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316

SUBJECT INDEX

(numbers refer to section numbers)

A.nti-de Sitter space, 6.2

A.xial gauge, 8.2

Barvinsky boundary conditions, 6.5, 9.5

Becchi-Rouet-Stora-Tyutin symmetry, 4.4

Bubbles (in Euclidean quantum gravity), 9.10

Casimir effect, 1.3, 4.5

Coincidence limits, 2.4

Complex powers of elliptic operators, 5.1

Conformal anomaly, 5.4

Coulomb gauge, 7.8

Dirichlet boundary conditions, 6.1

Effective action, 3.1-3.3

Electrostatics, 1.2

Eta-function, 5.2, 5.3

Euclidean Maxwell theory, 7.1-7.12

Faddeev-Popov formalism, 4.2,4.3

Feynman propagator, 2.1, 2.3, 4.3

317

Subject Index

Gauge-averaging functional(s), 4.3, 7.5, 7.9, 7.11

Gauge-invariant boundary conditions, 6.4, 6.5, 9.5

General structure of ((8),5.7

Geometric form of heat-kernel asymptotics, 8.4

Gravitons, 8.3, 9.2-9.5

Hartle-Hawking proposal, 1.4

Heat kernel, 5.4

K-representation, app. LA

Laplace transform, 5.5

Local boundary conditions, 6.2

Lorentz gauge, 7.7

Luckock-Moss-Poletti boundary conditions, 8.4, 9.3, 9.4

Manifold with boundary, 1.1

Mixed boundary conditions, 6.4, 6.5, 8.4, 9.3-9.5, 9.7

Moss algorithm, 5.6

Neumann boundary conditions, 6.1

Non-covariant gauge, 7.6

One-loop divergence, 5.4

Rarita-Schwinger potentials, 8.1

318

Subject Index

Relativistic gauge conditions, 7.6, 7.7, 7.11

Robin boundary conditions, 6.1, 9.7

Schwinger formalism, 2.2

Schwinger-DeWitt asymptotic expansion, 2.3

Self-adjointness, 9.9

Simple supergravity, 8.1

Simply connected four-manifolds, 9.10

Singularity theorems, 1.4

Spectral boundary conditions, 6.3, 8.2, 8.5

Tunnelling wave function, 1.4

Vilkovisky effective action, 3.2

Ward-Takahashi identity, 4.4

Wave function of the universe, 1.4

Wheeler-DeWitt equation, 1.4

Zeta-function, 5.2, 5.3

319

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24. E.I. Bitsakisand C.A. Nicolaides (eds.): The Concept of Probability. Proceedings of the Delphi Conference (Delphi, Greece, 1987). 1989 ISBN 90-277-2679-5

25. A. van der Merwe, F. Selleri and G. Tarozzi (eds.): Microphysical Reality and Quantum Formalism, Vol. 1. Proceedings of the International Conference (Urbino, Italy, 1985). 1988 ISBN 90-277-2683-3

26. A. van der Merwe, F. Selleri and G. Tarozzi (eds.): Microphysical Reality and Quantum Formalism, Vol. 2. Proceedings of the International Conference (Urbino, Italy, 1985). 1988 ISBN 90-277-2684-1

27. I.D. Novikov and V.P. Frolov: Physics of Black Holes. 1989 ISBN 90-277-2685-X 28. G. Tarozzi and A. van der Merwe (eds.): The Nature of Quantum Paradoxes. Italian

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30. H. Mark and L. Wood (eds.): Energy in Physics, War and Peace. A Festschrift celebrating Edward Teller's 80th Birthday. 1988 ISBN 90-277-2775-9

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32. G.J. Erickson and C.R. Smith (eds.): Maximum-Entropy and Bayesian Methods in Science and Engineering. Vol. II: Applications. 1988 ISBN 90-277-2794-5

33. M.E. Noz and Y.S. Kim (eds.): Special Relativity and Quantum Theory. A Collection of Papers on the Poincare Group. 1988 ISBN 90-277-2799-6

34. I.Yu. Kobzarev and Yu.I. Manin: Elementary Particles. Mathematics, Physics and Philosophy. 1989 ISBN 0-7923-0098-X

35. F. Selleri: Quantum Paradoxes and Physical Reality. 1990 ISBN 0-7923-0253-2 36. J. Skilling (ed.): Maximum-Entropy and Bayesian Methods. Proceedings of the 8th

International Workshop (Cambridge, UK, 1988). 1989 ISBN 0-7923-0224-9 37. M. Kafatos (ed.): Bell's Theorem, Quantum Theory and Conceptions of the Universe.

1989 ISBN 0-7923-0496-9 38. Yu.A. Izyumov and V.N. Syromyatnikov: Phase Transitions and Crystal Symmetry.

1990 ISBN 0-7923-0542-6 39. P.F. Fougere (ed.): Maximum-Entropy and Bayesian Methods. Proceedings of the 9th

International Workshop (Dartmouth, Massachusetts, USA, 1989). 1990 ISBN 0-7923-0928-6

40. L. de Broglie: Heisenberg's Uncertainties and the Probabilistic Interpretation of Wave Mechanics. With Critical Notes of the Author. 1990 ISBN 0-7923-0929-4

41. W.T. Grandy, Jr.: Relativistic Quantum Mechanics of Leptons and Fields. 1991 ISBN 0-7923-1049-7

42. Yu.L. Klimontovich: Turbulent Motion and the Structure of Chaos. A New Approach to the Statistical Theory of Open Systems. 1991 ISBN 0-7923-1114-0

Fundamental Theories of Physics

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in Mathematical Physics. 1992 ISBN 0-7923-1623-1 48. E. PrugoveCki: Quantum Geometry. A Framework for Quantum General Relativity.

1992 ISBN 0-7923-1640-1 49. M.H. Mac Gregor: The Enigmatic Electron. 1992 ISBN 0-7923-1982-6 50. C.R. Smith, G.J. Erickson and P.O. Neudorfer (eds.): Maximum Entropy and Bayesian

Methods. Proceedings of the 11th International Workshop (Seattle, 1991). 1993 ISBN 0-7923-2031-X

51. D.J. Hoekzema: The Quantum Labyrinth. 1993 ISBN 0-7923-2066-2 52. Z. Oziewicz, B. Jancewicz and A. Borowiec (eds.): Spinors, Twistors, Clifford Algebras

and Quantum Deformations. Proceedings of the Second Max Born Symposium (Wroclaw, Poland, 1992). 1993 ISBN 0-7923-2251-7

53. A. Mohammad-Djafari and G. Demoment (eds.): Maximum Entropy and Bayesian Methods. Proceedings of the 12th International Workshop (paris, France, 1992). 1993

ISBN 0-7923-2280-0 54. M. Riesz: Clifford Numbers and Spinors with Riesz' Private Lectures to E. Folke

Bolinder and a Historical Review by Pertti Lounesto. E.F. Bolinder and P. Lounesto (eds.).1993 ISBN 0-7923-2299-1

55. F. Brackx, R. Delanghe and H. Serras (eds.): Clifford Algebras and their Applications in Mathematical Physics. Proceedings of the Third Conference (Deinze, 1993) 1993

ISBN 0-7923-2347-5 56. J.R Fanchi: Parametrized Relativistic Quantum Theory. 1993 ISBN 0-7923-2376-9 57. A. Peres: Quantum Theory: Concepts and Methods. 1993 ISBN 0-7923-2549-4 58. P.L. Antonelli, RS. Ingarden and M. Matsumoto: The Theory of Sprays and Finsler

Spaces with Applications in Physics and Biology. 1993 ISBN 0-7923-2577-X 59. R. Miron and M. Anastasiei: The Geometry of Lagrange Spaces: Theory and Applica-

tions.1994 ISBN 0-7923-2591-5 60. G. Adomian: Solving Frontier Problems of Physics: The Decomposition Method. 1994

ISBN 0-7923-2644-X 61 B.S. Kerner and V.V. Osipov: Autosolitons. A New Approach to Problems of Self-

Organization and Turbulence. 1994 ISBN 0-7923-2816-7 62. G.R. Heidbreder (ed.): Maximum Entropy and Bayesian Methods. Proceedings of the

13th International Workshop (Santa Barbara, USA, 1993) 1996 ISBN 0-7923-2851-5 63. J. Penna, Z. Hradil and B. Jureo: Quantum Optics and Fundamentals of Physics. 1994

ISBN 0-7923-3000-5

Fundamental Theories of Physics

64. M. Evans and J.-P. Vigier: The Enigmatic Photon. Volume 1: The Field B(3). 1994 ISBN 0-7923-3049-8

65. C.K. Raju: Time: Towards a Constistent Theory. 1994 ISBN 0-7923-3103-6 66. A.K.T. Assis: Weber's Electrodynamics. 1994 ISBN 0-7923-3137-0 67. Yu. L. Klimontovich: Statistical Theory of Open Systems. Volume 1: A Unified

Approach to Kinetic Description of Processes in Active Systems. 1995 ISBN 0-7923-3199-0; Pb: ISBN 0-7923-3242-3

68. M. Evans and J.-P. Vigier: The Enigmatic Photon. Volume 2: Non-Abelian Electro-dynamics. 1995 ISBN 0-7923-3288-1

69. G. Esposito: Complex General Relativity. 1995 ISBN 0-7923-3340-3 70. J: Skilling and S. Sibisi (eds.): Maximum Entropy and Bayesian Methods. Proceedings

of the Fourteenth International Workshop on Maximum Entropy and Bayesian Methods. 1996 ISBN 0-7923-3452-3

71. C. Garola and A. Rossi (eds.): The Foundations of Quantum Mechanics - Historical Analysis and Open Questions. 1995 ISBN 0-7923-3480-9

72. A. Peres: Quantum Theory: Concepts and Methods. 1995 (see for hardback edition, Vol. 57) ISBN Pb 0-7923-3632-1

73. M. Ferrero and A. van der Merwe (eds.): Fundamental Problems in Quantum Physics. 1995 ISBN 0-7923-3670-4

74. F.E. Schroeck, Jr.: Quantum Mechanics on Phase Space. 1996 ISBN 0-7923-3794-8 75. L. de la Pefia and A.M. Cetto: The Quantum Dice. An Introduction to Stochastic

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Physics and Biology. 1996 ISBN 0-7923-3873-1 77. M.W. Evans, J.-P. Vigier, S. Roy and S. Jeffers: The Enigmatic Photon. Volume 3:

Theory and Practice of the B(3) Field. 1996 ISBN 0-7923-4044-2 78. W.G.V. Rosser: Interpretation of Classical Electromagnetism. 1996

ISBN 0-7923-4187-2 79. K.M. Hanson and R.N. Silver (eds.): Maximum Entropy and Bayesian Methods. 1996

ISBN 0-7923-4311-5 80. S. Jeffers, S. Roy, J.-P. Vigier and G. Hunter (eds.): The Present Status of the Quantum

Theory of Light. Proceedings of a Symposium in Honour of Jean-Pierre Vigier. 1997 ISBN 0-7923-4337-9

81. Still to be published 82. R. Miron: The Geometry of Higher-Order Lagrange Spaces. Applications to Mechanics

and Physics. 1997 ISBN 0-7923-4393-X 83. T. Hakioglu and A.S. Shumovsky (eds.): Quantum Optics and the Spectroscopy of

Solids. Concepts and Advances. 1997 ISBN 0-7923-4414-6 84. A. Sitenko and V. Tartakovskii: Theory of Nucleus. Nuclear Structure and Nuclear

Interaction. 1997 ISBM 0-7923-4423-5 85. G. Esposito, A.Yu. Kamenshchik and G. Pollifrone: Euclidean Quantum Gravity on

Manifolds with Boundary. 1997 ISBN 0-7923-4472-3 86. R.s. Ingarden, A. Kossakowski and M. Ohya: Information Dynamics and Open

Systems. Classical and Quantum Approach. 1997 ISBN 0-7923-4473-1

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