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GEOMETRIC METHODS IN PHYSICS dynamical systems |
Geometric quantization ------------ 1998 ------------------- Albeverio S. Fei SM. CURRENT ALGEBRAS OVER MANIFOLDS - POISSON ALGEBRAS, Q-DEFORMATIONS AND QUANTIZATION JOURNAL OF GEOMETRY AND PHYSICS. 27(1-2):30-48, 1998 Aug. Borthwick D. Uribe A. ALMOST-COMPLEX STRUCTURES AND GEOMETRIC QUANTIZATION (VOL 3, PG 845, 1996) Mathematical Research Letters. 5(1-2):211-212, 1998 Jan-Mar. Habermann K. HARMONIC SYMPLECTIC SPINORS ON RIEMANN SURFACES Manuscripta Mathematica. 94(4):465-484, 1997 Dec. Kimura M. GEOMETRIC QUANTIZATION ON A COSET SPACE G/H Progress of Theoretical Physics. 99(3):467-476, 1998 Mar. Manoliu M. ABELIAN CHERN-SIMONS THEORY - I - A TOPOLOGICAL QUANTUM FIELD THEORY Journal of Mathematical Physics. 39(1):170-206, 1998 Jan. Manoliu M. ABELIAN CHERN-SIMONS THEORY - II - A FUNCTIONAL INTEGRAL APPROACH Journal of Mathematical Physics. 39(1):207-217, 1998 Jan. Penna V. Spera M. REMARKS ON QUANTUM VORTEX THEORY ON RIEMANN SURFACES JOURNAL OF GEOMETRY AND PHYSICS. 27(1-2):99-112, 1998 Aug. Qiang Z. THE REPRESENTATIONS OF LIE GROUPS AND GEOMETRIC QUANTIZATIONS Communications in Mathematical Physics. 194(1):135-148, 1998 May. Rajeev SG. Turgut OT. GEOMETRIC QUANTIZATION AND TWO DIMENSIONAL QCD Communications in Mathematical Physics. 192(3):493-517, 1998 Apr. Tian YL. Zhang WP. AN ANALYTIC PROOF OF THE GEOMETRIC QUANTIZATION CONJECTURE OF GUILLEMIN-STERNBERG Inventiones Mathematicae. 132(2):229-259, 1998 May. Wu YR. QUANTIZATION OF A PARTICLE IN A BACKGROUND YANG-MILLS FIELD Journal of Mathematical Physics. 39(2):867-875, 1998 Feb. ------------ 1997 ------------------- Andersen JE. GEOMETRIC QUANTIZATION OF SYMPLECTIC MANIFOLDS WITH RESPECT TO REDUCIBLE NON-NEGATIVE POLARIZATIONS Communications in Mathematical Physics. 183(2):401-421, 1997 Jan. Corichi A. Ryan MP. QUANTIZATION OF NON-STANDARD HAMILTONIAN SYSTEMS Journal of Physics A-Mathematical & General. 30(10):3553-3572, 1997 May 21. Deleon M. Marrero JC. Padron E. ON THE GEOMETRIC QUANTIZATION OF JACOBI MANIFOLDS Journal of Mathematical Physics. 38(12):6185-6213, 1997 Dec. Guo MZ. Qian M. Wang ZD. A FEYNMAN-KAC FORMULA FOR GEOMETRIC QUANTIZATION Science in China Series A-Mathematics Physics Astronomy & Technological Sciences. 39(3):238-245, 1996 Mar. Habermann K. BASIC PROPERTIES OF SYMPLECTIC DIRAC OPERATORS Communications in Mathematical Physics. 184(3):629-652, 1997 Mar. Jeffrey LC. Kirwan FC. LOCALIZATION AND THE QUANTIZATION CONJECTURE Topology. 36(3):647-693, 1997 May. Jorjadze G. CONSTRAINED QUANTIZATION ON SYMPLECTIC MANIFOLDS AND QUANTUM DISTRIBUTION FUNCTIONS Journal of Mathematical Physics. 38(6):2851-2879, 1997 Jun. Kotov AY. ON THE GEOMETRIC QUANTIZATION OF R-MATRIX-TYPE POISSON BRACKETS Theoretical & Mathematical Physics. 112(2):988-994, 1997 Aug. Manoliu M. QUANTIZATION OF SYMPLECTIC TORI IN A REAL POLARIZATION Journal of Mathematical Physics. 38(5):2219-2254, 1997 May. Suzuki T. A NOTE ON QUANTUM LIOUVILLE THEORY VIA THE QUANTUM GROUP - AN APPROACH TO STRONG COUPLING LIOUVILLE THEORY Nuclear Physics B. 492(3):717-742, 1997 May 19. Tian YL. Zhang WP. SYMPLECTIC REDUCTION AND QUANTIZATION Comptes Rendus de l Academie des Sciences Serie I-Mathematique. 324(4):433-438, 1997 Feb. ------------ 1996 ------------------- Aldaya V. Calixto M. Guerrero J. ALGEBRAIC QUANTIZATION, GOOD OPERATORS AND FRACTIONAL QUANTUM NUMBERS Communications in Mathematical Physics. 178(2):399-424, 1996 May. Alicki R. Klauder JR. QUANTIZATION OF SYSTEMS WITH A GENERAL PHASE SPACE EQUIPPED WITH A RIEMANNIAN METRIC Journal of Physics A-Mathematical & General. 29(10):2475-2483, 1996 May 21. Bao DH. Zhu ZY. OPERATOR ORDERING PROBLEM AND COORDINATE-FREE NATURE OF GEOMETRIC QUANTIZATION Communications in Theoretical Physics. 25(2):189-194, 1996 Mar 15. Elgradechi AM. Nieto LM. SUPERCOHERENT STATES, SUPER-KAHLER GEOMETRY AND GEOMETRIC QUANTIZATION Communications in Mathematical Physics. 175(3):521-563, 1996 Feb. Goldin GA. QUANTUM VORTEX CONFIGURATIONS Acta Physica Polonica B. 27(10):2341-2355, 1996 Oct. Klimek S. Lesniewski A. QUANTUM RIEMANN SURFACES FOR ARBITRARY PLANCKS CONSTANT Journal of Mathematical Physics. 37(5):2157-2165, 1996 May. Miranda AD. WAVE FUNCTIONS IN GEOMETRIC QUANTIZATION International Journal of Theoretical Physics. 35(10):2139-2168, 1996 Oct. Qiang Z. QUANTUM KINEMATICS AND GEOMETRIC QUANTIZATION Journal of Geometry & Physics. 21(1):34-42, 1996 Dec. Robson MA. GEOMETRIC QUANTIZATION OF REDUCED COTANGENT BUNDLES Journal of Geometry & Physics. 19(3):207-245, 1996 Jul. Vergne M. MULTIPLICITIES FORMULA FOR GEOMETRIC QUANTIZATION .1. Duke Mathematical Journal. 82(1):143-179, 1996 Jan. Vergne M. MULTIPLICITIES FORMULA FOR GEOMETRIC QUANTIZATION .2. Duke Mathematical Journal. 82(1):181-194, 1996 Jan. Vina A. BUNDLE OF QUANTIZATIONS OF A SYMPLECTIC TORUS Letters in Mathematical Physics. 36(3):231-245, 1996 Mar. Wolman AG. THE GEOMETRIC QUANTIZATION OF THE MODULI SPACE OF RIEMANN SURFACES WITH EVEN SPIN STRUCTURE Journal fur die Reine und Angewandte Mathematik. 477:31-70, 1996. ------------ 1995 ------------------- Ali ST. Antoine JP. Gazeau JP. Mueller UA. COHERENT STATES AND THEIR GENERALIZATIONS - A MATHEMATICAL OVERVIEW [Review] Reviews in Mathematical Physics. 7(7):1013-1104, 1995 Oct. Barcelosneto J. Desouza SM. GEOMETRIC QUANTIZATION OF TOPOLOGICAL GAUGE THEORIES Zeitschrift fur Physik C-Particles & Fields. 66(1-2):315-319, 1995 Mar. Elgradechi AM. GEOMETRIC QUANTIZATION OF AN OSP(1/2) COADJOINT ORBIT Letters in Mathematical Physics. 35(1):13-26, 1995 Sep. Funar L. THETA FUNCTIONS, ROOT SYSTEMS AND 3-MANIFOLD INVARIANTS Journal of Geometry & Physics. 17(3):261-282, 1995 Nov. Fradkin ES. Linetsky VY. BFV QUANTIZATION ON HERMITIAN SYMMETRIC SPACES Nuclear Physics B. 444(3):577-601, 1995 Jun 26. Graciabondia JM. Varilly JC. FROM GEOMETRIC QUANTIZATION TO MOYAL QUANTIZATION Journal of Mathematical Physics. 36(6):2691-2701, 1995 Jun. Kochetov EA. Yukalov VI. SOME NEW MATHEMATICAL METHODS IN QUANTUM OPTICS Laser Physics. 5(1):186-198, 1995 Jan-Feb. Maslov VP. GEOMETRIC QUANTIZATION OF THERMODYNAMICS AND STATISTICAL CORRECTIONS AT CRITICAL POINTS Theoretical & Mathematical Physics. 101(3):1466-1472, 1994 Dec. ------------ 1994 ------------------- Ali ST. Mueller UA. QUANTIZATION OF A CLASSICAL SYSTEM ON A COADJOINT ORBIT OF THE POINCARE GROUP IN 1+1 DIMENSIONS Journal of Mathematical Physics. 35(9):4405-4422, 1994 Sep. Ali ST. Elgradechi AM. Emch GG. MODULAR ALGEBRAS IN GEOMETRIC QUANTIZATION Journal of Mathematical Physics. 35(12):6237-6243, 1994 Dec. Awane A. HOMOGENEOUS K-SYMPLECTIC G-SPACES [French] Journal of Geometry & Physics. 13(2):139-157, 1994 Feb. Brylinski R. Kostant B. MINIMAL REPRESENTATIONS, GEOMETRIC QUANTIZATION, AND UNITARITY Proceedings of the National Academy of Sciences of the United States of America. 91(13):6026-6029, 1994 Jun 21. 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. Bordemann M. Meinrenken E. Schlichenmaier M. TOEPLITZ QUANTIZATION OF KAHLER MANIFOLDS AND GL(N), N-]INFINITY LIMITS Communications in Mathematical Physics. 165(2):281-296, 1994 Oct. Debievre S. Renaud J. QUANTIZATION OF THE NILPOTENT ORBITS IN SO(1,2)ASTERISK AND MASSLESS PARTICLES ON (ANTI)DE SITTER SPACE TIME Journal of Mathematical Physics. 35(8):3775-3793, 1994 Aug. Elgradechi AM. Debievre S. PHASE SPACE QUANTUM MECHANICS ON THE ANTI-DESITTER SPACETIME AND ITS POINCARE CONTRACTION Annals of Physics. 235(1):1-34, 1994 Oct. Fei SM. Guo HY. QUANTUM ALGEBRA AS DEFORMATION SYMMETRY Fradkin ES. Linetsky VY. BFV APPROACH TO GEOMETRIC QUANTIZATION [Review] Nuclear Physics B. 431(3):569-621, 1994 Dec 12. Guo MZ. Qian M. Qian ZH. GENERALIZED PREQUANTIZATION ON PRINCIPAL BUNDLES OVER HOMOGENEOUS SPACES AND ITS APPLICATIONS Journal of Geometry & Physics. 13(2):124-138, 1994 Feb. Hasiewicz Z. Siemion P. Troost W. CHIRAL QUANTIZATION ON A GROUP MANIFOLD International Journal of Modern Physics A. 9(23):4149-4168, 1994 Sep 20. Harnad J. CONSTRAINED HAMILTONIAN SYSTEMS ON LIE GROUPS, MOMENT MAP REDUCTIONS, AND CENTRAL EXTENSIONS Canadian Journal of Physics. 72(7-8):375-388, 1994 Jul-Aug. Mykytiuk IV. Prykarpatsky AK. Andrushkiw RI. Samoilenko VH. GEOMETRIC QUANTIZATION OF NEUMANN-TYPE COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS Journal of Mathematical Physics. 35(4):1532-1548, 1994 Apr. 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. Mykytiuk IV. Prykarpatskyj AK. QUANTIZATION OF COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS - GEOMETRIC ASPECT Nuovo Cimento della Societa Italiana di Fisica B-General Physics Relativity Astronomy & Mathematical Physics & Methods. 109(11):1185-1194, 1994 Nov. Popov AD. FOCK BUNDLES AND QUANTIZATION OF SYSTEMS WITH FIRST CLASS CONSTRAINTS Modern Physics Letters A. 9(37):3467-3479, 1994 Dec 7. Robson MA. GEOMETRIC QUANTIZATION ON HOMOGENEOUS SPACES AND THE MEANING OF INEQUIVALENT QUANTIZATIONS Physics Letters B. 335(3-4):383-387, 1994 Sep 8. Vergne M. GEOMETRIC QUANTIZATION AND MULTIPLICITIES [French] Comptes Rendus de l Academie des Sciences Serie I-Mathematique. 319(4):327-332, 1994 Aug 18. Top of this page