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GEOMETRIC METHODS IN PHYSICS dynamical systems |
Classical mechanics - to be classified later ---------------- 1998 --------------- Pulte H. Jacobis criticism of Lagrange - the changing role of mathematics in the foundations of classical mechanics Historia Mathematica. 25(2):154-184, 1998 May. Hou BH. Yang HB. A group representation of canonical transformation Applied Mathematics and Mechanics-english edition. 19(4):345-350, 1998 Apr. Gogilidze SA. Khvedelidze AM. Mladenov DM. Pavel HP. Hamiltonian reduction of su(2) Dirac-Yang-Mills mechanics Physical Review D. 57(12):7488-7500, 1998 Jun 15. Bodurov TG. Generalized Ehrenfest theorem for nonlinear Schrodinger equations International Journal of Theoretical Physics. 37(4):1299-1306, 1998 Apr. (the motion of the localized psi-field as a whole obeys the laws of classical mechanics) Inoue A. On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral method - an exactly solvable case with odd variable coefficients Tohoku Mathematical Journal. 50(1):91-118, 1998 Mar. (the classical mechanics corresponding to that super Weyl equation) Schomerus H. Periodic orbits near bifurcations of codimension two - classical mechanics, semiclassics and stokes transitions Journal of Physics A-Mathematical & General. 31(18):4167-4196, 1998 May 8. Kleinert H. Nonholonomic mapping principle for classical mechanics in spacetimes with curvature and torsion - new covariant conservation law for energy-momentum tensor Acta Physica Polonica B. 29(4):1033-1045, 1998 Apr. (the geometric basis for the recently-discovered nonholonomic mapping principle) Gutzwiller MC. Resource letter icqm-1 - the interplay between classical and quantum mechanics American Journal of Physics. 66(4):304-324, 1998 Apr. (a guide to the literature that is concerned with the connections between classical and quantum mechanics.) Tveter FT. Deriving the Hamilton equations of motion for a nonconservative system using a variational principle Journal of Mathematical Physics. 39(3):1495-1500, 1998 Mar. Slomczynski W. Zyczkowski K. Mean dynamical entropy of quantum maps on the sphere diverges in the semiclassical limit Physical Review Letters. 80(9):1880-1883, 1998 Mar 2. Strunz WT. Percival IC. Classical mechanics from quantum state diffusion - a phase-space approach Journal of Physics A-Mathematical & General. 31(7):1801-1813, 1998 Feb 20. Dealmeida AMO. The Weyl representation in classical and quantum mechanics [Review] Physics Reports-Review Section of Physics Letters. 295(6):266-342, 1998 Mar. Lima JAS. Moreira JAM. Santos J. PARTICLE-LIKE DESCRIPTION FOR FRW COSMOLOGIES General Relativity & Gravitation. 30(3):425-434, 1998 Mar. (Methods of cm in gr) Child MS. QUANTUM STATES IN A CHAMPAGNE BOTTLE Journal of Physics A-Mathematical & General. 31(2):657-670, 1998 Jan 16. (Bohr-Sommerfeld rule) Dayi OF. Q-DEFORMED STAR PRODUCTS AND MOYAL BRACKETS Journal of Mathematical Physics. 39(1):489-496, 1998 Jan. (q-classical mechanics and q-path integrals are discussed) ---------------- 1997 --------------- Casalbuoni R. INTEGRATION OVER A GENERIC ALGEBRA International Journal of Modern Physics A. 12(32):5803-5826, 1997 Dec 30. (the path-integral formalism) Nottale L. SCALE-RELATIVITY AND QUANTIZATION OF THE UNIVERSE .1. THEORETICAL FRAMEWORK Astronomy & Astrophysics. 327(3):867-889, 1997 Nov. (scale-covariant derivative that transforms classical mechanics into a generalized, quantum-like mechanics.) Bhalla RS. Kapoor AK. Panigrahi PK. QUANTUM HAMILTON-JACOBI FORMALISM AND THE BOUND STATE SPECTRA American Journal of Physics. 65(12):1187-1194, 1997 Dec. Adler VE. Shabat AB. GENERALIZED LEGENDRE TRANSFORMATIONS Theoretical & Mathematical Physics. 112(2):935-948, 1997 Aug. (A general theory of Toda chains) Bosanac SD. RELATIVISTIC CLASSICAL THEORY OF A FREE PARTICLE Journal of Mathematical Physics. 38(8):3895-3907, 1997 Aug. Prezhdo OV. Kisil VV. MIXING QUANTUM AND CLASSICAL MECHANICS Physical Review A. 56(1):162-175, 1997 Jul. Granik A. WHY QUANTUM MECHANICS INDEED Foundations of Physics. 27(4):511-532, 1997 Apr. Bruhn B. FACTORIZATION OF COMPLEX CANONICAL TRANSFORMATIONS Journal of Mathematical Physics. 38(7):3718-3734, 1997 Jul. Yeon KH. Kim DH. Um CI. George TF. Pandey LN. RELATIONS OF CANONICAL AND UNITARY TRANSFORMATIONS FOR A GENERAL TIME-DEPENDENT QUADRATIC HAMILTONIAN SYSTEM Physical Review A. 55(6):4023-4029, 1997 Jun. (canonical transformations in classical mechanics correspond to unitary transformations in quantum mechanics) Boccaletti D. Pucacco G. KILLING EQUATIONS IN CLASSICAL MECHANICS Nuovo Cimento della Societa Italiana di Fisica B-General Physics Relativity Astronomy & Mathematical Physics & Methods. 112(2-3):181-212, 1997 Feb-Mar. Boccaletti D. Dibari M. Cipriani P. Pucacco G. FINSLER GEOMETRY IN CLASSICAL MECHANICS AND IN BIANCHI COSMOLOGICAL MODELS Nuovo Cimento della Societa Italiana di Fisica B 112(2-3):213-224, 1997 Feb-Mar. Lamb WE. THE BORDERLAND BETWEEN QUANTUM AND CLASSICAL MECHANICS Physica Scripta. T70:7-13, 1997. (A derivation of non-rel'tic qm based on classical Newtonian mechanics) Delduc F. Ivanov E. Sokatchev E. THE MASSIVE SPINNING PARTICLE REVISITED Modern Physics Letters A. 12(13):937-947, 1997 Apr 30. Pina E. SOLUTION BY THE SEPARATION METHOD OF THE MOTION OF A RIGID BODY WITH NO FORCES Revista Mexicana de Fisica. 43(2):205-218, 1997 Apr. Klauder JR. COHERENT STATES AND COORDINATE-FREE QUANTIZATION [Review] Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences. 52(1-2):69-75, 1997 Jan-Feb. Lee E. Brunello AF. Farrelly D. COHERENT STATES IN A RYDBERG ATOM - CLASSICAL MECHANICS [Review] Physical Review A. 55(3):2203-2221, 1997 Mar. Bhandari R. POLARIZATION OF LIGHT AND TOPOLOGICAL PHASES [Review] Physics Reports-Review Section of Physics Letters. 281(1):2-64, 1997 Mar. Chiueh TH. INTEGRABILITY AND TOPOLOGY OF THREE-DIMENSIONAL VECTOR FIELDS Chinese Journal of Physics. 35(1):4-12, 1997 Feb. Massa E. Pagani E. A NEW LOOK AT CLASSICAL MECHANICS OF CONSTRAINED SYSTEMS Annales de l Institut Henri Poincare-Physique Theorique. 66(1):1-36, 1997. Landsman NP. POISSON SPACES WITH A TRANSITION PROBABILITY [Review] Reviews in Mathematical Physics. 9(1):29-57, 1997 Jan. ---------------- 1996 --------------- Wilkie J. Brumer P. QUANTUM-CLASSICAL CORRESPONDENCE VIA LIOUVILLE DYNAMICS .1. INTEGRABLE SYSTEMS AND THE CHAOTIC SPECTRAL DECOMPOSITION Physical Review A. 55(1):27-42, 1997 Jan. [+Phys. Rev. A 54, 43 (1996)] Kolovsky AR. QUANTUM COHERENCE, EVOLUTION OF THE WIGNER FUNCTION, AND TRANSITION FROM QUANTUM TO CLASSICAL DYNAMICS FOR A CHAOTIC SYSTEM Chaos. 6(4):534-542, 1996 Dec. Salasbrito AL. Nunezyepez HN. Martinezyromero RP. SUPERINTEGRABILITY IN CLASSICAL MECHANICS - A CONTEMPORARY APPROACH TO BERTRANDS THEOREM International Journal of Modern Physics A. 12(1):271-276, 1997 Jan 10. Grot N. Rovelli C. Tate RS. TIME OF ARRIVAL IN QUANTUM MECHANICS Physical Review A. 54(6):4676-4690, 1996 Dec. Colatto LP. Matheusvalle JL. ON Q-DEFORMED SUPERSYMMETRIC CLASSICAL MECHANICAL MODELS Journal of Mathematical Physics. 37(12):6121-6129, 1996 Dec. Depolavieja GG. NONSTATISTICAL QUANTUM-CLASSICAL CORRESPONDENCE IN PHASE SPACE Foundations of Physics Letters. 9(5):411-424, 1996 Oct. Pavlotsky IP. Strianese M. IRREVERSIBILITY IN CLASSICAL MECHANICS AS A CONSEQUENCE OF POINCARE GROUP International Journal of Modern Physics B. 10(21):2675-2685, 1996 Sep 30. Mukunda N. PLANETARY MOTIONS AND THE BIRTH OF CLASSICAL MECHANICS Current Science. 71(7):527-532, 1996 Oct 10. Savitt SF. THE DIRECTION OF TIME British Journal for the Philosophy of Science. 47(3):347-370, 1996 Sep. Gray CG. Karl G. Novikov VA. DIRECT USE OF VARIATIONAL PRINCIPLES AS AN APPROXIMATION TECHNIQUE IN CLASSICAL MECHANICS American Journal of Physics. 64(9):1177-1184, 1996 Sep. Depolavieja GG. A CAUSAL QUANTUM THEORY IN PHASE SPACE Physics Letters A. 220(6):303-314, 1996 Sep 16. Albright JR. PHYSICS - WHAT DOES ONE NEED TO KNOW Zygon. 31(3):487-496, 1996 Sep. Santana AE. Khanna FC. Chu H. Chang YC. THERMAL LIE GROUPS, CLASSICAL MECHANICS, AND THERMOFIELD DYNAMICS Annals of Physics. 249(2):481-498, 1996 Aug 1. Gaidenko PP. SOURCES OF CLASSICAL MECHANICS [Russian] Voprosy Filosofii. (5):80-89, 1996. Gavrilov SP. Gitman DM. PROPER TIME AND PATH INTEGRAL REPRESENTATIONS FOR THE COMMUTATION FUNCTION Journal of Mathematical Physics. 37(7):3118-3130, 1996 Jul. Renaud J. THE CONTRACTION OF THE SU(1,1) DISCRETE SERIES OF REPRESENTATIONS BY MEANS OF COHERENT STATES Journal of Mathematical Physics. 37(7):3168-3179, 1996 Jul. Schroer CG. GEOMETRIC TEMPUS FOR A CLASS OF ERGODIC CLASSICAL SYSTEMS Journal of Physics A-Mathematical & General. 29(12):3289-3297, 1996 Jun 21. Ali MK. QUANTIZATION OF THE DOUBLE PENDULUM Canadian Journal of Physics. 74(5-6):255-262, 1996 May-Jun. Petrosky T. Prigogine I. POINCARE RESONANCES AND THE EXTENSION OF CLASSICAL DYNAMICS Chaos Solitons & Fractals. 7(4):441-497, 1996 Apr. Deleon M. Dediego DM. SYMMETRIES AND CONSTANTS OF THE MOTION FOR SINGULAR LAGRANGIAN SYSTEMS International Journal of Theoretical Physics. 35(5):975-1011, 1996 May. Lopuszanski J. A NO GO THEOREM RELATED TO EXTENSIONS OF RELATIVISTIC SYMMETRY GROUP Acta Physica Polonica B. 27(4):815-825, 1996 Apr. Robinett RW. VISUALIZING THE SOLUTIONS FOR THE CIRCULAR INFINITE WELL IN QUANTUM AND CLASSICAL MECHANICS American Journal of Physics. 64(4):440-446, 1996 Apr. Schmidt HJ. CLASSICAL MECHANICS WITH LAPSE Journal of Mathematical Physics. 37(3):1244-1252, 1996 Mar. Takada S. MULTIDIMENSIONAL TUNNELING IN TERMS OF COMPLEX CLASSICAL MECHANICS - WAVE FUNCTIONS, ENERGY SPLITTINGS, AND DECAY RATES IN NONINTEGRABLE SYSTEMS Journal of Chemical Physics. 104(10):3742-3759, 1996 Mar 8. Chadzitaskos G. Tolar J. FINITE-DIMENSIONAL ASTERISK-PRODUCT AND MATRIX ALGEBRAS Czechoslovak Journal of Physics. 46(2-3):151-154, 1996 Feb-Mar. Linden N. Macfarlane AJ. Vanholten JW. PARTICLE MOTION IN A YANG-MILLS FIELD - WONGS EQUATIONS AND SPIN-1/2 ANALOGUES Czechoslovak Journal of Physics. 46(2-3):209-215, 1996 Feb-Mar. Riewe F. NONCONSERVATIVE LAGRANGIAN AND HAMILTONIAN MECHANICS Physical Review A. 53(2):1890-1899, 1996 Feb. Hojman SA. THE CONSTRUCTION OF A POISSON STRUCTURE OUT OF A SYMMETRY AND A CONSERVATION LAW OF A DYNAMICAL SYSTEM Journal of Physics A-Mathematical & General. 29(3):667-674, 1996 Feb 7. Mendes RV. QUANTUM MECHANICS AND NON-COMMUTATIVE SPACE-TIME Physics Letters A. 210(4-5):232-240, 1996 Jan 15. ---------------- 1995 --------------- Lyndenbell D. Katz J. CLASSICAL MECHANICS WITHOUT ABSOLUTE SPACE Physical Review D. 52(12):7322-7324, 1995 Dec 15. Vanholten JW. PROPAGATORS AND PATH INTEGRALS Nuclear Physics B. 457(1-2):375-407, 1995 Dec 18. Pavon M. A NEW FORMULATION OF STOCHASTIC MECHANICS Physics Letters A. 209(3-4):143-149, 1995 Dec 18. Pavon M. HAMILTONS PRINCIPLE IN STOCHASTIC MECHANICS Journal of Mathematical Physics. 36(12):6774-6800, 1995 Dec. Corben HC. THE QUANTIZATION OF RELATIVISTIC CLASSICAL MECHANICS Physics Essays. 8(3):321-329, 1995 Sep. Sonego S. IS THERE A SPACETIME GEOMETRY Physics Letters A. 208(1-2):1-7, 1995 Nov 20. Clough S. TRAJECTORY LABEL QUANTUM MECHANICS Europhysics Letters. 32(2):95-99, 1995 Oct 10. Echeverriaenriquez A. Munozlecanda MC. Romanroy N. NON-STANDARD CONNECTIONS IN CLASSICAL MECHANICS Journal of Physics A-Mathematical & General. 28(19):5553-5567, 1995 Oct 7. Ibort A. Marinsolano J. COISOTROPIC REGULARIZATION OF SINGULAR LAGRANGIANS Journal of Mathematical Physics. 36(10):5522-5539, 1995 Oct. Callender C. THE METAPHYSICS OF TIME REVERSAL - HUTCHISON ON CLASSICAL MECHANICS British Journal for the Philosophy of Science. 46(3):331-340, 1995 Sep. Mccauley JL. INTEGRABILITY OF FLOWS IN PHASE SPACE Chaos Solitons & Fractals. 5(8):1493-1500, 1995 Aug. Mittelstaedt P. CONSTITUTION OF OBJECTS IN CLASSICAL MECHANICS AND IN QUANTUM MECHANICS International Journal of Theoretical Physics. 34(8):1615-1626, 1995 Aug. Elbaz C. CLASSICAL MECHANICS OF AN EXTENDED MATERIAL PARTICLE Physics Letters A. 204(3-4):229-235, 1995 Aug 21. Han D. Kim YS. Noz ME. O(3,3)-LIKE SYMMETRIES OF COUPLED HARMONIC OSCILLATORS Journal of Mathematical Physics. 36(8):3940-3954, 1995 Aug. Deleon M. Dediego DM. SYMMETRIES AND CONSTANTS OF THE MOTION FOR HIGHER-ORDER LAGRANGIAN SYSTEMS Journal of Mathematical Physics. 36(8):4138-4161, 1995 Aug. Hac M. Osinski J. FINITE ELEMENT FORMULATION OF RIGID BODY MOTION IN DYNAMIC ANALYSIS OF MECHANISMS Computers & Structures. 57(2):213-217, 1995 Oct 17. Hutchison K. TEMPORAL ASYMMETRY IN CLASSICAL MECHANICS British Journal for the Philosophy of Science. 46(2):219-234, 1995 Jun. Petras M. THE SO(3,3) GROUP AS A COMMON BASIS FOR DIRACS AND PROCAS EQUATIONS Czechoslovak Journal of Physics. 45(6):455-464, 1995 Jun. Werner RF. Wolff MPH. CLASSICAL MECHANICS AS QUANTUM MECHANICS WITH INFINITESIMAL-H Physics Letters A. 202(2-3):155-159, 1995 Jun 19. Horz M. Haupt P. ON THE PRINCIPLE OF FERMAT IN ELASTODYNAMICS Continuum Mechanics & Thermodynamics. 7(2):219-230, 1995 May. Kalashnikov VV. ON GENERICITY OF INTEGRABLE HAMILTONIAN SYSTEMS OF BOTT TYPE Russian Academy of Sciences Sbornik Mathematics. 81(1):87-99, 1995. Evrard G. MINIMAL INFORMATION IN VELOCITY SPACE Physics Letters A. 201(2-3):95-102, 1995 May 22. Morando P. Pasquero S. THE SYMMETRY IN THE STRUCTURE OF DYNAMICAL AND ADJOINT SYMMETRIES OF SECOND-ORDER DIFFERENTIAL EQUATIONS Journal of Physics A-Mathematical & General. 28(7):1943-1955, 1995 Apr 7. Kuzenko SM. Lyakhovich SL. Segal AY. A GEOMETRIC MODEL OF THE ARBITRARY SPIN MASSIVE PARTICLE International Journal of Modern Physics A. 10(10):1529-1552, 1995 Apr 20. Jaroszkiewicz G. HILBERT SPACE CONDITION ON CONSERVED QUANTITIES IN SECOND-ORDER DISCRETE TIME CLASSICAL MECHANICS Journal of Physics A-Mathematical & General. 28(6):L 197-L 199, 1995 Mar 23. Sundaram B. Milonni PW. CHAOS AND LOW-ORDER CORRECTIONS TO CLASSICAL MECHANICS OR GEOMETRICAL OPTICS Physical Review A. 51(3 Part A):1971-1982, 1995 Mar. Arsenovic D. Barut AO. Maric Z. Bozic M. SEMI-CLASSICAL QUANTIZATION OF THE MAGNETIC TOP Nuovo Cimento della Societa Italiana di Fisica B. 110(2):163-175, 1995 Feb. (see also Barut, at al.: A nn. Phys. (N.Y.), 214,(1992) 53) Arsenovic D. Barut AO. Bozic M. THE CRITICAL TURNING POINTS IN THE SOLUTIONS OF THE MAGNETIC-TOP EQUATIONS OF MOTION Nuovo Cimento della Societa Italiana di Fisica B. 110(2):177-188, 1995 Feb. Varma RK. TOPOLOGICAL MANIFESTATIONS IN CLASSICAL MECHANICS - DISCRETE ALLOWED AND FORBIDDEN STATES OF MOTION Modern Physics Letters A. 9(39):3653-3661, 1994 Dec 21. Kobayashi T. ANALYSIS OF CLASSICAL SOLUTIONS IN SCHROEDINGER EQUATIONS BASED ON THE IDEA OF NON-STANDARD ANALYSIS AND HARMONIC-OSCILLATOR MOTIONS Nuovo Cimento della Societa Italiana di Fisica B. 110(1):61-80, 1995 Jan. Top of this page