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Professor Isham

Publications


Journal Articles

  • Doring A, Isham CJ, A topos foundation for theories of physics: IV. Categories of systems, J MATH PHYS, 2008, Vol:49, ISSN:0022-2488(doi)
  • Doring A, Isham CJ, A topos foundation for theories of physics: III. The representation of physical quantities with arrows delta(o)(A) : (Sigma)under-bar ->(R->=)under-bar, J MATH PHYS, 2008, Vol:49, ISSN:0022-2488(doi)
  • Doring A, Isham CJ, A topos foundation for theories of physics: II. Daseinisation and the liberation of quantum theory, J MATH PHYS, 2008, Vol:49, ISSN:0022-2488(doi)
  • Doring A, Isham CJ, A topos foundation for theories of physics: I. Formal languages for physics, J MATH PHYS, 2008, Vol:49, ISSN:0022-2488(doi)
  • Isham,C.J. , A new approach to quantising space-time: I. Quantising on a general category, Advances in Theoretical and Mathematical Physics, 2003, Vol:7, Pages:331-367, ISSN:1095-0761
  • Isham,C.J. , A new approach to quantising systems: II. Quantising on a category of sets, Advances in Theoretical and Mathematical Physics, 2004, Vol:7, Pages:807-829, ISSN:1095-0761
  • Isham,C. , A new approach to quantising systems: III. State vectors as functions on arrows, Advances in Theoretical and Mathematical Physics, 2003, Vol:8, Pages:797-811, ISSN:1095-0761(publication )
  • ISHAM CJ, SALAM A, STRATHDE.J , SL6 C GAUGE INVARIANCE OF EINSTEIN-LIKE LAGRANGIANS, LETT NUOVO CIMENTO, 1972, Vol:5, Pages:969-972, ISSN:0024-1318
  • ISHAM CJ, SALAM A, STRATHDE.J , INFLUENCE OF F GRAVITY ON GRAVITATIONAL COLLAPSE, NATURE-PHYS SCI, 1973, Vol:244, Pages:82-84
  • ISHAM CJ, SALAM A, STRATHDE.J , 2+ NONET AS GAUGE PARTICLES FOR SL(6,C) SYMMETRY, PHYS REV D, 1973, Vol:8, Pages:2600-2609, ISSN:0556-2821
  • ISHAM CJ, SALAM A, STRATHDE.J , QUANTUM GRAVITY AMBIGUITY-FREE, PHYS LETT B, 1973, Vol:B 46, Pages:407-411, ISSN:0370-2693
  • ISHAM CJ, SALAM A, STRATHDE.J , F-G VERSION OF SL(6,C) GAUGE THEORY, PHYS REV D, 1974, Vol:9, Pages:1702-1705, ISSN:0556-2821
  • ISHAM CJ, TOPOLOGICAL CURRENTS FOR ARBITRARY CHIRAL GROUPS IN 3 SPACE DIMENSIONS, J PHYS A-MATH GEN, 1977, Vol:10, Pages:1397-1407, ISSN:0305-4470
  • DUFF MJ, ISHAM CJ, FORM-FACTOR INTERPRETATION OF KINK SOLUTIONS TO NONLINEAR OMICRON MODEL, PHYS REV D, 1977, Vol:16, Pages:3047-3059, ISSN:0556-2821
  • ISHAM CJ, TWISTED QUANTUM FIELDS IN A CURVED SPACE-TIME, P ROY SOC LOND A MAT, 1978, Vol:362, Pages:383-404, ISSN:1364-5021
  • ISHAM CJ, STOREY D, EXACT SPHERICALLY SYMMETRIC CLASSICAL SOLUTIONS FOR F-G THEORY OF GRAVITY, PHYS REV D, 1978, Vol:18, Pages:1047-1052, ISSN:0556-2821
  • AVIS SJ, ISHAM CJ, VACUUM SOLUTIONS FOR A TWISTED SCALAR FIELD, P ROY SOC LOND A MAT, 1978, Vol:363, Pages:581-596, ISSN:1364-5021
  • AVIS SJ, ISHAM CJ, STOREY D, QUANTUM FIELD-THEORY IN ANTI-DE SITTER SPACE-TIME, PHYS REV D, 1978, Vol:18, Pages:3565-3576, ISSN:0556-2821
  • ISHAM CJ, SPINOR FIELDS IN FOUR DIMENSIONAL SPACE-TIME, P ROY SOC LOND A MAT, 1978, Vol:364, Pages:591-599, ISSN:1364-5021
  • DEWITT BS, HART CF, ISHAM CJ, TOPOLOGY AND QUANTUM FIELD-THEORY, PHYSICA A, 1979, Vol:96, Pages:197-211, ISSN:0378-4371
  • DUFF MJ, ISHAM CJ, SELF-DUALITY, HELICITY, AND SUPERSYMMETRY - SCATTERING OF LIGHT BY LIGHT, PHYS LETT B, 1979, Vol:86, Pages:157-160, ISSN:0370-2693
  • AVIS SJ, ISHAM CJ, LORENTZ GAUGE INVARIANT VACUUM FUNCTIONALS FOR QUANTIZED SPINOR FIELDS IN NON-SIMPLY CONNECTED SPACE-TIMES, NUCL PHYS B, 1979, Vol:156, Pages:441-455, ISSN:0550-3213
  • ISHAM CJ, QUANTUM GRAVITY, P ROY SOC LOND A MAT, 1979, Vol:368, Pages:33-36, ISSN:1364-5021
  • DUFF MJ, ISHAM CJ, SELF-DUALITY, HELICITY AND COHERENT STATES IN NON-ABELIAN GAUGE-THEORIES, NUCL PHYS B, 1980, Vol:162, Pages:271-284, ISSN:0550-3213
  • AVIS SJ, ISHAM CJ, GENERALIZED SPIN STRUCTURES ON 4 DIMENSIONAL SPACE-TIMES, COMMUN MATH PHYS, 1980, Vol:72, Pages:103-118, ISSN:0010-3616
  • DESER S, DUFF MJ, ISHAM CJ, GRAVITATIONALLY INDUCED CP EFFECTS, PHYS LETT B, 1980, Vol:93, Pages:419-423, ISSN:0370-2693
  • CHOCKALINGHAM A, ISHAM CJ, TWISTED SUPERMULTIPLETS, J PHYS A-MATH GEN, 1980, Vol:13, Pages:2723-2733, ISSN:0305-4470
  • ISHAM CJ, SPONTANEOUS SYMMETRY-BREAKING AND TOPOLOGICAL CHARGE, PHYS LETT B, 1981, Vol:102, Pages:251-256, ISSN:0370-2693
  • ISHAM CJ, KUNSTATTER G, YANG-MILLS CANONICAL VACUUM-STRUCTURE IN A GENERAL 3-SPACE, PHYS LETT B, 1981, Vol:102, Pages:417-420, ISSN:0370-2693
  • ISHAM CJ, SPACE-TIME TOPOLOGY AND SPONTANEOUS SYMMETRY-BREAKING, J PHYS A-MATH GEN, 1981, Vol:14, Pages:2943-2956, ISSN:0305-4470
  • ISHAM CJ, TOPOLOGICAL THETA-SECTORS IN CANONICALLY QUANTIZED GRAVITY, PHYS LETT B, 1981, Vol:106, Pages:188-192, ISSN:0370-2693
  • ISHAM CJ, POPE CN, A SPINOR FIELD REPRESENTATION OF THE STIEFEL-WHITNEY CLASS, PHYS LETT B, 1982, Vol:114, Pages:137-140, ISSN:0370-2693
  • ISHAM CJ, KUNSTATTER G, SPATIAL TOPOLOGY AND YANG-MILLS VACUA, J MATH PHYS, 1982, Vol:23, Pages:1668-1677, ISSN:0022-2488
  • ISHAM CJ, KAKAS AC, A GROUP THEORETICAL APPROACH TO THE CANONICAL QUANTIZATION OF GRAVITY .2. UNITARY REPRESENTATIONS OF THE CANONICAL GROUP, CLASSICAL QUANT GRAV, 1984, Vol:1, Pages:633-650, ISSN:0264-9381
  • ISHAM CJ, KAKAS AC, A GROUP THEORETICAL APPROACH TO THE CANONICAL QUANTIZATION OF GRAVITY .1. CONSTRUCTION OF THE CANONICAL GROUP, CLASSICAL QUANT GRAV, 1984, Vol:1, Pages:621-632, ISSN:0264-9381
  • ISHAM CJ, KUCHAR KV, REPRESENTATIONS OF SPACETIME DIFFEOMORPHISMS .2. CANONICAL GEOMETRODYNAMICS, ANN PHYS-NEW YORK, 1985, Vol:164, Pages:316-333, ISSN:0003-4916
  • ISHAM CJ, KUCHAR KV, REPRESENTATIONS OF SPACETIME DIFFEOMORPHISMS .1. CANONICAL PARAMETRIZED FIELD-THEORIES, ANN PHYS-NEW YORK, 1985, Vol:164, Pages:288-315, ISSN:0003-4916
  • ISHAM CJ, LINDEN N, GROUP THEORETIC QUANTIZATION OF STRINGS ON TORI, CLASSICAL QUANT GRAV, 1988, Vol:5, Pages:71-93, ISSN:0264-9381
  • ISHAM CJ, POPE CN, NOWHERE-VANISHING SPINORS AND TOPOLOGICAL OBSTRUCTIONS TO THE EQUIVALENCE OF THE NSR AND GS SUPERSTRINGS, CLASSICAL QUANT GRAV, 1988, Vol:5, Pages:257-274, ISSN:0264-9381
  • ISHAM CJ, POPE CN, WARNER NP, NOWHERE-VANISHING SPINORS AND TRIALITY ROTATIONS IN 8-MANIFOLDS, CLASSICAL QUANT GRAV, 1988, Vol:5, Pages:1297-1311, ISSN:0264-9381
  • ISHAM CJ, QUANTUM TOPOLOGY AND QUANTIZATION ON THE LATTICE OF TOPOLOGIES, CLASSICAL QUANT GRAV, 1989, Vol:6, Pages:1509-1534, ISSN:0264-9381
  • ISHAM CJ, KLAUDER JR, AFFINE FIELDS AND OPERATOR REPRESENTATIONS FOR THE NONLINEAR-SIGMA-MODEL, J MATH PHYS, 1990, Vol:31, Pages:699-711, ISSN:0022-2488
  • ISHAM CJ, KUBYSHIN Y, RENTELN P, QUANTUM NORM THEORY AND THE QUANTIZATION OF METRIC TOPOLOGY, CLASSICAL QUANT GRAV, 1990, Vol:7, Pages:1053-1074, ISSN:0264-9381
  • ISHAM CJ, KLAUDER JR, COHERENT STATES FOR N-DIMENSIONAL EUCLIDEAN GROUPS E(N) AND THEIR APPLICATION, J MATH PHYS, 1991, Vol:32, Pages:607-620, ISSN:0022-2488
  • ASHTEKAR A, ISHAM CJ, INEQUIVALENT OBSERVABLE ALGEBRAS - ANOTHER AMBIGUITY IN FIELD QUANTIZATION, PHYS LETT B, 1992, Vol:274, Pages:393-398, ISSN:0370-2693
  • ASHTEKAR A, ISHAM CJ, REPRESENTATIONS OF THE HOLONOMY ALGEBRAS OF GRAVITY AND NON-ABELIAN GAUGE-THEORIES, CLASSICAL QUANT GRAV, 1992, Vol:9, Pages:1433-1467, ISSN:0264-9381
  • ISHAM CJ, QUANTUM LOGIC AND THE HISTORIES APPROACH TO QUANTUM-THEORY, J MATH PHYS, 1994, Vol:35, Pages:2157-2185, ISSN:0022-2488
  • ISHAM CJ, LINDEN N, QUANTUM TEMPORAL LOGIC AND DECOHERENCE FUNCTIONALS IN THE HISTORIES APPROACH TO GENERALIZED QUANTUM-THEORY, J MATH PHYS, 1994, Vol:35, Pages:5452-5476, ISSN:0022-2488
  • ISHAM CJ, LINDEN N, SCHRECKENBERG S, THE CLASSIFICATION OF DECOHERENCE FUNCTIONALS - AN ANALOG OF GLEASONS THEOREM, J MATH PHYS, 1994, Vol:35, Pages:6360-6370, ISSN:0022-2488
  • ISHAM CJ, LINDEN N, CONTINUOUS HISTORIES AND THE HISTORY GROUP IN GENERALIZED QUANTUM-THEORY, J MATH PHYS, 1995, Vol:36, Pages:5392-5408, ISSN:0022-2488
  • Isham CJ, A topos perspective on state-vector reduction, INT J THEOR PHYS, 2006, Vol:45, Pages:1027-1053, ISSN:0020-7748(doi)
  • Isham CJ, Is it true; or is it false; or somewhere in between? The logic of quantum theory, CONTEMP PHYS, 2005, Vol:46, Pages:207-219, ISSN:0010-7514(doi)
  • Isham CJ, Quantising on a category, FOUND PHYS, 2005, Vol:35, Pages:271-297, ISSN:0015-9018(doi)
  • Isham CJ, Savvidou K, The foliation operator in history quantum field theory, J MATH PHYS, 2002, Vol:43, Pages:5493-5513, ISSN:0022-2488(doi)
  • Butterfield J, Isham CJ, Topos perspective on the Kochen-Specker theorem: IV. Interval valuations, INT J THEOR PHYS, 2002, Vol:41, Pages:613-639, ISSN:0020-7748
  • Hamilton J, Isham CJ, Butterfield J, Topos perspective on the Kochen-Specker theorem: III. Von Neumann algebras as the base category, INT J THEOR PHYS, 2000, Vol:39, Pages:1413-1436, ISSN:0020-7748
  • Butterfield J, Isham CJ, A topos perspective on the Kochen-Specker theorem II. Conceptual aspects and classical analogues, INT J THEOR PHYS, 1999, Vol:38, Pages:827-859, ISSN:0020-7748
  • Isham CJ, Butterfield J, Topos perspective on the Kochen-Specker theorem: I. Quantum states as generalized valuations, INT J THEOR PHYS, 1998, Vol:37, Pages:2669-2733, ISSN:0020-7748
  • Isham CJ, Linden N, Savvidou K, et al, Continuous time and consistent histories, J MATH PHYS, 1998, Vol:39, Pages:1818-1834, ISSN:0022-2488
  • Isham CJ, Linden N, Information entropy and the space of decoherence functions in generalized quantum theory, PHYS REV A, 1997, Vol:55, Pages:4030-4040, ISSN:1050-2947
  • Isham CJ, Topos theory and consistent histories: The internal logic of the set of all consistent sets, INT J THEOR PHYS, 1997, Vol:36, Pages:785-814, ISSN:0020-7748
  • Hajicek P, Isham CJ, Perennials and the group-theoretical quantization of a parametrized scalar field on a curved background, J MATH PHYS, 1996, Vol:37, Pages:3522-3538, ISSN:0022-2488
  • Hajicek P, Isham CJ, The symplectic geometry of a parametrized scalar field on a curved background, J MATH PHYS, 1996, Vol:37, Pages:3505-3521, ISSN:0022-2488

    Chapters

    • Isham, CJ , Some reflections on the status of conventional quantum theory when applied to qunatum gravity, ln:The future of theoretical physics and cosmology: celebrating Stephen Hawking's 60th birthday, Editor(s): Gibbons, Cambridge, Cambridge University Press, 2001, Pages: 384-408, ISBN:9780521820813
    • Butterfield,J. , Isham,C. , Spacetime and the philosophical challenge of quantum gravity, ln:Physics meets philosophy at the Planck scale: contemporary theories in quantum gravity, Editor(s): Callender, Huggett, Cambridge, Cambridge University Press, 2001, Pages: 33-89, ISBN:9780521662802

    Conference

    • Isham CJ, A topos perspective on state-vector reduction, International Theoretical Physics Conference on Iconoclastic Approaches to Quantum Graviry (Glafka-2004), 2006, Pages:1529-1556
    • Isham CJ, Butterfield J, Some possible roles for topos theory in quantum theory and quantum gravity, 2000, Pages:1707-1735, ISSN:0015-9018
    • Isham CJ, The challenge of quantum gravity, 1996, Pages:A5-A9, ISSN:0264-9381

    Other