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Volumn 38, Issue 1, 1999, Pages 475-500

Lie-Nambu and beyond

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EID: 0033243345     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026670215803     Document Type: Article
Times cited : (6)

References (54)
  • 1
    • 0002236813 scopus 로고
    • On a general characterization of nonlinear quantum dynamical maps
    • Alicki, R., and Majewski, W. A. (1990). On a general characterization of nonlinear quantum dynamical maps, Physics Letters A, 148, 69.
    • (1990) Physics Letters A , vol.148 , pp. 69
    • Alicki, R.1    Majewski, W.A.2
  • 2
    • 0042296792 scopus 로고
    • Non-linear completely positive maps
    • R. Nagel, U. Schlotterbeck, and B. V. Wolff, eds., North-Holland, Amsterdam
    • Ando, T., and Choi, M.-D. (1986). Non-linear completely positive maps, in Aspects of Positively in Functional Analysis, R. Nagel, U. Schlotterbeck, and B. V. Wolff, eds., North-Holland, Amsterdam.
    • (1986) Aspects of Positively in Functional Analysis
    • Ando, T.1    Choi, M.-D.2
  • 4
    • 35949044032 scopus 로고
    • Remarks concerning Nambu's generalized dynamics
    • Bayen, F., and Flato, M. (1975). Remarks concerning Nambu's generalized dynamics, Physical Review D, 11, 3049.
    • (1975) Physical Review D , vol.11 , pp. 3049
    • Bayen, F.1    Flato, M.2
  • 7
    • 0009257854 scopus 로고
    • Quantum mechanics as a generalization of Nambu dynamics to the Weyl-Wigner formalism
    • Białynicki-Birula, I., and Morrison, P. J. (1991). Quantum mechanics as a generalization of Nambu dynamics to the Weyl-Wigner formalism, Physics Letters A, 158, 453.
    • (1991) Physics Letters A , vol.158 , pp. 453
    • Białynicki-Birula, I.1    Morrison, P.J.2
  • 13
    • 0009175389 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equation and two-level atoms
    • Czachor, M. (1996a). Nonlinear Schrödinger equation and two-level atoms, Physical Review A, 53, 1310.
    • (1996) Physical Review A , vol.53 , pp. 1310
    • Czachor, M.1
  • 14
    • 0009244145 scopus 로고    scopus 로고
    • Lie-Poisson and Lie-Nambu structures in linear and nonlinear quantum mechanics
    • Czachor, M. (1996b). Lie-Poisson and Lie-Nambu structures in linear and nonlinear quantum mechanics, Acta Physica Polonica B, 27, 2319.
    • (1996) Acta Physica Polonica B , vol.27 , pp. 2319
    • Czachor, M.1
  • 15
    • 0009175873 scopus 로고    scopus 로고
    • Nambu-type generalization of the Dirac equation
    • Czachor, M. (1997a). Nambu-type generalization of the Dirac equation, Physics Letters A, 225, 1.
    • (1997) Physics Letters A , vol.225 , pp. 1
    • Czachor, M.1
  • 16
    • 0000914322 scopus 로고    scopus 로고
    • Nonlocal-looking equations can make nonlinear quantum dynamics local
    • Czachor, M. (1997b). Nonlocal-looking equations can make nonlinear quantum dynamics local, Physical Review A, 57, 4122.
    • (1997) Physical Review A , vol.57 , pp. 4122
    • Czachor, M.1
  • 17
    • 0009242446 scopus 로고    scopus 로고
    • Bargmann-Wigner spinors
    • edited by V. Dvoeglazov (Nova Science) - in print
    • Czachor, M. (1997c). "Bargmann-Wigner spinors", in The photon and the Poincare group edited by V. Dvoeglazov (Nova Science) - in print.
    • (1997) The Photon and the Poincare Group
    • Czachor, M.1
  • 18
    • 0000177210 scopus 로고    scopus 로고
    • Off-shell indefinite-metric triple-bracket generalization of the Dirac equation
    • H.-D. Doebner, W. Scherer, and P. Nattermann, eds. World Scientific, Singapore
    • Czachor, M., and Kuna, M. (1997a). Off-shell indefinite-metric triple-bracket generalization of the Dirac equation, in Group 21: Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, Vol. 1, H.-D. Doebner, W. Scherer, and P. Nattermann, eds. World Scientific, Singapore.
    • (1997) Group 21: Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras , vol.1
    • Czachor, M.1    Kuna, M.2
  • 19
    • 0001058856 scopus 로고    scopus 로고
    • Complete positivity of nonlinear evolution: A case study
    • Czachor, M., and Kuna, M. (1997b). Complete positivity of nonlinear evolution: A case study, Physical Review A 58, 128.
    • (1997) Physical Review A , vol.58 , pp. 128
    • Czachor, M.1    Kuna, M.2
  • 20
    • 0042285291 scopus 로고    scopus 로고
    • Density matrix interpretation of solutions of Lie-Nambu equations
    • Czachor, M., and Marciniak, M. (1997). Density matrix interpretation of solutions of Lie-Nambu equations, Physics Letters A 239, 353.
    • (1997) Physics Letters A , vol.239 , pp. 353
    • Czachor, M.1    Marciniak, M.2
  • 23
    • 0002963441 scopus 로고    scopus 로고
    • Generalized abelian deformations: Application to Nambu mechanics
    • Ditto, G., and Flato, M. (1997). Generalized Abelian deformations: Application to Nambu mechanics, Letters in Mathematical Physics, 39, 107.
    • (1997) Letters in Mathematical Physics , vol.39 , pp. 107
    • Ditto, G.1    Flato, M.2
  • 25
    • 0001694305 scopus 로고    scopus 로고
    • Introducing nonlinear gauge transformations in a family of nonlinear Schrödinger equations
    • Doebner, H.-D., and Goldin, G. A. (1996), Introducing nonlinear gauge transformations in a family of nonlinear Schrödinger equations, Physical Review A, 54, 3764.
    • (1996) Physical Review A , vol.54 , pp. 3764
    • Doebner, H.-D.1    Goldin, G.A.2
  • 26
    • 0002963441 scopus 로고    scopus 로고
    • Some remarks concerning Nambu mechanics
    • Gautheron, P. (1997). Some remarks concerning Nambu mechanics, Letters in Mathematical Physics, 39, 107.
    • (1997) Letters in Mathematical Physics , vol.39 , pp. 107
    • Gautheron, P.1
  • 28
    • 36449000537 scopus 로고
    • Nonlinear Schrödinger equations and the separation property
    • Goldin, G. A., and Svetlichny, G. (1994). Nonlinear Schrödinger equations and the separation property, Journal of Mathematical Physics, 35, 3322.
    • (1994) Journal of Mathematical Physics , vol.35 , pp. 3322
    • Goldin, G.A.1    Svetlichny, G.2
  • 29
    • 33646592339 scopus 로고
    • Comments on Mielnik's generalized (non linear) quantum mechanics
    • U.
    • Haag, R., and U. Bannier, U. (1978). Comments on Mielnik's generalized (non linear) quantum mechanics, Communications in Mathematical Physics, 60, 1.
    • (1978) Communications in Mathematical Physics , vol.60 , pp. 1
    • Haag, R.1    Bannier, U.2
  • 32
    • 4243801294 scopus 로고
    • General method for deforming quantum dynamics into classical dynamics while keeping h fixed
    • Jones, K. R. W. (1993) General method for deforming quantum dynamics into classical dynamics while keeping h fixed, Physical Review A, 48, 822.
    • (1993) Physical Review A , vol.48 , pp. 822
    • Jones, K.R.W.1
  • 33
    • 4243881559 scopus 로고
    • Exclusion of intrinsically classical domains and the problem quasiclassical correspondence
    • Jones, K. R. W. (1994) Exclusion of intrinsically classical domains and the problem quasiclassical correspondence, Physical Review A, 50, 1062.
    • (1994) Physical Review A , vol.50 , pp. 1062
    • Jones, K.R.W.1
  • 34
    • 0002761540 scopus 로고
    • Reconstructing a nonlinear dynamical framework for testing quantum mechanics
    • Jordan, T. F. (1993). Reconstructing a nonlinear dynamical framework for testing quantum mechanics, Annals of Physics, 225, 83.
    • (1993) Annals of Physics , vol.225 , pp. 83
    • Jordan, T.F.1
  • 35
    • 0031256825 scopus 로고    scopus 로고
    • On field theoretic generalizations of a poisson algebra
    • Kanatchikov, I. (1997). On field theoretic generalizations of a Poisson algebra, Reports on Mathematical Physics, 40, 225.
    • (1997) Reports on Mathematical Physics , vol.40 , pp. 225
    • Kanatchikov, I.1
  • 37
    • 0032066966 scopus 로고    scopus 로고
    • Elementary and binary darboux transforms at rings
    • Leble, S. B. (1997). Elementary and binary Darboux transforms at rings, Computers Math. Applic. 35, 73.
    • (1997) Computers Math. Applic. , vol.35 , pp. 73
    • Leble, S.B.1
  • 38
    • 0031116233 scopus 로고    scopus 로고
    • Intertwine operators and elementary darboux transforms in differential rings and modules
    • Leble, S. B., and Zaitsev, A. (1997). Intertwine operators and elementary Darboux transforms in differential rings and modules, Reports on Mathematical Physics, 39, 177.
    • (1997) Reports on Mathematical Physics , vol.39 , pp. 177
    • Leble, S.B.1    Zaitsev, A.2
  • 40
    • 35949035760 scopus 로고
    • Generalized Hamiltonian dynamics
    • Nambu, Y. (1973). Generalized Hamiltonian dynamics, Physical Review D, 7, 2405.
    • (1973) Physical Review D , vol.7 , pp. 2405
    • Nambu, Y.1
  • 42
    • 0009107321 scopus 로고    scopus 로고
    • Off-shell relativistic quantum mechanics and formulation of Dirac's equation using characteristic matrices
    • this issue
    • Naudts, J. (1998). Off-shell relativistic quantum mechanics and formulation of Dirac's equation using characteristic matrices, International Journal of Theoretical Physics, this issue.
    • (1998) International Journal of Theoretical Physics
    • Naudts, J.1
  • 44
    • 12044257940 scopus 로고
    • Weinberg's nonlinear quantum mechanics and the Einstein-Podolsky-Rosen paredox
    • Polchinski, J. (1991). Weinberg's nonlinear quantum mechanics and the Einstein-Podolsky-Rosen paredox, Physical Review Letters, 66, 397.
    • (1991) Physical Review Letters , vol.66 , pp. 397
    • Polchinski, J.1
  • 45
    • 0009100403 scopus 로고    scopus 로고
    • Private communication
    • Ratiu, T. (n.d.). Private communication.
    • Ratiu, T.1
  • 46
    • 0002555664 scopus 로고
    • Some fundamental questions of information theory
    • Rényi, A. (1960). Some fundamental questions of information theory, MTA III. Oszt. Közl. 19, 251; reprinted in Selected papers of Alfréd Rényi, Vol. 2, Akadémiai Kiadó, Budapest (1976).
    • (1960) MTA III. Oszt. Közl. , vol.19 , pp. 251
    • Rényi, A.1
  • 47
    • 0009103127 scopus 로고
    • Akadémiai Kiadó, Budapest
    • Rényi, A. (1960). Some fundamental questions of information theory, MTA III. Oszt. Közl. 19, 251; reprinted in Selected papers of Alfréd Rényi, Vol. 2, Akadémiai Kiadó, Budapest (1976).
    • (1976) Selected Papers of Alfréd Rényi , vol.2
  • 49
    • 0000303327 scopus 로고
    • On the statistics consistent with Nambu's new quantum rules. Quarks?
    • Sucre, M. Garcia, and Kálnay, A. (1975). On the statistics consistent with Nambu's new quantum rules. Quarks? International Journal of Theoretical Physics, 12, 149.
    • (1975) International Journal of Theoretical Physics , vol.12 , pp. 149
    • Sucre, M.G.1    Kálnay, A.2
  • 50
    • 21344477372 scopus 로고
    • On foundations of the generalized Nambu mechanics
    • Takhtajan, L. (1994). On foundations of the generalized Nambu mechanics, Communications in Mathematical Physics, 160, 295.
    • (1994) Communications in Mathematical Physics , vol.160 , pp. 295
    • Takhtajan, L.1
  • 53
    • 0007468830 scopus 로고
    • Testing quantum mechanics
    • Weinberg, S. (1989). Testing quantum mechanics, Annals of Physics, 194, 336.
    • (1989) Annals of Physics , vol.194 , pp. 336
    • Weinberg, S.1
  • 54
    • 0003308950 scopus 로고
    • Remarks on the mind-body problem in quantum mechanics
    • Indiana University Press, Bloomington
    • Wigner, E. P. (1967). Remarks on the mind-body problem in quantum mechanics, in Symmetries and Reflections, Indiana University Press, Bloomington.
    • (1967) Symmetries and Reflections
    • Wigner, E.P.1


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