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GEOMETRIC METHODS IN PHYSICS dynamical systems |
NAMBU MECHANICS ------------ 1998 ------------------- Blaszak M. On separability of bi-hamiltonian chain with degenerated Poisson structures Journal of Mathematical Physics. 39(6):3213-3235, 1998 Jun. Cendra H. Holm DD. Hoyle MJW. Marsden JE. The Maxwell-Vlasov equations in Euler-Poincare form Journal of Mathematical Physics. 39(6):3138-3157, 1998 Jun. Czachor M. Marciniak M. Density matrix interpretation of solutions of Lie-Nambu equations Physics Letters A. 239(6):353-358, 1998 Mar 16. Holm DD. Marsden JE. Ratiu TS. The Euler-Poincare equations and semidirect products with applications to continuum theories [rEVIEW] Advances in Mathematics. 137(1):1-81, 1998 Jul 15. Hone ANW. On the non-integrability of Roys system Nuovo Cimento della Societa Italiana di Fisica A-Nuclei Particles and Fields. 111(2):205-209, 1998 Feb. Ibanez R. Deleon M. Marrero JC. Homology and cohomology on generalized Poisson manifolds Journal of Physics A-Mathematical & General. 31(4):1253-1266, 1998 Jan 30. Ibanez R. Deleon M. Marrero JC. Padron E. Nambu-Jacobi and generalized Jacobi manifolds Journal of Physics A-Mathematical & General. 31(4):1267-1286, 1998 Jan 30. Jiang ZM. A similar extension of the WKI hierarchy, its Hamiltonian structure and the associated finite-dimensional Hamiltonian system PHYSICA A. 253(1-4):154-160, 1998 May 1. Marmo G. Vilasi G. Vinogradov AM. The local structure of n-Poisson and n-Jacobi manifolds Journal of Geometry & Physics. 25(1-2):141-182, 1998 Apr. Muradian R. Santana AE. Hopf structure in Nambu-Lie n-algebras Theoretical & Mathematical Physics. 114(1):67-72, 1998 Jan. Nakanishi N. On Nambu-PoIsson manifolds [Review] Reviews in Mathematical Physics. 10(4):499-510, 1998 May. Pandit, S. A.; Gangal, A. D. On generalized Nambu mechanics Journal of physics A: Mathematical and general. Volume 31, Number 12 2899, 1998 Tsuchida T. Wadati M. Bi-Hamiltonian structure of modified Volterra model CHAOS SOLITONS & FRACTALS. 9(6):869-873, 1998 Jun. ------------ 1997 ------------------- Bialynicki-Birula, I; Morrison, P J Quantum Mechanics as a Generalization of Nambu Dynamics to the Weyl-Wigner Formalism Zeitschrift fur Naturforschung. A, A journal of physical sciences. Volume 52, Number 1-2 pp. 9 , 1997 Bueno JCP. Generalized Jacobi structures Journal of Physics A-Mathematical & General. 30(18):6509-6515, 1997 Sep 21. Czachor M. Nambu-type generalization of the Dirac equation Physics Letters A. 225(1-3):1-12, 1997 Jan 27. Deazcarraga JA. Izquierdo JM. Bueno JCP. On the higher-order generalizations of Poisson structures Journal of Physics A-Mathematical & General. 30(18):L 607-L 616, 1997 Sep 21. Deazcarraga JA. Izquierdo JM. Perelomov AM. Perezbueno JC. The z(2)-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures Journal of Mathematical Physics. 38(7):3735-3749, 1997 Jul. Daletskii YL. Takhtajan LA. Leibniz and Lie algebra structures for Nambu algebra Letters in Mathematical Physics. 39(2):127-141, 1997 Jan. Dito, G; Flato, M; Sternheimer, D; Takhtajan, L Deformation Quantization and Nambu Mechanics. Communications in mathematical physics. Volume 183, Number 1 pp. 1 , 1997 Dito, Giuseppe; Flato, Moshe Generalized Abelian Deformations: Application to Nambu Mechanics Letters in mathematical physics. Volume 39, Number 2 pp. 107 , 1997 Guha P. Volume-preserving integrable systems and Nambu-Poisson manifolds Classical & Quantum Gravity. 14(2):L 37-L 43, 1997 Feb. Hoppe J. On m-algebras, the quantisation of Nambu-mechanics, and volume preserving diffeomorphisms Helvetica Physica Acta. 70(1-2):302-317, 1997 Jan. Hietarinta J. Nambu tensors and commuting vector fields Journal of Physics A-Mathematical & General. 30(3):L 27-L 33, 1997 Feb 7. Ibanez R. Deleon M. Marrero JC. Dediego DM. Dynamics of generalized Poisson and Nambu-Poisson brackets Journal of Mathematical Physics. 38(5):2332-2344, 1997 May. Lassig, C C; Joshi, G C Constrained Systems Described by Nambu Mechanics Letters in mathematical physics. Volume 41, Number 1 pp. 59 , 1997 Lyakhovsky VD. Mirolubov AM. Deformed Lie-Poisson structures for quantized groups Czechoslovak Journal of Physics. 47(1):63-70, 1997 Jan. ------------ 1996 ------------------- Codriansky, S.; Navarro, R.; Pedroza, M. The Liouville condition and Nambu mechanics Journal of physics A: Mathematical and general. Volume 29, Number 5 1037, 1996 Chatterjee, Rupak; Takhtajan, Leon Aspects of Classical and Quantum Nambu Mechanics Letters in mathematical physics. Volume 37, Number 4 pp. 475 , 1996 Chatterjee, Rupak Dynamical Symmetries and Nambu Mechanics Letters in mathematical physics. Volume 36, Number 2 pp. 117 , 1996 Czachor M. Lie-Nambu and Lie-Poisson structures in linear and nonlinear quantum mechanics Acta Physica Polonica B. 27(10):2319-2325, 1996 Oct. Deazcarraga JA. Perelomov AM. Bueno JCP. The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures Journal of Physics A-Mathematical & General. 29(24):7993-8009, 1996 Dec 21. Gautheron, Philippe Some Remarks Concerning Nambu Mechanics Letters in mathematical physics. Volume 37, Number 1 pp. 103, , 1996 Morando, P. Liouville condition, Nambu mechanics, and differential forms Journal of physics A: Mathematical and general. Volume 29, Number 13 L329, 1996 Unal G. Symmetries, integrating factors and Nambu mechanics Physics Letters A. 223(5):355-358, 1996 Dec 16. ------------ 1995 and before ------------------- Sahoo, D.; Valsakumar, M. C. Nonexistence of Quantum Nambu Mechanics Modern physics letters A. Volume 9, Number 29 2727, 1994 Codriansky, S.; Gonzalez Bernardo, C. A.; Aglaee, A.; Carrillo, F.; Castellanos, J. Developments in Nambu mechanics. Journal of physics A: Mathematical and general. Volume 27, Number 7 2565, 1994 Takhtajan, L. On Foundation of the Generalized Nambu Mechanics. Communications in mathematical physics. Volume 160, Number 2 295, 1994 Yan, C.C. Quantization based on generalized Poisson bracket Il Nouvo Cimento Vo 107B N 11 1922? , pp 1239-1259 Hiriyama, Minoru Realization of Nambu mechanics: A particle interacting with an SU(2) monopole Phys Rev D Vol 16 no 2 1977 , p. 530 Hiriyama, Minoru Nambu mechanics of a non-Abelian dyons Phys Rev D Vol 17 no 2 1978 , p 546 Top of this page