeneous Lorentz group Ann. Math. 40 149-207
    • (1939) Ann. Math. , vol.40 , pp. 149-207
    • Wigner, E.P.1
  • 3
    • 0001506445 scopus 로고
    • A suggestion for unifying quantum theory and relativity
    • Born M 1938 A suggestion for unifying quantum theory and relativity Proc. R. Soc. A 165 291-302
    • (1938) Proc. R. Soc. A , vol.165 , pp. 291-302
    • Born, M.1
  • 4
    • 0000168016 scopus 로고
    • Reciprocity theory of elementary particles
    • Born M 1949 Reciprocity theory of elementary particles Rev. Mod. Phys. 21 463-73
    • (1949) Rev. Mod. Phys. , vol.21 , pp. 463-473
    • Born, M.1
  • 5
    • 51249181094 scopus 로고
    • Is there a maximal acceleration
    • Cainiello E R 1981 Is there a maximal acceleration Nuavo Cimento 32 65-70
    • (1981) Nuavo Cimento , vol.32 , pp. 65-70
    • Cainiello, E.R.1
  • 6
  • 7
    • 51249162306 scopus 로고
    • U(3,1) transformations with invariant symplectic and orthogonal metrics
    • Low S G 1993 U(3,1) transformations with invariant symplectic and orthogonal metrics Nuavo Cimento B 108 841-51
    • (1993) Nuavo Cimento B , vol.108 , pp. 841-851
    • Low, S.G.1
  • 8
    • 21144476152 scopus 로고
    • Relativistic and nonrelativistic dynamical groups
    • Bohm A 1993 Relativistic and nonrelativistic dynamical groups Found. Phys. 23 751-67
    • (1993) Found. Phys. , vol.23 , pp. 751-767
    • Bohm, A.1
  • 9
    • 0042625733 scopus 로고
    • Representations of certain semidirect product groups
    • Wolf J A 1975 Representations of certain semidirect product groups J. Fund. Anal. 19 339-72
    • (1975) J. Fund. Anal. , vol.19 , pp. 339-372
    • Wolf, J.A.1
  • 10
    • 36749118903 scopus 로고
    • The quantum mechanical representations of the anisotropic harmonic oscillator group
    • Major M E 1977 The quantum mechanical representations of the anisotropic harmonic oscillator group J. Math. Phys. 18 1938-43
    • (1977) J. Math. Phys. , vol.18 , pp. 1938-1943
    • Major, M.E.1
  • 11
    • 84976074623 scopus 로고
    • The anisotropic harmonic oscillator group
    • King G M 1974 The anisotropic harmonic oscillator group Proc. Camb. Phil. Soc. 75 235-48
    • (1974) Proc. Camb. Phil. Soc. , vol.75 , pp. 235-248
    • King, G.M.1
  • 12
    • 1842497441 scopus 로고
    • Casimir operators of semidirect sum Lie algebras
    • Quesne C 1988 Casimir operators of semidirect sum Lie algebras J. Phys. A: Math. Gen. 21 L321-4
    • (1988) J. Phys. A: Math. Gen. , vol.21
    • Quesne, C.1
  • 13
    • 0042625736 scopus 로고
    • Clebsch-Gordan coefficients and special functions identities: I. The harmonic oscillator group
    • Miller W Jr 1972 Clebsch-Gordan coefficients and special functions identities: I. The harmonic oscillator group J. Math. Phys. 13 648-55
    • (1972) J. Math. Phys. , vol.13 , pp. 648-655
    • Miller W., Jr.1
  • 14
    • 84980077803 scopus 로고
    • On a Hubert space of analytic functions and an associated integral transform
    • Bargmann V 1961 On a Hubert space of analytic functions and an associated integral transform Commun. Pure Appl. Math. 14 187-214
    • (1961) Commun. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 15
    • 0004195653 scopus 로고
    • Some remarks on the product of irreducible representations of the inhomogeneous Lorentz group
    • Boulder, CO: University of Colorado Press
    • Moussa P and Stora R 1964 Some remarks on the product of irreducible representations of the inhomogeneous Lorentz group Lectures in Theoretical Physics vol 7A (Boulder, CO: University of Colorado Press)
    • (1964) Lectures in Theoretical Physics , vol.7 A
    • Moussa, P.1    Stora, R.2
  • 16
    • 0041623753 scopus 로고
    • A classification of the unitary irreducible representations of script S sign script U sign(N, 1)
    • Ottoson U 1968 A classification of the unitary irreducible representations of script S sign script U sign(N, 1) Commun. Math. Phys. 10 114-31
    • (1968) Commun. Math. Phys. , vol.10 , pp. 114-131
    • Ottoson, U.1
  • 17
    • 0043126598 scopus 로고
    • On the unitary irreducible representations of script S sign script O sign(N, 1) and script U sign(N, 1) in the scalar product with the nonintertwining operator
    • Maekawa T 1991 On the unitary irreducible representations of script S sign script O sign(n, 1) and script U sign(N, 1) in the scalar product with the nonintertwining operator J. Math. Phys. 32 1193-202
    • (1991) J. Math. Phys. , vol.32 , pp. 1193-1202
    • Maekawa, T.1
  • 18
    • 0001420966 scopus 로고
    • On the representations of the semisimple Lie groups, II
    • Baird G C and Biedenharn L C 1963 On the representations of the semisimple Lie groups, II J. Math. Phys. 4 1449-66
    • (1963) J. Math. Phys. , vol.4 , pp. 1449-1466
    • Baird, G.C.1    Biedenharn, L.C.2
  • 19
    • 0042124669 scopus 로고
    • The Casimir operators of the unitary group
    • Popov V and Perelomov A 1967 The Casimir operators of the unitary group Sov. J. Nucl. Phys. 5 489-91
    • (1967) Sov. J. Nucl. Phys. , vol.5 , pp. 489-491
    • Popov, V.1    Perelomov, A.2
  • 20
    • 21344488144 scopus 로고
    • Coherent states of script S sign script U sign(l, 1) groups
    • Gilman D M and Shelepin A L 1993 Coherent states of script S sign script U sign(l, 1)groups J. Phys. A: Math. Gen. 26 7003-18
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 7003-7018
    • Gilman, D.M.1    Shelepin, A.L.2
  • 21
    • 84933607206 scopus 로고
    • Script S sign script U sign(1, 3) as a dynamical group: Analysis of all the discrete representations
    • Kalman C S 1973 script S sign script U sign(1, 3) as a dynamical group: analysis of all the discrete representations Can. J. Phys. 51 1573-6
    • (1973) Can. J. Phys. , vol.51 , pp. 1573-1576
    • Kalman, C.S.1
  • 22
    • 0043126599 scopus 로고
    • Script S sign script U sign(1, 3) as a dynamical group for hadron scattering states
    • Barbari S and Kalman C S 1980 script S sign script U sign(1, 3) as a dynamical group for hadron scattering states Nuovo Cimenta 27 513-8
    • (1980) Nuovo Cimenta , vol.27 , pp. 513-518
    • Barbari, S.1    Kalman, C.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.