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Wightman, Arthur Strong (b. 1922 d. 2013)

Author ID: wightman.arthur-s Recent zbMATH articles by "Wightman, Arthur Strong"
Published as: Wightman, A. S.; Wightman, Arthur S.; Wightman, A.; Wightman, Arthur
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 42 Publications since 1948, including 3 Books
6 Contributions as Editor · 3 Further Contributions
Biographic References: 1 Publication
Co-Authors: 26 Co-Authors with 22 Joint Publications
757 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 1,329 times in 1,147 Documents Cited by Year
PCT, spin and statistics, and all that. Zbl 0135.44305
Streater, R. F.; Wightman, A. S.
532
1964
Quantum field theory in terms of vacuum expectation values. Zbl 0074.22902
Wightman, A. S.
147
1956
The intrinsic parity of elemenary particles. Zbl 0046.43906
Wick, G. C.; Wightman, A. S.; Wigner, Eugene P.
125
1952
Convexity in the theory of lattice gases. With an introduction by Arthur S. Wightman. Zbl 0399.46055
Israel, Robert B.
113
1979
PCT, spin and statistics, and all that. Corr. 3rd print. of the 1978 ed. Zbl 1026.81027
Streater, Raymond F.; Wightman, Arthur S.
79
2000
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
54
1976
PCT, spin and statistics, and all that. Classic ed. Zbl 0704.53058
Streater, Raymond F.; Wightman, Arthur S.
54
1989
Configuration space methods in relativistic quantum field theory. I. Zbl 0068.22602
Wightman, A. S.; Schweber, S. S.
44
1955
Constructive quantum field theory. The 1973 ’Ettore Majorana’ international school of mathematical physics. Zbl 0325.00006
43
1973
Representations of the anticommutation relations. Zbl 0057.09603
Gårding, Lars; Wightman, A.
41
1954
Fields as operator-valued distributions in relativistic quantum theory. Zbl 0138.45401
Wightman, A. S.; Gårding, Lars
35
1965
Representations of the commutation relations. Zbl 0057.09604
Gårding, Lars; Wightman, A.
34
1954
Hilbert’s sixth problem: Mathematical treatment of the axioms of physics. Zbl 0339.46051
Wightman, A. S.
19
1976
A theorem on invariant analytic functions with applications to relativistic quantum field theory. Zbl 0078.44302
Hall, D.; Wightman, A. S.
17
1957
La théorie quantique locale et la théorie quantique des champs. Zbl 0128.45803
Wightman, A. S.
16
1964
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
8
1978
Relativistic wave equations as singular hyperbolic systems. Zbl 0261.35054
Wightman, A. S.
7
1973
The choice of test functions in quantum field theory. Zbl 0471.46022
Wightman, A. S.
6
1981
Analytic functions of several complex variables. Zbl 0115.44802
Wightman, A. S.
6
1960
Superselection rules in molecules. Zbl 0959.81517
Wightman, A. S.; Glance, N.
6
1989
The inhomogeneous wave equation in local relativistic quantum field theory. Zbl 0099.43401
Wightman, A. S.; Epstein, H.
5
1960
Quantum field theory and analytic functions of several complex variables. Zbl 0105.22101
Wightman, A. S.
5
1961
The collected works of Eugene Paul Wigner. Part A: The scientific papers. Volume III. Part I: Particles and fields. Annotated by Arthur Wightman. Part II: Foundations of quantum mechanics. Annotated by Abner Shimony. Ed. by Arthur S. Wightman. Zbl 0862.01040
Wigner, Eugene Paul
5
1997
Instability phenomena in the external field problem for two classes of relativistic wave equations. Zbl 0345.35069
Wightman, A. S.
4
1976
Partial differential equations and relativistic quantum field theory. Zbl 0179.41902
Wightman, A. S.
4
1969
The absorption of negative \(\pi\)-mesons by protons. Zbl 0033.04402
Marshak, R. E.; Wightman, A. S.
4
1949
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
4
1986
How it was learned that quantized fields are operator-valued distributions. Zbl 1043.81602
Wightman, A. S.
4
1996
Some results on the structure of relativistic quantum field theory. Zbl 0128.45901
Wightman, A. S.
3
1963
Remarks on the present state of affairs in the quantum theory of elementary particles. Zbl 0173.53903
Wightman, A. S.
3
1966
The collected works of Eugene Paul Wigner. Part A: The scientific papers. Volume 2: Nuclear physics. Ed. by A. S. Wightman and J. Mehra. Annotated by Herman Feshbach. Zbl 0837.01036
Wigner, Eugene P.
3
1996
Quelques problèmes mathématique de la théorie quantique relativiste. Zbl 0090.19401
Wightman, A. S.
3
1959
L’invariance dans la mécanique quantique relativiste. Zbl 0115.44801
Wightman, A. S.
2
1960
The relation between classical and quantum mechanics in an ergodic system. Zbl 0563.58017
Pignataro, T.; Wightman, A. S.
2
1984
The usefulness of a general theory of quantized fields. Zbl 0972.81083
Wightman, A. S.
2
1999
Looking back at quantum field theory. Zbl 1063.81500
Wightman, A. S.
2
1981
Regular and chaotic motions in dynamic systems. (Proceedings of the Fifth International School of Mathematical Physics and NATO Advanced Study Institute on Regular and Chaotic Motions in Dynamic Systems, held July 2- 14, 1983, at the Ettore Majorana Center for Scientific Culture, Erice, Sicily, Italy). Zbl 0661.70002
2
1985
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.
1
1999
Note on polarization effects in Compton scattering. Zbl 0041.33015
Wightman, A.
1
1948
The analytic properties of the vacuum expectation value of a product of three scalar local fields. Zbl 0082.42401
Källén, G.; Wightman, A.
1
1958
Dual potentials of free Dirac currents as exactly soluble models. Zbl 0850.81039
Wightman, Arthur S.
1
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.
1
1992
Analyticity in the coupling constant. Zbl 0253.34023
Wightman, A. S.
1
1970
Three formulas for the off-diagonal density matrix of a Dirac spinor, with an application. Zbl 1013.81022
Wightman, A. S.
1
2001
Three formulas for the off-diagonal density matrix of a Dirac spinor, with an application. Zbl 1013.81022
Wightman, A. S.
1
2001
PCT, spin and statistics, and all that. Corr. 3rd print. of the 1978 ed. Zbl 1026.81027
Streater, Raymond F.; Wightman, Arthur S.
79
2000
The usefulness of a general theory of quantized fields. Zbl 0972.81083
Wightman, A. S.
2
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.
1
1999
The collected works of Eugene Paul Wigner. Part A: The scientific papers. Volume III. Part I: Particles and fields. Annotated by Arthur Wightman. Part II: Foundations of quantum mechanics. Annotated by Abner Shimony. Ed. by Arthur S. Wightman. Zbl 0862.01040
Wigner, Eugene Paul
5
1997
How it was learned that quantized fields are operator-valued distributions. Zbl 1043.81602
Wightman, A. S.
4
1996
The collected works of Eugene Paul Wigner. Part A: The scientific papers. Volume 2: Nuclear physics. Ed. by A. S. Wightman and J. Mehra. Annotated by Herman Feshbach. Zbl 0837.01036
Wigner, Eugene P.
3
1996
Dual potentials of free Dirac currents as exactly soluble models. Zbl 0850.81039
Wightman, Arthur S.
1
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.
1
1992
PCT, spin and statistics, and all that. Classic ed. Zbl 0704.53058
Streater, Raymond F.; Wightman, Arthur S.
54
1989
Superselection rules in molecules. Zbl 0959.81517
Wightman, A. S.; Glance, N.
6
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
4
1986
Regular and chaotic motions in dynamic systems. (Proceedings of the Fifth International School of Mathematical Physics and NATO Advanced Study Institute on Regular and Chaotic Motions in Dynamic Systems, held July 2- 14, 1983, at the Ettore Majorana Center for Scientific Culture, Erice, Sicily, Italy). Zbl 0661.70002
2
1985
The relation between classical and quantum mechanics in an ergodic system. Zbl 0563.58017
Pignataro, T.; Wightman, A. S.
2
1984
The choice of test functions in quantum field theory. Zbl 0471.46022
Wightman, A. S.
6
1981
Looking back at quantum field theory. Zbl 1063.81500
Wightman, A. S.
2
1981
Convexity in the theory of lattice gases. With an introduction by Arthur S. Wightman. Zbl 0399.46055
Israel, Robert B.
113
1979
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
8
1978
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
54
1976
Hilbert’s sixth problem: Mathematical treatment of the axioms of physics. Zbl 0339.46051
Wightman, A. S.
19
1976
Instability phenomena in the external field problem for two classes of relativistic wave equations. Zbl 0345.35069
Wightman, A. S.
4
1976
Constructive quantum field theory. The 1973 ’Ettore Majorana’ international school of mathematical physics. Zbl 0325.00006
43
1973
Relativistic wave equations as singular hyperbolic systems. Zbl 0261.35054
Wightman, A. S.
7
1973
Analyticity in the coupling constant. Zbl 0253.34023
Wightman, A. S.
1
1970
Partial differential equations and relativistic quantum field theory. Zbl 0179.41902
Wightman, A. S.
4
1969
Remarks on the present state of affairs in the quantum theory of elementary particles. Zbl 0173.53903
Wightman, A. S.
3
1966
Fields as operator-valued distributions in relativistic quantum theory. Zbl 0138.45401
Wightman, A. S.; Gårding, Lars
35
1965
PCT, spin and statistics, and all that. Zbl 0135.44305
Streater, R. F.; Wightman, A. S.
532
1964
La théorie quantique locale et la théorie quantique des champs. Zbl 0128.45803
Wightman, A. S.
16
1964
Some results on the structure of relativistic quantum field theory. Zbl 0128.45901
Wightman, A. S.
3
1963
Quantum field theory and analytic functions of several complex variables. Zbl 0105.22101
Wightman, A. S.
5
1961
Analytic functions of several complex variables. Zbl 0115.44802
Wightman, A. S.
6
1960
The inhomogeneous wave equation in local relativistic quantum field theory. Zbl 0099.43401
Wightman, A. S.; Epstein, H.
5
1960
L’invariance dans la mécanique quantique relativiste. Zbl 0115.44801
Wightman, A. S.
2
1960
Quelques problèmes mathématique de la théorie quantique relativiste. Zbl 0090.19401
Wightman, A. S.
3
1959
The analytic properties of the vacuum expectation value of a product of three scalar local fields. Zbl 0082.42401
Källén, G.; Wightman, A.
1
1958
A theorem on invariant analytic functions with applications to relativistic quantum field theory. Zbl 0078.44302
Hall, D.; Wightman, A. S.
17
1957
Quantum field theory in terms of vacuum expectation values. Zbl 0074.22902
Wightman, A. S.
147
1956
Configuration space methods in relativistic quantum field theory. I. Zbl 0068.22602
Wightman, A. S.; Schweber, S. S.
44
1955
Representations of the anticommutation relations. Zbl 0057.09603
Gårding, Lars; Wightman, A.
41
1954
Representations of the commutation relations. Zbl 0057.09604
Gårding, Lars; Wightman, A.
34
1954
The intrinsic parity of elemenary particles. Zbl 0046.43906
Wick, G. C.; Wightman, A. S.; Wigner, Eugene P.
125
1952
The absorption of negative \(\pi\)-mesons by protons. Zbl 0033.04402
Marshak, R. E.; Wightman, A. S.
4
1949
Note on polarization effects in Compton scattering. Zbl 0041.33015
Wightman, A.
1
1948
all top 5

Cited by 1,267 Authors

24 Schroer, Bert
14 Buchholz, Detlev
12 Fredenhagen, Klaus
11 Borchers, Hans-Jürgen
11 Bros, Jacques
11 Moschella, Ugo
11 Solov’ev, Mikhaĭl Aleksandrovich
10 Albeverio, Sergio A.
9 Lechner, Gandalf
9 Summers, Stephen Jeffrey
9 Todorov, Ivan T.
8 Jørgensen, Palle E. T.
8 Mund, Jens
8 Yngvason, Jakob
7 Constantinescu, Florin
7 Longo, Roberto
7 Verch, Rainer
6 Bostelmann, Henning
6 Epstein, Henri
6 Grosse, Harald
6 Hegerfeldt, Gerhard C.
6 Simon, Barry
6 Steinmann, Othmar
6 Streater, Raymond F.
6 Vernov, Yu. S.
5 Araki, Huzihiro
5 Chaichian, Masud
5 Foldy, Leslie L.
5 Lowdon, Peter
5 Maharana, Jnanadeva
5 Manoharan, A. C.
5 Mnatsakanova, M. N.
5 Nikolov, Nikolay M.
5 Rehren, Karl-Henning
5 Rivasseau, Vincent
5 Samoĭlenko, Yuriĭ Stefanovych
5 Sewell, Geoffrey L.
5 Strocchi, Franco
5 Sudarshan, E. C. George
5 Tureanu, Anca
5 Volkel, A. H.
5 Wald, Robert M.
5 Wichmann, Eyvind H.
5 Wulkenhaar, Raimar
4 Aste, Andreas
4 Baumann, Klaus
4 Bender, Carl M.
4 Doplicher, Sergio
4 Driessler, Wulf
4 Dubois-Violette, Michel
4 Fewster, Christopher John
4 Fraser, Doreen
4 Gottschalk, Hanno
4 Greenberg, O. W.
4 Gross, Leonard
4 Guido, Daniele
4 Haag, Rudolf
4 Høegh-Krohn, Raphael J.
4 Hollands, Stefan
4 Landau, Lawrence J.
4 Lieb, Elliott Hershel
4 Mack, Gerhard
4 Magnen, Jacques
4 Powers, Robert T.
4 Roberts, John Elias
4 Rosen, Lon M.
4 Ruzzi, Giuseppe
4 Schlieder, Siegfried
4 Schrader, Robert
4 Szabados, László B.
4 Takook, Mohammad Vahid
4 Wawrzycki, Jarosław
4 Yamagata, Hideo
4 Zhiboedov, Alexander
4 Zimmermann, Wolfhart
3 Ashtekar, Abhay
3 Bahiru, Eyoab
3 Benatti, Fabio
3 Bertola, Marco
3 Brody, Dorje C.
3 Challifour, John L.
3 Ciolli, Fabio
3 Cirelli, Renzo
3 D’Ariano, Giacomo Mauro
3 Dubin, Daniel A.
3 Emch, Gerard G.
3 Fidaleo, Francesco
3 Floreanini, Roberto
3 Franco, Daniel H. T.
3 Fröhlich, Jürg Martin
3 Gazeau, Jean-Pierre
3 Gill, Tepper L.
3 Giulini, Domenico J. W.
3 Gudder, Stanley P.
3 Harlow, Daniel
3 Ilyin, Aleksei A.
3 Jaffe, Arthur Michael
3 Jäkel, Christian D.
3 Klein, Abel
3 Koshmanenko, Volodymyr Dmytrovych
...and 1,167 more Authors
all top 5

Cited in 156 Serials

179 Communications in Mathematical Physics
103 Journal of Mathematical Physics
65 Annals of Physics
60 Journal of High Energy Physics
40 Nuclear Physics. B
34 Reports on Mathematical Physics
31 Physical Review, II. Series
30 International Journal of Theoretical Physics
30 Journal of Functional Analysis
29 Il Nuovo Cimento, X. Series
29 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
23 Letters in Mathematical Physics
21 Foundations of Physics
20 Theoretical and Mathematical Physics
19 Physics Letters. A
17 Physics Letters. B
17 Reviews in Mathematical Physics
16 Annales Henri Poincaré
12 International Journal of Modern Physics A
11 General Relativity and Gravitation
11 Reviews of Modern Physics
10 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
9 Nuclear Physics. B. Proceedings Supplements
8 Journal of Geometry and Physics
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 International Journal of Modern Physics D
7 Proceedings of the Japan Academy
7 Il Nuovo Cimento, X. Series, A
6 Classical and Quantum Gravity
6 Journal of Statistical Physics
6 Linear Algebra and its Applications
6 Physical Review Letters
6 Bulletin of the American Mathematical Society
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Modern Physics Letters A
5 Physics Reports
5 Ukrainian Mathematical Journal
5 Transactions of the American Mathematical Society
5 Open Systems & Information Dynamics
5 New Journal of Physics
5 International Journal of Quantum Information
5 Journal of Physics A: Mathematical and Theoretical
4 Physica A
4 Synthese
4 Advances in Applied Clifford Algebras
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Physical Review D. Series III
4 Journal of Statistical Mechanics: Theory and Experiment
4 Quantum Studies: Mathematics and Foundations
3 Advances in Mathematics
3 Functional Analysis and its Applications
3 Journal of Soviet Mathematics
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Proceedings of the American Mathematical Society
3 Physica D
3 Bulletin of the American Mathematical Society. New Series
3 Doklady Mathematics
3 Erkenntnis
3 Quantum Information Processing
3 Advances in Mathematical Physics
2 International Journal of Modern Physics B
2 Archive for History of Exact Sciences
2 Journal of Computational Physics
2 Russian Mathematical Surveys
2 Fortschritte der Physik
2 Manuscripta Mathematica
2 Mathematische Annalen
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 Probability Theory and Related Fields
2 Expositiones Mathematicae
2 Applied and Computational Harmonic Analysis
2 Foundations of Science
2 Journal of Algebra and its Applications
2 International Journal of Geometric Methods in Modern Physics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Communications in Theoretical Physics
2 Special Matrices
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 European Journal of Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Chaos, Solitons and Fractals
1 Acta Mathematica
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 Automatica
1 Calcolo
...and 56 more Serials
all top 5

Cited in 59 Fields

730 Quantum theory (81-XX)
243 Functional analysis (46-XX)
123 Relativity and gravitational theory (83-XX)
90 Operator theory (47-XX)
69 Statistical mechanics, structure of matter (82-XX)
61 Partial differential equations (35-XX)
47 Differential geometry (53-XX)
47 Probability theory and stochastic processes (60-XX)
40 Topological groups, Lie groups (22-XX)
34 Global analysis, analysis on manifolds (58-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
26 Mechanics of particles and systems (70-XX)
21 Nonassociative rings and algebras (17-XX)
19 General and overarching topics; collections (00-XX)
19 History and biography (01-XX)
19 Dynamical systems and ergodic theory (37-XX)
18 Statistics (62-XX)
14 Measure and integration (28-XX)
13 Associative rings and algebras (16-XX)
13 Several complex variables and analytic spaces (32-XX)
12 Algebraic geometry (14-XX)
12 Group theory and generalizations (20-XX)
11 Mathematical logic and foundations (03-XX)
11 Optics, electromagnetic theory (78-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Information and communication theory, circuits (94-XX)
9 Number theory (11-XX)
9 Computer science (68-XX)
8 Ordinary differential equations (34-XX)
8 Abstract harmonic analysis (43-XX)
7 Special functions (33-XX)
6 Geometry (51-XX)
6 Manifolds and cell complexes (57-XX)
6 Fluid mechanics (76-XX)
5 Real functions (26-XX)
5 Integral transforms, operational calculus (44-XX)
4 Combinatorics (05-XX)
4 Commutative algebra (13-XX)
4 Functions of a complex variable (30-XX)
4 Difference and functional equations (39-XX)
4 Sequences, series, summability (40-XX)
4 Numerical analysis (65-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Field theory and polynomials (12-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Integral equations (45-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
2 Systems theory; control (93-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-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)

Citations by Year

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