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Wightman, Arthur Strong

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 Author ID: wightman.arthur-s Published as: Wightman, A. S.; Wightman, Arthur S.; Wightman, A.; Wightman, Arthur; Wightman, Arthur Strong External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 47 Publications since 1948, including 8 Books Biographic References: 1 Publication
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Co-Authors

 25 single-authored 4 Velo, Giorgio 3 Gårding, Lars 3 Streater, Raymond F. 2 Lieb, Elliott H. 1 Baez, John C. 1 Beschler, Edwin F. 1 Coleman, Sidney 1 Deser, Stanley 1 Glance, Natalie S. 1 Glashow, Sheldon Lee 1 Gross, David Jonathan 1 Gross, Leonard 1 Källén, Gunnar 1 Kostant, Bertram 1 Marshak, Robert E. 1 Nelson, Joseph Edward 1 Pignataro, Thea 1 Schweber, Silvan S. 1 Simon, Barry 1 Stein, Elias Menachem 1 Vergne, Michèle 1 Weinberg, Steven 1 Wick, Gian Carlo 1 Wigner, Eugene Paul
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Serials

 5 Physical Review, II. Series 3 Notices of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Lecture Notes in Physics 1 Journal of Mathematical Physics 1 Fortschritte der Physik 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 The Journal of the Indian Mathematical Society. New Series 1 Annals of Physics 1 Nuclear Physics, B, Proceedings Supplements 1 Electronic Journal of Differential Equations (EJDE) 1 Physica Scripta 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Arkiv för Fysik 1 Princeton Series in Physics
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Fields

 14 Quantum theory (81-XX) 8 History and biography (01-XX) 5 Functional analysis (46-XX) 4 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 4 Differential geometry (53-XX) 3 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

39 Publications have been cited 1,036 times in 906 Documents Cited by Year
PCT, spin and statistics, and all that. Zbl 0135.44305
Streater, R. F.; Wightman, A. S.
1964
Quantum field theory in terms of vacuum expectation values. Zbl 0074.22902
Wightman, A. S.
1956
The intrinsic parity of elemenary particles. Zbl 0046.43906
Wick, G. C.; Wightman, A. S.; Wigner, Eugene P.
1952
PCT, spin and statistics, and all that. Corr. 3rd print. of the 1978 ed. Zbl 1026.81027
Streater, Raymond F.; Wightman, Arthur S.
2000
Configuration space methods in relativistic quantum field theory. I. Zbl 0068.22602
Wightman, A. S.; Schweber, S. S.
1955
Representations of the anticommutation relations. Zbl 0057.09603
Gårding, Lars; Wightman, A.
1954
PCT, spin and statistics, and all that. Classic ed. Zbl 0704.53058
Streater, Raymond F.; Wightman, Arthur S.
1989
Representations of the commutation relations. Zbl 0057.09604
Gårding, Lars; Wightman, A.
1954
Fields as operator-valued distributions in relativistic quantum theory. Zbl 0138.45401
Wightman, A. S.; Gårding, Lars
1965
Constructive quantum field theory. The 1973 ’Ettore Majorana’ international school of mathematical physics. Zbl 0325.00006
Velo, G. (ed.); Wightman, A. (ed.)
1973
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
Lieb, Elliott H. (ed.); Simon, Barry (ed.); Wightman, Arthur S. (ed.)
1976
La théorie quantique locale et la théorie quantique des champs. Zbl 0128.45803
Wightman, A. S.
1964
Hilbert’s sixth problem: Mathematical treatment of the axioms of physics. Zbl 0339.46051
Wightman, A. S.
1976
A theorem on invariant analytic functions with applications to relativistic quantum field theory. Zbl 0078.44302
Hall, D.; Wightman, A. S.
1957
Superselection rules in molecules. Zbl 0959.81517
Wightman, A. S.; Glance, N.
1989
Analytic functions of several complex variables. Zbl 0115.44802
Wightman, A. S.
1960
Relativistic wave equations as singular hyperbolic systems. Zbl 0261.35054
Wightman, A. S.
1973
The choice of test functions in quantum field theory. Zbl 0471.46022
Wightman, A. S.
1981
The inhomogeneous wave equation in local relativistic quantum field theory. Zbl 0099.43401
Wightman, A. S.; Epstein, H.
1960
The absorption of negative $$\pi$$-mesons by protons. Zbl 0033.04402
Marshak, R. E.; Wightman, A. S.
1949
Quantum field theory and analytic functions of several complex variables. Zbl 0105.22101
Wightman, A. S.
1961
Partial differential equations and relativistic quantum field theory. Zbl 0179.41902
Wightman, A. S.
1969
Invariant wave equations. Proceedings of the ”Ettore Majorana” international school of mathematical physics held in Erice, June 27 to July 9, 1977. Zbl 0435.35001
Velo, Giorgio (ed.); Wightman, Arthur S. (ed.)
1978
Some results on the structure of relativistic quantum field theory. Zbl 0128.45901
Wightman, A. S.
1963
Instability phenomena in the external field problem for two classes of relativistic wave equations. Zbl 0345.35069
Wightman, A. S.
1976
Quelques problèmes mathématique de la théorie quantique relativiste. Zbl 0090.19401
Wightman, A. S.
1959
How it was learned that quantized fields are operator-valued distributions. Zbl 1043.81602
Wightman, A. S.
1996
The usefulness of a general theory of quantized fields. Zbl 0972.81083
Wightman, A. S.
1999
L’invariance dans la mécanique quantique relativiste. Zbl 0115.44801
Wightman, A. S.
1960
Remarks on the present state of affairs in the quantum theory of elementary particles. Zbl 0173.53903
Wightman, A. S.
1966
Fundamental problems of gauge field theory. Proceedings of the sixth “Ettore Majorana” international school of mathematical physics and NATO Advanced Study Institute, held at the Ettore Majorana Center for Scientific Culture, Erice, Sicily, Italy, July 1-14, 1985. Zbl 0697.53079
Velo, G. (ed.); Wightman, A. S. (ed.)
1986
Looking back at quantum field theory. Zbl 1063.81500
Wightman, A. S.
1981
The relation between classical and quantum mechanics in an ergodic system. Zbl 0563.58017
Pignataro, T.; Wightman, A. S.
1984
Note on polarization effects in Compton scattering. Zbl 0041.33015
Wightman, A.
1948
Three exactly soluble quantum field theory models in $$2$$-, $$3$$- and $$4$$-dimensional space time and some general questions they suggest. Zbl 0947.81518
Wightman, Arthur S.
1992
Dual potentials of free Dirac currents as exactly soluble models. Zbl 0850.81039
Wightman, Arthur S.
1994
The analytic properties of the vacuum expectation value of a product of three scalar local fields. Zbl 0082.42401
Källén, G.; Wightman, A.
1958
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1999
Analyticity in the coupling constant. Zbl 0253.34023
Wightman, A. S.
1970
PCT, spin and statistics, and all that. Corr. 3rd print. of the 1978 ed. Zbl 1026.81027
Streater, Raymond F.; Wightman, Arthur S.
2000
The usefulness of a general theory of quantized fields. Zbl 0972.81083
Wightman, A. S.
1999
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1999
How it was learned that quantized fields are operator-valued distributions. Zbl 1043.81602
Wightman, A. S.
1996
Dual potentials of free Dirac currents as exactly soluble models. Zbl 0850.81039
Wightman, Arthur S.
1994
Three exactly soluble quantum field theory models in $$2$$-, $$3$$- and $$4$$-dimensional space time and some general questions they suggest. Zbl 0947.81518
Wightman, Arthur S.
1992
PCT, spin and statistics, and all that. Classic ed. Zbl 0704.53058
Streater, Raymond F.; Wightman, Arthur S.
1989
Superselection rules in molecules. Zbl 0959.81517
Wightman, A. S.; Glance, N.
1989
Fundamental problems of gauge field theory. Proceedings of the sixth “Ettore Majorana” international school of mathematical physics and NATO Advanced Study Institute, held at the Ettore Majorana Center for Scientific Culture, Erice, Sicily, Italy, July 1-14, 1985. Zbl 0697.53079
Velo, G.; Wightman, A. S.
1986
The relation between classical and quantum mechanics in an ergodic system. Zbl 0563.58017
Pignataro, T.; Wightman, A. S.
1984
The choice of test functions in quantum field theory. Zbl 0471.46022
Wightman, A. S.
1981
Looking back at quantum field theory. Zbl 1063.81500
Wightman, A. S.
1981
Invariant wave equations. Proceedings of the ”Ettore Majorana” international school of mathematical physics held in Erice, June 27 to July 9, 1977. Zbl 0435.35001
Velo, Giorgio; Wightman, Arthur S.
1978
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
Lieb, Elliott H.; Simon, Barry; Wightman, Arthur S.
1976
Hilbert’s sixth problem: Mathematical treatment of the axioms of physics. Zbl 0339.46051
Wightman, A. S.
1976
Instability phenomena in the external field problem for two classes of relativistic wave equations. Zbl 0345.35069
Wightman, A. S.
1976
Constructive quantum field theory. The 1973 ’Ettore Majorana’ international school of mathematical physics. Zbl 0325.00006
Velo, G.; Wightman, A.
1973
Relativistic wave equations as singular hyperbolic systems. Zbl 0261.35054
Wightman, A. S.
1973
Analyticity in the coupling constant. Zbl 0253.34023
Wightman, A. S.
1970
Partial differential equations and relativistic quantum field theory. Zbl 0179.41902
Wightman, A. S.
1969
Remarks on the present state of affairs in the quantum theory of elementary particles. Zbl 0173.53903
Wightman, A. S.
1966
Fields as operator-valued distributions in relativistic quantum theory. Zbl 0138.45401
Wightman, A. S.; Gårding, Lars
1965
PCT, spin and statistics, and all that. Zbl 0135.44305
Streater, R. F.; Wightman, A. S.
1964
La théorie quantique locale et la théorie quantique des champs. Zbl 0128.45803
Wightman, A. S.
1964
Some results on the structure of relativistic quantum field theory. Zbl 0128.45901
Wightman, A. S.
1963
Quantum field theory and analytic functions of several complex variables. Zbl 0105.22101
Wightman, A. S.
1961
Analytic functions of several complex variables. Zbl 0115.44802
Wightman, A. S.
1960
The inhomogeneous wave equation in local relativistic quantum field theory. Zbl 0099.43401
Wightman, A. S.; Epstein, H.
1960
L’invariance dans la mécanique quantique relativiste. Zbl 0115.44801
Wightman, A. S.
1960
Quelques problèmes mathématique de la théorie quantique relativiste. Zbl 0090.19401
Wightman, A. S.
1959
The analytic properties of the vacuum expectation value of a product of three scalar local fields. Zbl 0082.42401
Källén, G.; Wightman, A.
1958
A theorem on invariant analytic functions with applications to relativistic quantum field theory. Zbl 0078.44302
Hall, D.; Wightman, A. S.
1957
Quantum field theory in terms of vacuum expectation values. Zbl 0074.22902
Wightman, A. S.
1956
Configuration space methods in relativistic quantum field theory. I. Zbl 0068.22602
Wightman, A. S.; Schweber, S. S.
1955
Representations of the anticommutation relations. Zbl 0057.09603
Gårding, Lars; Wightman, A.
1954
Representations of the commutation relations. Zbl 0057.09604
Gårding, Lars; Wightman, A.
1954
The intrinsic parity of elemenary particles. Zbl 0046.43906
Wick, G. C.; Wightman, A. S.; Wigner, Eugene P.
1952
The absorption of negative $$\pi$$-mesons by protons. Zbl 0033.04402
Marshak, R. E.; Wightman, A. S.
1949
Note on polarization effects in Compton scattering. Zbl 0041.33015
Wightman, A.
1948
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Cited by 963 Authors

 26 Schroer, Bert 14 Buchholz, Detlev 12 Fredenhagen, Klaus 11 Borchers, Hans-Jürgen 11 Bros, Jacques 10 Solov’ev, Mikhaĭl Aleksandrovich 9 Albeverio, Sergio A. 9 Moschella, Ugo 9 Summers, Stephen Jeffrey 9 Todorov, Ivan T. 8 Lechner, Gandalf 8 Yngvason, Jakob 7 Longo, Roberto 6 Bostelmann, Henning 6 Constantinescu, Florin 6 Grosse, Harald 6 Jørgensen, Palle E. T. 6 Mund, Jens 6 Steinmann, Othmar 6 Verch, Rainer 6 Vernov, Yu. S. 5 Araki, Huzihiro 5 Chaichian, Masud 5 Epstein, Henri 5 Foldy, Leslie L. 5 Hegerfeldt, Gerhard C. 5 Manoharan, A. C. 5 Mnatsakanova, M. N. 5 Nikolov, Nikolay M. 5 Samoĭlenko, Yuriĭ Stefanovych 5 Sewell, Geoffrey L. 5 Streater, Raymond F. 5 Strocchi, Franco 5 Sudarshan, E. C. George 5 Volkel, A. H. 5 Wald, Robert M. 5 Wichmann, Eyvind H. 5 Wulkenhaar, Raimar 4 Baumann, Klaus 4 Bender, Carl M. 4 Doplicher, Sergio 4 Driessler, Wulf 4 Fewster, Christopher John 4 Fraser, Doreen 4 Gottschalk, Hanno 4 Greenberg, O. W. 4 Guido, Daniele 4 Haag, Rudolf 4 Høegh-Krohn, Raphael J. 4 Hollands, Stefan 4 Lieb, Elliott H. 4 Lowdon, Peter 4 Mack, Gerhard 4 Powers, Robert T. 4 Rehren, Karl-Henning 4 Rivasseau, Vincent 4 Roberts, John Elias 4 Ruzzi, Giuseppe 4 Schlieder, Siegfried 4 Simon, Barry 4 Tureanu, Anca 4 Yamagata, Hideo 4 Zimmermann, Wolfhart 3 Aste, Andreas 3 Ciolli, Fabio 3 Cirelli, Renzo 3 Dubin, Daniel A. 3 Dubois-Violette, Michel 3 Franco, Daniel H. T. 3 Fröhlich, Jürg Martin 3 Gill, Tepper L. 3 Gross, Leonard 3 Harlow, Daniel 3 Koshmanenko, Volodymyr Dmytrovych 3 Kraus, Karl 3 Kuckert, Bernd 3 Lewin, Mathieu 3 Magnen, Jacques 3 Manià, Alessandro 3 Manolessou, Marietta M. 3 Morchio, Giovanni 3 Nagamachi, Shigeaki 3 Ostrovskyĭ, Vasyl L. 3 Palmer, John N. 3 Pohlmeyer, K. 3 Reed, Michael C. 3 Rosen, Lon M. 3 Rougerie, Nicolas 3 Ruelle, David Pierre 3 Schmeelk, John F. 3 Schrader, Robert 3 Segal, Irving Ezra 3 Shvedov, Oleg Yur’evich 3 Stapp, Henry P. 3 Vasselli, Ezio 3 Verbeure, André F. 3 Vladimirov, Vasiliĭ Sergeevich 3 Werner, Reinhard F. 3 Zachary, Woodford William 2 Acharya, Raghunath ...and 863 more Authors
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Cited in 132 Serials

 172 Communications in Mathematical Physics 93 Journal of Mathematical Physics 36 Nuclear Physics. B 32 Annals of Physics 31 Physical Review, II. Series 29 Il Nuovo Cimento, X. Series 29 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 27 International Journal of Theoretical Physics 26 Journal of High Energy Physics 25 Journal of Functional Analysis 22 Letters in Mathematical Physics 22 Reports on Mathematical Physics 18 Theoretical and Mathematical Physics 14 Physics Letters. B 14 Foundations of Physics 12 Annales Henri Poincaré 11 International Journal of Modern Physics A 11 Reviews of Modern Physics 11 Reviews in Mathematical Physics 10 General Relativity and Gravitation 9 Journal of Mathematical Analysis and Applications 9 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 9 Annales de l’Institut Henri Poincaré. Physique Théorique 7 Physics Letters. A 7 Nuclear Physics, B, Proceedings Supplements 7 Proceedings of the Japan Academy 7 Il Nuovo Cimento, X. Series, A 6 Journal of Statistical Physics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 International Journal of Modern Physics D 6 Physical Review Letters 6 Bulletin of the American Mathematical Society 5 Ukrainian Mathematical Journal 5 Journal of Geometry and Physics 5 New Journal of Physics 4 Physics Reports 4 Transactions of the American Mathematical Society 4 Physical Review D. Series III 4 International Journal of Quantum Information 3 Journal of Soviet Mathematics 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Synthese 3 Bulletin of the American Mathematical Society. New Series 3 Advances in Applied Clifford Algebras 3 Open Systems & Information Dynamics 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Erkenntnis 2 Modern Physics Letters A 2 International Journal of Modern Physics B 2 Archive for History of Exact Sciences 2 Classical and Quantum Gravity 2 Physica A 2 Functional Analysis and its Applications 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Advances in Applied Mathematics 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Acta Applicandae Mathematicae 2 Expositiones Mathematicae 2 Applied and Computational Harmonic Analysis 2 Doklady Mathematics 2 Quantum Information Processing 2 International Journal of Geometric Methods in Modern Physics 2 Advances in Mathematical Physics 2 Quantum Studies: Mathematics and Foundations 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 European Journal of Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 The Annals of Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Calcolo 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Tohoku Mathematical Journal. Second Series 1 Physica D 1 Mathematical and Computer Modelling 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 Sugaku Expositions 1 MSCS. Mathematical Structures in Computer Science 1 Communications in Partial Differential Equations 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 Historia Mathematica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics ...and 32 more Serials
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Cited in 56 Fields

 550 Quantum theory (81-XX) 209 Functional analysis (46-XX) 86 Relativity and gravitational theory (83-XX) 70 Operator theory (47-XX) 50 Statistical mechanics, structure of matter (82-XX) 42 Partial differential equations (35-XX) 35 Differential geometry (53-XX) 35 Probability theory and stochastic processes (60-XX) 29 Global analysis, analysis on manifolds (58-XX) 25 Topological groups, Lie groups (22-XX) 16 Nonassociative rings and algebras (17-XX) 15 General and overarching topics; collections (00-XX) 15 History and biography (01-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Mechanics of particles and systems (70-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Mathematical logic and foundations (03-XX) 10 Group theory and generalizations (20-XX) 9 Algebraic geometry (14-XX) 9 Statistics (62-XX) 8 Number theory (11-XX) 8 Associative rings and algebras (16-XX) 8 Abstract harmonic analysis (43-XX) 8 Optics, electromagnetic theory (78-XX) 7 Measure and integration (28-XX) 7 Special functions (33-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Manifolds and cell complexes (57-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 General topology (54-XX) 3 Fluid mechanics (76-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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