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## Kay, Bernard S.

Compute Distance To:
 Author ID: kay.bernard-s Published as: Kay, B. S.; Kay, Bernard; Kay, Bernard S.
 Documents Indexed: 29 Publications since 1982
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#### Co-Authors

 13 single-authored 5 Dimock, Jonathan 3 Wald, Robert M. 1 Cramer, Claes R. 1 Eveson, Simon P. 1 Gonnella, Guiseppe 1 Higuchi, Akira 1 Kay, Amanda R. 1 Lupo, Umberto 1 Ortiz, Luis E. 1 Radzikowski, Marek J. 1 Studer, Urban M. 1 Wood, Chris M.
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#### Serials

 7 Classical and Quantum Gravity 3 Communications in Mathematical Physics 3 General Relativity and Gravitation 2 Journal of Mathematical Physics 1 Physics Reports 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Bulletin of the London Mathematical Society 1 Annals of Physics 1 Journal of Physics A: Mathematical and General 1 Foundations of Physics
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#### Fields

 23 Quantum theory (81-XX) 21 Relativity and gravitational theory (83-XX) 16 Differential geometry (53-XX) 7 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 410 times in 305 Documents Cited by Year
Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon. Zbl 0861.53074
Kay, Bernard S.; Wald, Robert M.
1991
Linear stability of Schwarzschild under perturbations which are non- vanishing on the bifurcation 2-sphere. Zbl 0647.53065
Kay, Bernard S.; Wald, Robert M.
1987
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. I. Zbl 0628.53080
Dimock, J.; Kay, Bernard S.
1987
Boundary conditions for quantum mechanics on cones and fields around cosmic strings. Zbl 0727.53087
Kay, Bernard S.; Studer, Urban M.
1991
The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes. Zbl 0578.46062
Kay, Bernard S.
1985
Quantum field theory on spacetimes with a compactly generated Cauchy horizon. Zbl 0883.53057
Kay, Bernard S.; Radzikowski, Marek J.; Wald, Robert M.
1997
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. II. Zbl 0608.53065
Dimock, J.; Kay, Bernard S.
1986
The energy of unit vector fields on the 3-sphere. Zbl 0993.53020
Higuchi, A.; Kay, B. S.; Wood, C. M.
2001
The principle of locality and quantum field theory on (non globally hyperbolic) curved spacetimes. Zbl 0779.53052
Kay, Bernard S.
1992
Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space-times with horizons. Zbl 0809.53076
Kay, Bernard S.
1993
Can locally Hadamard quantum states have nonlocal singularities? Zbl 0678.53082
Gonnella, Guiseppe; Kay, Bernard S.
1989
Decoherence of macroscopic closed systems within Newtonian quantum gravity. Zbl 0941.83018
Kay, Bernard S.
1998
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0659.53054
Dimock, J.; Kay, Bernard S.
1986
Non-existence of isometry-invariant Hadamard states for a Kruskal black hole in a box and for massless fields on $$1+1$$ Minkowski spacetime with a uniformly accelerating mirror. Zbl 1351.83029
Kay, Bernard S.; Lupo, Umberto
2016
Brick walls and AdS/CFT. Zbl 1291.83145
Kay, Bernard S.; Ortíz, L.
2014
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0591.35080
Dimock, J.; Kay, Bernard S.
1986
Classical wave operators and asymptotic quantum field operators on curved space-times. Zbl 0539.35063
Dimock, J.; Kay, Bernard S.
1982
Instability of enclosed horizons. Zbl 1317.83060
Kay, Bernard S.
2015
Quantum fields in curved spacetime: non global hyperbolicity and locality. Zbl 0918.53027
Kay, Bernard S.
1997
Quantum field theory in curved spacetime. Zbl 0872.53052
Kay, Bernard
1988
Monotonicity with volume of entropy and of mean entropy for translationally invariant systems as consequences of strong subadditivity. Zbl 0988.82003
Kay, Amanda R.; Kay, Bernard S.
2001
Stress-energy must be singular on the Misner space horizon even for automorphic fields. Zbl 0865.53068
Cramer, Claes R.; Kay, Bernard S.
1996
Quantum field theory in curved spacetime. Zbl 0947.81533
Kay, Bernard S.
1992
Quantum fields in curved space-times and scattering theory. Zbl 0544.35078
Kay, Bernard S.
1982
The matter-gravity entanglement hypothesis. Zbl 1394.81170
Kay, Bernard S.
2018
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes: Especially black holes, time machines and a new semi-local vacuum concept. Zbl 1011.81046
Kay, Bernard S.
2000
The matter-gravity entanglement hypothesis. Zbl 1394.81170
Kay, Bernard S.
2018
Non-existence of isometry-invariant Hadamard states for a Kruskal black hole in a box and for massless fields on $$1+1$$ Minkowski spacetime with a uniformly accelerating mirror. Zbl 1351.83029
Kay, Bernard S.; Lupo, Umberto
2016
Instability of enclosed horizons. Zbl 1317.83060
Kay, Bernard S.
2015
Brick walls and AdS/CFT. Zbl 1291.83145
Kay, Bernard S.; Ortíz, L.
2014
The energy of unit vector fields on the 3-sphere. Zbl 0993.53020
Higuchi, A.; Kay, B. S.; Wood, C. M.
2001
Monotonicity with volume of entropy and of mean entropy for translationally invariant systems as consequences of strong subadditivity. Zbl 0988.82003
Kay, Amanda R.; Kay, Bernard S.
2001
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes: Especially black holes, time machines and a new semi-local vacuum concept. Zbl 1011.81046
Kay, Bernard S.
2000
Decoherence of macroscopic closed systems within Newtonian quantum gravity. Zbl 0941.83018
Kay, Bernard S.
1998
Quantum field theory on spacetimes with a compactly generated Cauchy horizon. Zbl 0883.53057
Kay, Bernard S.; Radzikowski, Marek J.; Wald, Robert M.
1997
Quantum fields in curved spacetime: non global hyperbolicity and locality. Zbl 0918.53027
Kay, Bernard S.
1997
Stress-energy must be singular on the Misner space horizon even for automorphic fields. Zbl 0865.53068
Cramer, Claes R.; Kay, Bernard S.
1996
Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space-times with horizons. Zbl 0809.53076
Kay, Bernard S.
1993
The principle of locality and quantum field theory on (non globally hyperbolic) curved spacetimes. Zbl 0779.53052
Kay, Bernard S.
1992
Quantum field theory in curved spacetime. Zbl 0947.81533
Kay, Bernard S.
1992
Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon. Zbl 0861.53074
Kay, Bernard S.; Wald, Robert M.
1991
Boundary conditions for quantum mechanics on cones and fields around cosmic strings. Zbl 0727.53087
Kay, Bernard S.; Studer, Urban M.
1991
Can locally Hadamard quantum states have nonlocal singularities? Zbl 0678.53082
Gonnella, Guiseppe; Kay, Bernard S.
1989
Quantum field theory in curved spacetime. Zbl 0872.53052
Kay, Bernard
1988
Linear stability of Schwarzschild under perturbations which are non- vanishing on the bifurcation 2-sphere. Zbl 0647.53065
Kay, Bernard S.; Wald, Robert M.
1987
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. I. Zbl 0628.53080
Dimock, J.; Kay, Bernard S.
1987
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. II. Zbl 0608.53065
Dimock, J.; Kay, Bernard S.
1986
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0659.53054
Dimock, J.; Kay, Bernard S.
1986
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0591.35080
Dimock, J.; Kay, Bernard S.
1986
The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes. Zbl 0578.46062
Kay, Bernard S.
1985
Classical wave operators and asymptotic quantum field operators on curved space-times. Zbl 0539.35063
Dimock, J.; Kay, Bernard S.
1982
Quantum fields in curved space-times and scattering theory. Zbl 0544.35078
Kay, Bernard S.
1982
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#### Cited by 344 Authors

 15 Dappiaggi, Claudio 15 Pinamonti, Nicola 15 Verch, Rainer 13 Moretti, Valter 10 Kay, Bernard S. 8 Dafermos, Mihalis 8 Wald, Robert M. 7 Finster, Felix 7 Gérard, Christian 7 Rodnianski, Igor 7 Wrochna, Michał 6 Drago, Nicolò 6 Nicolas, Jean-Philippe 6 Sanders, Ko 5 Aretakis, Stefanos 5 Bachelot, Alain 5 Earman, John 5 Fredenhagen, Klaus 5 Hollands, Stefan 5 Shlapentokh-Rothman, Yakov 4 Dimock, Jonathan 4 Fewster, Christopher John 4 Hack, Thomas-Paul 4 Moschella, Ugo 4 Murro, Simone 4 Smoller, Joel Alan 4 Vasy, András 3 Altın, Ayşe 3 Angelopoulos, Yannis 3 Benini, Marco 3 Bros, Jacques 3 Brunetti, Romeo 3 Compère, Geoffrey 3 Emparan, Roberto 3 Gajic, Dejan 3 Häfner, Dietrich 3 Helliwell, Thomas M. 3 Hintz, Peter 3 Kamran, Niky 3 Konkowski, Deborah A. 3 Markellos, Michael 3 Moschidis, Georgios 3 Prabhu, Kartik 3 Soffer, Avraham 3 Urakawa, Hajime 3 Wood, Chris M. 3 Yau, Shing-Tung 2 Beyer, Horst Reinhard 2 Blue, Pieter 2 Carlip, Steven 2 Chruściel, Piotr Tadeusz 2 Costa, João Lopes 2 Donninger, Roland 2 Epstein, Henri 2 Gralla, Samuel E. 2 Hasegawa, Kazuyuki 2 Heusler, Markus 2 Holzegel, Gustav 2 Hung, Pei-Ken 2 Keller, Jordan 2 Kirsten, Klaus 2 Kokotov, Aleksey 2 Krishnan, Chethan 2 Lechner, Gandalf 2 Letelier, Patricio S. 2 Liguori, Aurelio 2 Louko, Jorma 2 Loya, Paul A. 2 Ma, Siyuan 2 Mars, Marc 2 Metcalfe, Jason L. 2 Minguzzi, Ettore 2 Mintchev, Mihail 2 Ortiz, Luis E. 2 Paetz, Tim-Torben 2 Park, Jinsung 2 Manoel Pitelli, João Paulo 2 Radzikowski, Marek J. 2 Raeymaekers, Joris 2 Rejzner, Kasia 2 Riazi, Nematollah 2 Sajadi, Seyed Naseh 2 Sanchez Sanchez, Yafet 2 Sarbach, Olivier C. A. 2 Schlag, Wilhelm 2 Schmidt, Bernd Gerhard 2 Senovilla, José M. M. 2 Summers, Stephen Jeffrey 2 Tataru, Daniel 2 Tohaneanu, Mihai 2 Wang, Mu-Tao 2 Winstanley, Elizabeth 2 Wollenberg, Manfred 2 Zimmerman, Peter 1 Abel, Paul G. 1 Agnew, Alfonso F. 1 Agulló, Iván 1 Aldaya, Victor 1 Alho, Artur 1 Altin, Abdullah ...and 244 more Authors
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#### Cited in 65 Serials

 43 Journal of Mathematical Physics 37 Communications in Mathematical Physics 26 Annales Henri Poincaré 16 General Relativity and Gravitation 15 Journal of High Energy Physics 14 Letters in Mathematical Physics 12 Reviews in Mathematical Physics 8 Living Reviews in Relativity 7 Classical and Quantum Gravity 6 International Journal of Modern Physics A 6 Journal of Geometry and Physics 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Journal of Hyperbolic Differential Equations 5 Differential Geometry and its Applications 5 International Journal of Modern Physics D 5 Annals of PDE 4 Nuclear Physics. B 4 Inventiones Mathematicae 4 Physical Review D. Series III 4 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 3 Journal of Functional Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the American Mathematical Society. New Series 2 International Journal of Theoretical Physics 2 Physics Letters. B 2 Physics Reports 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Synthese 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Physical Review Letters 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Reviews of Modern Physics 1 Fortschritte der Physik 1 Annales de l’Institut Fourier 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Monatshefte für Mathematik 1 Theory and Decision 1 The Journal of Geometric Analysis 1 Annals of Physics 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Discrete Dynamics in Nature and Society 1 New Journal of Physics 1 Annalen der Physik. 8th Series 1 Annals of Mathematics. Second Series 1 Erkenntnis 1 Journal of the European Mathematical Society (JEMS) 1 International Studies in the Philosophy of Science 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics Letters 1 Foundations of Physics 1 The European Physical Journal C. Particles and Fields 1 Axioms 1 Cogent Mathematics 1 Pure and Applied Analysis
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#### Cited in 33 Fields

 204 Relativity and gravitational theory (83-XX) 170 Quantum theory (81-XX) 85 Partial differential equations (35-XX) 67 Differential geometry (53-XX) 43 Global analysis, analysis on manifolds (58-XX) 42 Functional analysis (46-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Operator theory (47-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Astronomy and astrophysics (85-XX) 5 Information and communication theory, circuits (94-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)