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Daniel Kastler

Daniel Kastler (French: [kastlɛʁ]; 4 March 1926 – 4 July 2015)[1] was a French theoretical physicist, working on the foundations of quantum field theory and on non-commutative geometry.

Daniel Kastler
Daniel Kastler in 2006
Born(1926-03-04)4 March 1926
Died4 July 2015(2015-07-04) (aged 89)
Nationality (legal)French
Alma mater
Known for
AwardsAmpère Prize (1984)  
Scientific career
FieldsPhysics
Institutions

Biography edit

Daniel Kastler was born on March 4, 1926, in Colmar, a city of north-eastern France. He is the son of the Physics Nobel Prize laureate Alfred Kastler. In 1946 he enrolled at the École Normale Superieure in Paris. In 1950 he moved to Germany and became lecturer at the Saarland University.[2] In 1953, he was promoted to associate professor and obtained a doctorate in quantum chemistry. In 1957 Kastler moved to the University of Aix-Marseille and became a full professor in 1959. In 1968 he founded, together with Jean-Marie Souriau and Andrea Visconti, the Center of Theoretical Physics in Marseille.[3][4] Daniel Kastler died on July 8, 2015, in Bandol, in southern France.[5][6]

Daniel Kastler is known in particular for his work with Rudolf Haag on the foundation of the algebraic approach to quantum field theory. Their collaboration started at the famous Lille Conference in 1957, where both were present, and culminated in the Haag–Kastler axioms[7] for local observables of quantum field theories. This framework uses elements of the theory of operator algebras and is therefore referred to as algebraic quantum field theory or, from the physical point of view, as local quantum physics.[8] In other collaborations, Kastler showed the importance of C*-algebras in the foundations of quantum statistical mechanics and in abelian asymptotic systems.[9] In the 1980s he started working on Alain Connes' non-commutative geometry, especially studying the applications in elementary particle physics.[10] In the same period Kastler, in collaboration with Raymond Stora, developed the geometrical setting for the BRST transformations for the quantization of gauge theories.[11][12]

Honors and awards edit

In 1984 Daniel Kastler was awarded the Prix Ampère of the French Academy of Sciences.[13] Since 1977 he was a corresponding member of the Göttingen Academy of Sciences[14] and since 1981 of the Austrian Academy of Sciences.[15] Since 1995 he was a member of the German National Academy of Sciences Leopoldina.[16]

Selected publications edit

  • Haag, Rudolf; Kastler, Daniel (1964). "An Algebraic approach to quantum field theory". Journal of Mathematical Physics. 5 (7): 848–861. Bibcode:1964JMP.....5..848H. doi:10.1063/1.1704187.
  • Haag, Rudolf; Kastler, Daniel; Trych-Pohlmeyer, Ewa B. (1974). "Stability and equilibrium states". Communications in Mathematical Physics. 38 (3): 173–193. Bibcode:1974CMaPh..38..173H. doi:10.1007/BF01651541. S2CID 123017142.
  • Araki, Huzihiro; Kastler, Daniel; Takesaki, Masamichi; Haag, Rudolf (1977). "Extension of KMS States and Chemical Potential". Communications in Mathematical Physics. 53 (2): 97–134. Bibcode:1977CMaPh..53...97A. doi:10.1007/BF01609126. S2CID 122319446.
  • Kastler, Daniel (1995). "The Dirac operator and gravitation". Communications in Mathematical Physics. 166 (3): 633–644. Bibcode:1995CMaPh.166..633K. doi:10.1007/BF02099890. S2CID 119959800.
  • Kastler, Daniel (1993). "A Detailed account of Alain Connes' version of the Standard Model in noncommutative geometry. 1. and 2". Reviews in Mathematical Physics. 5 (3): 477–532. Bibcode:1993RvMaP...5..477K. doi:10.1142/S0129055X93000140.
  • Kastler, Daniel (1988). Cyclic cohomology within the differential envelope: an introduction to Alain Connes' non-commutative differential geometry. Hermann. ISBN 978-2705660444.
  • Kastler, Daniel (1960). Introduction à l'électrodynamique quantique. Dunod. ASIN B0019I06LU.
  • Kastler, Daniel; Stora, Raymond (1986). "A differential geometric setting for BRS transformations and anomalies. 1". Journal of Geometry and Physics. 3 (4): 437. Bibcode:1986JGP.....3..437K. doi:10.1016/0393-0440(86)90006-9.
  • Kastler, Daniel; Stora, Raymond (1986). "A differential geometric setting for BRS transformations and anomalies. 2". Journal of Geometry and Physics. 3 (4): 483–505. Bibcode:1986JGP.....3..483K. doi:10.1016/0393-0440(86)90007-0.

See also edit

References edit

  1. ^ "Décès de Daniel Kastler". smf.emath.fr (in French). Retrieved March 2, 2021.
  2. ^ Lazzarini, Serge; Martin, Thierry (2015). "Daniel Kastler 1926–2015" (PDF). CERN Courier. 55 (8): 40.
  3. ^ The center is known as Centre de Physique Théorique of Marseille.
  4. ^ Guichardet, Alain. "Quelques souvenirs sur Daniel Kastler (1926-2015)" (PDF). smf.emath.fr (in French). Retrieved March 2, 2021.
  5. ^ "Kastler obituary" (PDF). University of Aix-Marseille. 9 July 2015. Retrieved February 28, 2021.
  6. ^ Lazzarini, Serge; Martin, Thierry (2015). "Daniel Kastler (1926–2015)" (PDF). News Bulletin, International Association of Mathematical Physics: 27–28.
  7. ^ In the 2000s the original paper was one of the most cited papers in mathematical physics. Haag, Rudolf; Kastler, Daniel (1964). "An Algebraic approach to quantum field theory". Journal of Mathematical Physics. 5 (7): 848–861. Bibcode:1964JMP.....5..848H. doi:10.1063/1.1704187.
  8. ^ Haag, Rudolf (1996). Local quantum physics: Fields, particles, algebras (2 ed.). Springer-Verlag Berlin Heidelberg. doi:10.1007/978-3-642-61458-3. ISBN 978-3-540-61049-6.
  9. ^ Guichardet, Alain. "Daniel Kastler et les Systèmes dynamiques non commutatifs" (PDF). smf.emath.fr (in French). Retrieved March 2, 2021.
  10. ^ Connes, Alain (18 July 2015). "Daniel Kastler". noncommutativegeometry.blogspot.com. Retrieved March 2, 2021.
  11. ^ (PDF). La Gazette (in French) (146): 70–71. 2015. Archived from the original (PDF) on 2017-12-09.
  12. ^ Kastler, Daniel; Stora, Raymond (1986). "A differential geometric setting for BRS transformations and anomalies. 1". Journal of Geometry and Physics. 3 (4): 437. Bibcode:1986JGP.....3..437K. doi:10.1016/0393-0440(86)90006-9. Kastler, Daniel; Stora, Raymond (1986). "A differential geometric setting for BRS transformations and anomalies. 2". Journal of Geometry and Physics. 3 (4): 483–505. Bibcode:1986JGP.....3..483K. doi:10.1016/0393-0440(86)90007-0.
  13. ^ "40 ans du prix Ampère" (PDF). Académie des Sciences (in French). Retrieved February 28, 2021.
  14. ^ "Göttingen Academy of Sciences member page of Daniel Kastler". Göttingen Academy of Sciences (in German). Retrieved March 3, 2021. (:Unkn) Unknown (2011). Akademie der Wissenschaften zu Göttingen (ed.). Jahrbuch der Akademie der Wissenschaften zu Göttingen 2010 (in German). De Gruyter. doi:10.26015/adwdocs-386. ISBN 978-3110236767.
  15. ^ "Austrian Academy of Sciences member page of Daniel Kastler". Austrian Academy of Sciences. Retrieved February 28, 2021.
  16. ^ "German National Academy of Sciences Leopoldina member page of Daniel Kastler". German National Academy of Sciences Leopoldina. Retrieved February 28, 2021.

Further reading edit

  • Lazzarini, Serge; Martin, Thierry (2015). "Daniel Kastler (1926–2015)" (PDF). News Bulletin, International Association of Mathematical Physics: 27–28.
  • Lazzarini, Serge; Martin, Thierry (2015). "Daniel Kastler 1926–2015" (PDF). CERN Courier. 55 (8): 40.
  • (PDF). La Gazette (in French) (146): 70–71. 2015. Archived from the original (PDF) on 2017-12-09.
  • Guichardet, Alain. "Quelques souvenirs sur Daniel Kastler (1926-2015)" (PDF). smf.emath.fr (in French). Retrieved March 2, 2021.
  • Connes, Alain (18 July 2015). "Daniel Kastler". noncommutativegeometry.blogspot.com. Retrieved March 2, 2021.
  • Guichardet, Alain. "Daniel Kastler et les Systèmes dynamiques non commutatifs" (PDF). smf.emath.fr (in French). Retrieved March 2, 2021.
  • Jorgensen, Palle; Muhly, Paul S (1987). Operator algebras and mathematical physics. Vol. 62. American Mathematical Society. ISBN 978-0821850664.

External links edit

daniel, kastler, french, kastlɛʁ, march, 1926, july, 2015, french, theoretical, physicist, working, foundations, quantum, field, theory, commutative, geometry, 2006born, 1926, march, 1926colmar, francedied4, july, 2015, 2015, aged, bandol, francenationality, l. Daniel Kastler French kastlɛʁ 4 March 1926 4 July 2015 1 was a French theoretical physicist working on the foundations of quantum field theory and on non commutative geometry Daniel KastlerDaniel Kastler in 2006Born 1926 03 04 4 March 1926Colmar FranceDied4 July 2015 2015 07 04 aged 89 Bandol FranceNationality legal FrenchAlma materEcole Normale SuperieureSaarland UniversityKnown forHaag Kastler axiomsKadison Kastler metricAwardsAmpere Prize 1984 Scientific careerFieldsPhysicsInstitutionsSaarland UniversityAix Marseille University Contents 1 Biography 2 Honors and awards 3 Selected publications 4 See also 5 References 6 Further reading 7 External linksBiography editDaniel Kastler was born on March 4 1926 in Colmar a city of north eastern France He is the son of the Physics Nobel Prize laureate Alfred Kastler In 1946 he enrolled at the Ecole Normale Superieure in Paris In 1950 he moved to Germany and became lecturer at the Saarland University 2 In 1953 he was promoted to associate professor and obtained a doctorate in quantum chemistry In 1957 Kastler moved to the University of Aix Marseille and became a full professor in 1959 In 1968 he founded together with Jean Marie Souriau and Andrea Visconti the Center of Theoretical Physics in Marseille 3 4 Daniel Kastler died on July 8 2015 in Bandol in southern France 5 6 Daniel Kastler is known in particular for his work with Rudolf Haag on the foundation of the algebraic approach to quantum field theory Their collaboration started at the famous Lille Conference in 1957 where both were present and culminated in the Haag Kastler axioms 7 for local observables of quantum field theories This framework uses elements of the theory of operator algebras and is therefore referred to as algebraic quantum field theory or from the physical point of view as local quantum physics 8 In other collaborations Kastler showed the importance of C algebras in the foundations of quantum statistical mechanics and in abelian asymptotic systems 9 In the 1980s he started working on Alain Connes non commutative geometry especially studying the applications in elementary particle physics 10 In the same period Kastler in collaboration with Raymond Stora developed the geometrical setting for the BRST transformations for the quantization of gauge theories 11 12 Honors and awards editIn 1984 Daniel Kastler was awarded the Prix Ampere of the French Academy of Sciences 13 Since 1977 he was a corresponding member of the Gottingen Academy of Sciences 14 and since 1981 of the Austrian Academy of Sciences 15 Since 1995 he was a member of the German National Academy of Sciences Leopoldina 16 Selected publications editHaag Rudolf Kastler Daniel 1964 An Algebraic approach to quantum field theory Journal of Mathematical Physics 5 7 848 861 Bibcode 1964JMP 5 848H doi 10 1063 1 1704187 Haag Rudolf Kastler Daniel Trych Pohlmeyer Ewa B 1974 Stability and equilibrium states Communications in Mathematical Physics 38 3 173 193 Bibcode 1974CMaPh 38 173H doi 10 1007 BF01651541 S2CID 123017142 Araki Huzihiro Kastler Daniel Takesaki Masamichi Haag Rudolf 1977 Extension of KMS States and Chemical Potential Communications in Mathematical Physics 53 2 97 134 Bibcode 1977CMaPh 53 97A doi 10 1007 BF01609126 S2CID 122319446 Kastler Daniel 1995 The Dirac operator and gravitation Communications in Mathematical Physics 166 3 633 644 Bibcode 1995CMaPh 166 633K doi 10 1007 BF02099890 S2CID 119959800 Kastler Daniel 1993 A Detailed account of Alain Connes version of the Standard Model in noncommutative geometry 1 and 2 Reviews in Mathematical Physics 5 3 477 532 Bibcode 1993RvMaP 5 477K doi 10 1142 S0129055X93000140 Kastler Daniel 1988 Cyclic cohomology within the differential envelope an introduction to Alain Connes non commutative differential geometry Hermann ISBN 978 2705660444 Kastler Daniel 1960 Introduction a l electrodynamique quantique Dunod ASIN B0019I06LU Kastler Daniel Stora Raymond 1986 A differential geometric setting for BRS transformations and anomalies 1 Journal of Geometry and Physics 3 4 437 Bibcode 1986JGP 3 437K doi 10 1016 0393 0440 86 90006 9 Kastler Daniel Stora Raymond 1986 A differential geometric setting for BRS transformations and anomalies 2 Journal of Geometry and Physics 3 4 483 505 Bibcode 1986JGP 3 483K doi 10 1016 0393 0440 86 90007 0 See also edit nbsp Physics portal nbsp Biography portal Axiomatic quantum field theory Hilbert s sixth problem Kadison Kastler metric Local quantum physics Non commutative geometry Quantum field theoryReferences edit Deces de Daniel Kastler smf emath fr in French Retrieved March 2 2021 Lazzarini Serge Martin Thierry 2015 Daniel Kastler 1926 2015 PDF CERN Courier 55 8 40 The center is known as Centre de Physique Theorique of Marseille Guichardet Alain Quelques souvenirs sur Daniel Kastler 1926 2015 PDF smf emath fr in French Retrieved March 2 2021 Kastler obituary PDF University of Aix Marseille 9 July 2015 Retrieved February 28 2021 Lazzarini Serge Martin Thierry 2015 Daniel Kastler 1926 2015 PDF News Bulletin International Association of Mathematical Physics 27 28 In the 2000s the original paper was one of the most cited papers in mathematical physics Haag Rudolf Kastler Daniel 1964 An Algebraic approach to quantum field theory Journal of Mathematical Physics 5 7 848 861 Bibcode 1964JMP 5 848H doi 10 1063 1 1704187 Haag Rudolf 1996 Local quantum physics Fields particles algebras 2 ed Springer Verlag Berlin Heidelberg doi 10 1007 978 3 642 61458 3 ISBN 978 3 540 61049 6 Guichardet Alain Daniel Kastler et les Systemes dynamiques non commutatifs PDF smf emath fr in French Retrieved March 2 2021 Connes Alain 18 July 2015 Daniel Kastler noncommutativegeometry blogspot com Retrieved March 2 2021 Daniel Kastler 1926 2015 PDF La Gazette in French 146 70 71 2015 Archived from the original PDF on 2017 12 09 Kastler Daniel Stora Raymond 1986 A differential geometric setting for BRS transformations and anomalies 1 Journal of Geometry and Physics 3 4 437 Bibcode 1986JGP 3 437K doi 10 1016 0393 0440 86 90006 9 Kastler Daniel Stora Raymond 1986 A differential geometric setting for BRS transformations and anomalies 2 Journal of Geometry and Physics 3 4 483 505 Bibcode 1986JGP 3 483K doi 10 1016 0393 0440 86 90007 0 40 ans du prix Ampere PDF Academie des Sciences in French Retrieved February 28 2021 Gottingen Academy of Sciences member page of Daniel Kastler Gottingen Academy of Sciences in German Retrieved March 3 2021 Unkn Unknown 2011 Akademie der Wissenschaften zu Gottingen ed Jahrbuch der Akademie der Wissenschaften zu Gottingen 2010 in German De Gruyter doi 10 26015 adwdocs 386 ISBN 978 3110236767 Austrian Academy of Sciences member page of Daniel Kastler Austrian Academy of Sciences Retrieved February 28 2021 German National Academy of Sciences Leopoldina member page of Daniel Kastler German National Academy of Sciences Leopoldina Retrieved February 28 2021 Further reading editLazzarini Serge Martin Thierry 2015 Daniel Kastler 1926 2015 PDF News Bulletin International Association of Mathematical Physics 27 28 Lazzarini Serge Martin Thierry 2015 Daniel Kastler 1926 2015 PDF CERN Courier 55 8 40 Daniel Kastler 1926 2015 PDF La Gazette in French 146 70 71 2015 Archived from the original PDF on 2017 12 09 Guichardet Alain Quelques souvenirs sur Daniel Kastler 1926 2015 PDF smf emath fr in French Retrieved March 2 2021 Connes Alain 18 July 2015 Daniel Kastler noncommutativegeometry blogspot com Retrieved March 2 2021 Guichardet Alain Daniel Kastler et les Systemes dynamiques non commutatifs PDF smf emath fr in French Retrieved March 2 2021 Jorgensen Palle Muhly Paul S 1987 Operator algebras and mathematical physics Vol 62 American Mathematical Society ISBN 978 0821850664 External links edit nbsp Wikimedia Commons has media related to Daniel Kastler Daniel Kastler at zbMATH Literature by and about Daniel Kastler in the German National Library catalogue Kastler s genealogy at kastler net Retrieved from https en wikipedia org w index php title Daniel Kastler amp oldid 1222483695, wikipedia, wiki, book, books, library,

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