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GEOMETRIC METHODS IN PHYSICS dynamical systems |
Moyal bracket ------------ 1998 ------------------- Antonsen F. WIGNER-WEYL-MOYAL FORMALISM ON ALGEBRAIC STRUCTURES International Journal of Theoretical Physics. 37(2):697-757, 1998 Feb. Dayi OF. Q-DEFORMED STAR PRODUCTS AND MOYAL BRACKETS Journal of Mathematical Physics. 39(1):489-496, 1998 Jan. Elkinani EH. Ouarab A. MOYAL QUANTIZATION OF SDIFF(T-2K/N), Q-DEFORMATION, AND Q-MOYAL BRACKET International Journal of Theoretical Physics. 37(3):1011-1017, 1998 Mar. Gadella M. Nieto LM. FERMION SYSTEMS AND THE MOYAL FORMULATION OF QUANTUM MECHANICS Journal of Physics A-Mathematical & General. 26(21):6043-6053, 1993 Nov 7. Gozzi E. Reuter M. A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS International Journal of Modern Physics A. 9(13):2191-2227, 1994 May 20. Giaquinto A. Zhang JJ. BIALGEBRA ACTIONS, TWISTS, AND UNIVERSAL DEFORMATION FORMULAS Journal of Pure & Applied Algebra. 128(2):133-151, 1998 Jun 26. Garciacompean H. Plebanski JF. Przanowski M. GEOMETRY ASSOCIATED WITH SELF-DUAL YANG-MILLS AND THE CHIRAL MODEL APPROACHES TO SELF-DUAL GRAVITY Acta Physica Polonica B. 29(3):549-571, 1998 Mar. Garciacompean H. Plebanski JF. Quirozperez N. ON THE REDUCED SU(N) GAUGE THEORY IN THE WEYL-WIGNER-MOYAL FORMALISM International Journal of Modern Physics A. 13(13):2089-2102, 1998 May 20. Hushwater V. A PATH FROM THE QUANTIZATION OF THE ACTION VARIABLE TO QUANTUM MECHANICAL FORMALISM Foundations of Physics. 28(2):167-184, 1998 Feb. Kemmoku R. Saito S. DISCRETIZATION OF VIRASORO ALGEBRA Physics Letters B. 319(4):471-477, 1993 Dec 30. Landsman NP. DEFORMATIONS OF ALGEBRAS OF OBSERVABLES AND THE CLASSICAL LIMIT OF QUANTUM MECHANICS [Review] Reviews in Mathematical Physics. 5(4):775-806, 1993 Dec. Tzanakis C. Grecos AP. GENERALIZED MOYAL STRUCTURES IN PHASE-SPACE, MASTER EQUATIONS AND THEIR CLASSICAL LIMIT I - GENERAL FORMALISM PHYSICA A. 256(1-2):87-111, 1998 Jul 15. Vercin A. METAPLECTIC COVARIANCE OF THE WEYL-WIGNER-GROENEWOLD-MOYAL QUANTIZATION AND BEYOND Annals of Physics. 266(2):503-523, 1998 Jul 1. ------------ 1997 ------------------- Arratia O. Delolmo MA. CONTRACTION OF REPRESENTATIONS OF 1+1 KINEMATICAL GROUPS AND QUANTIZATION International Journal of Modern Physics A. 12(1):125-130, 1997 Jan 10. Bowes D. Hannabuss KC. WEYL QUANTIZATION AND STAR PRODUCTS Journal of Geometry & Physics. 22(4):319-348, 1997 Jul. Curtright T. Fairlie D. Zachos C. INTEGRABLE SYMPLECTIC TRILINEAR INTERACTION TERMS FOR MATRIX MEMBRANES Physics Letters B. 405(1-2):37-44, 1997 Jul 17. Castro C. A MOYAL QUANTIZATION OF THE CONTINUOUS TODA FIELD Physics Letters B. 413(1-2):53-62, 1997 Nov 6. Dereli T. Vercin A. W-INFINITY-COVARIANCE OF THE WEYL-WIGNER-GROENEWOLD-MOYAL QUANTIZATION Journal of Mathematical Physics. 38(11):5515-5530, 1997 Nov. Garciacompean H. Plebanski JF. ON THE WEYL-WIGNER-MOYAL DESCRIPTION OF SU(INFINITY) NAHM EQUATIONS Physics Letters A. 234(1):5-12, 1997 Sep 8. Gozzi E. CAN WE LOOK AT THE QUANTISATION RULES AS CONSTRAINTS Nuclear Physics B. (Suppl 57B):223-226, 1997 Aug. Gratus J. A NATURAL BASIS OF STATES FOR THE NONCOMMUTATIVE SPHERE AND ITS MOYAL BRACKET Journal of Mathematical Physics. 38(8):4283-4300, 1997 Aug. Kemmoku R. DIFFERENCE OPERATOR APPROACH TO THE MOYAL QUANTIZATION AND ITS APPLICATION TO INTEGRABLE SYSTEMS Journal of the Physical Society of Japan. 66(1):51-59, 1997 Jan. Strachan IAB. A GEOMETRY FOR MULTIDIMENSIONAL INTEGRABLE SYSTEMS Journal of Geometry & Physics. 21(3):255-278, 1997 Feb. Tzanakis C. Dimakis A. ON THE UNIQUENESS OF THE MOYAL-STRUCTURE OF PHASE-SPACE FUNCTIONS Journal of Physics A-Mathematical & General. 30(13):4857-4866, 1997 Jul 7. ------------ 1996 ------------------- Dzhumadildaev A. VIRASORO TYPE LIE ALGEBRAS AND DEFORMATIONS Zeitschrift fur Physik C-Particles & Fields. 72(3):509-517, 1996 Oct. Djemai AEF. QUANTUM MECHANICS AS A MATRIX SYMPLECTIC GEOMETRY International Journal of Theoretical Physics. 35(3):519-556, 1996 Mar. Farini A. Boccaletti S. Arecchi FT. QUANTUM-CLASSICAL COMPARISON IN CHAOTIC SYSTEMS Physical Review A. 53(5 Part A):4447-4450, 1996 May. Kemmoku R. Saito S. DIFFERENCE OPERATOR APPROACH TO THE MOYAL QUANTIZATION Journal of the Physical Society of Japan. 65(7):1881-1884, 1996 Jul. Lledo MA. Garciasucre M. ON THE QUANTUM DEFORMATIONS OF HAMILTONIAN SYSTEMS Journal of Mathematical Physics. 37(1):160-173, 1996 Jan. Molin P. A STAR PRODUCT ON THE SPHERICAL HARMONICS Letters in Mathematical Physics. 38(3):227-236, 1996 Nov. Martin MA. Delolmo MA. CENTRAL EXTENSIONS AND REALIZATIONS OF ONE-DIMENSIONAL GALILEAN SYSTEMS AND QUANTIZATION Journal of Physics A-Mathematical & General. 29(3):689-707, 1996 Feb 7. Plebanski JF. Przanowski M. THE LAGRANGIAN OF A SELF-DUAL GRAVITATIONAL FIELD AS A LIMIT OF THE SDYM LAGRANGIAN Physics Letters A. 212(1-2):22-28, 1996 Mar 11. Plebanski JF. Przanowski M. Tosiek J. THE WEYL-WIGNER-MOYAL FORMALISM .2. THE MOYAL BRACKET Acta Physica Polonica B. 27(9):1961-1990, 1996 Sep. Zhang LN. AN EXPLICIT MOYAL PRODUCT REALIZATION OF QUANTUM DEFORMATION Communications in Theoretical Physics. 26(2):207-212, 1996 Sep 15. ------------ 1995 ------------------- Arnal D. Cortet JC. Ludwig J. MOYAL PRODUCT AND REPRESENTATIONS OF SOLVABLE LIE GROUPS Journal of Functional Analysis. 133(2):402-424, 1995 Nov 1. Gadella M. MOYAL FORMULATION OF QUANTUM MECHANICS Fortschritte der Physik-Progress of Physics. 43(3):229-264, 1995. Graciabondia JM. Varilly JC. FROM GEOMETRIC QUANTIZATION TO MOYAL QUANTIZATION Journal of Mathematical Physics. 36(6):2691-2701, 1995 Jun. Gawrylczyk J. RELATIONSHIP BETWEEN THE MOYAL KP AND THE SATO KP HIERARCHIES Journal of Physics A-Mathematical & General. 28(15):4381-4388, 1995 Aug 7. Osborn TA. Molzahn FH. MOYAL QUANTUM MECHANICS - THE SEMICLASSICAL HEISENBERG DYNAMICS Annals of Physics. 241(1):79-127, 1995 Jul. Plebanski JF. Garciacompean H. A Q-DEFORMED VERSION OF THE HEAVENLY EQUATIONS International Journal of Modern Physics A. 10(23):3371-3379, 1995 Sep 20. Plebanski JF. Przanowski M. Rajca B. Tosiek J. THE MOYAL DEFORMATION OF THE SECOND HEAVENLY EQUATION Acta Physica Polonica B. 26(5):889-902, 1995 May. Tosiek J. Przanowski M. WEYL-WIGNER-MOYAL FORMALISM .1. OPERATOR ORDERING Acta Physica Polonica B. 26(11):1703-1716, 1995 Nov. Varadarajan VS. VARIATIONS ON A THEME OF SCHWINGER AND WEYL Letters in Mathematical Physics. 34(3):319-326, 1995 Jul. ------------ 1994 ------------------- Azuma H. W-INFINITY-ALGEBRA IN THE INTEGER QUANTUM HALL EFFECTS Progress of Theoretical Physics. 92(2):293-307, 1994 Aug. Bonneau P. Flato M. Gerstenhaber M. Pinczon G. THE HIDDEN GROUP STRUCTURE OF QUANTUM GROUPS - STRONG DUALITY, RIGIDITY AND PREFERRED DEFORMATIONS Communications in Mathematical Physics. 161(1):125-156, 1994 Mar. Braunss G. ON THE REGULAR HILBERT SPACE REPRESENTATION OF A MOYAL QUANTIZATION Journal of Mathematical Physics. 35(5):2045-2056, 1994 May. Gadella M. Nieto LM. ON THE MOYAL FORMULATION OF QUANTUM IDENTICAL PARTICLES Fortschritte der Physik-Progress of Physics. 42(3):261-279, 1994. Gozzi E. Reuter M. A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS International Journal of Modern Physics A. 9(13):2191-2227, 1994 May 20. Muller CW. CORRELATED SPIN STATES IN THE PHASE SPACE REPRESENTATION Physics Letters A. 193(1):1-4, 1994 Sep 19. Sahoo D. Valsakumar MC. NONEXISTENCE OF QUANTUM NAMBU MECHANICS Modern Physics Letters A. 9(29):2727-2732, 1994 Sep 21. Takada T. Hara T. THE RELATIONSHIP BETWEEN THE TRANSITION MATRIX MODEL AND THE DIFFUSION MODEL Journal of Mathematical Biology. 32(8):789-807, 1994 Oct. Takasaki K. DRESSING OPERATOR APPROACH TO MOYAL ALGEBRAIC DEFORMATION OF SELFDUAL GRAVITY Journal of Geometry & Physics. 14(2):111-120, 1994 Aug. Wlodarz JJ. ON QUANTUM MECHANICAL PHASE-SPACE WAVE FUNCTIONS Journal of Chemical Physics. 100(10):7476-7480, 1994 May 15. ------------ 1993 ------------------- Brylinski R. Kostant B. MINIMAL REPRESENTATIONS OF E(6), E(7), AND E(8) AND THE GENERALIZED CAPELLI IDENTITY Proceedings of the National Academy of Sciences of the United States of America. 91(7):2469-2472, 1994 Mar 29. Fei SM. Guo HY. QUANTUM ALGEBRA AS DEFORMATION SYMMETRY Communications in Theoretical Physics. 20(3):299-312, 1993. (or 98?) Gadella M. Nieto LM. FERMION SYSTEMS AND THE MOYAL FORMULATION OF QUANTUM MECHANICS Journal of Physics A-Mathematical & General. 26(21):6043-6053, 1993 Nov 7. Kemmoku R. Saito S. DISCRETIZATION OF VIRASORO ALGEBRA Physics Letters B. 319(4):471-477, 1993 Dec 30. Landsman NP. DEFORMATIONS OF ALGEBRAS OF OBSERVABLES AND THE CLASSICAL LIMIT OF QUANTUM MECHANICS [Review] Reviews in Mathematical Physics. 5(4):775-806, 1993 Dec. Mladenov IM. Tsanov VV. QUANTIZATION OF THE MOMENT MAP OF COUPLED HARMONIC OSCILLATORS Journal of Physics A-Mathematical & General. 26(23):7115-7123, 1993 Dec 7. Top of this page