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Julian Schwinger

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2036: 905: 525:. During this time, Schwinger, who previously had already had the habit of working until late at night, went further and made the day/night switch more complete, working at night and sleeping during the day, a habit he would carry throughout his career. Schwinger later commented that this switch was in part a way to retain greater intellectual independence and avoid being "dominated" by Breit and Wigner by simply reducing the duration of contact with them by working different hours. 361: 780:. It treats quantum fields as long-distance phenomena and uses auxiliary 'sources' that resemble currents in classical field theories. The source theory is a mathematically consistent field theory with clearly derived phenomenological results. The criticisms by his Harvard colleagues led Schwinger to leave the faculty in 1972 for 792:, there found a pair of old shoes, with the implied message, "think you can fill these?" Based on Schwinger's source theory, Weinberg set the underpinnings of the effective field theory, that is more appreciated among physicists. In spite of the shoes incident, Weinberg gave the credit to Schwinger for the inspiration. 891:, while Schwinger was able to formally renormalize to one loop without an explicit regulator. Schwinger believed in the formalism of local fields, while Feynman had faith in the particle paths. They followed each other's work closely, and each respected the other. On Feynman's death, Schwinger described him as 578:
from his radar work, and he used these methods to formulate quantum field theory in terms of local Green's functions in a relativistically invariant way. This allowed him to calculate unambiguously the first corrections to the electron magnetic moment in quantum electrodynamics. Earlier non-covariant
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after their refusal to publish his papers. He felt that cold fusion research was being suppressed and academic freedom violated. He wrote, "The pressure for conformity is enormous. I have experienced it in editors' rejection of submitted papers, based on venomous criticism of anonymous referees. The
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Schwinger disliked Feynman diagrams because he felt that they made the student focus on the particles and forget about local fields, which in his view inhibited understanding. He went so far as to ban them altogether from his class, although he understood them perfectly well. The true difference is
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who he knew at Columbia for help. Rabi also immediately recognized Schwinger's capabilities on their first meeting, and then made arrangements to award Schwinger with a scholarship to study at Columbia. At first Julian's bad grades in some subjects at CCNY prevented the scholarship award. But Rabi
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In the fall of 1934, Schwinger entered the City College of New York as an undergraduate. CCNY automatically accepted all Townsend Harris graduates at the time, and both institutions offered free tuition. Due to his intense interest in physics and mathematics, Julian performed very well in those
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During Schwinger's graduate studies, Rabi felt that it would be good for Julian to visit other institutions around the country, and Julian was awarded a travelling fellowship for the year 37/38 which he spent at working with
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subjects despite often skipping classes and learning directly from books. On the other hand, his lack of interest for other topics such as English led to academic conflicts with teachers of those subjects.
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At UCLA, and for the rest of his career, Schwinger continued to develop the source theory and its various applications. After 1989 Schwinger took a keen interest in the non-mainstream research of
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as a long-distance quantum radiative phenomenon associated not with atoms, but with fast-moving surfaces in the collapsing bubble, where there are discontinuities in the dielectric constant. The
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Schwinger had a mixed relationship with his colleagues, because he always pursued independent research, different from mainstream fashion. In particular, Schwinger developed the
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model, and the first example of confinement in 1+1 dimensions. He is responsible for the theory of multiple neutrinos, Schwinger terms, and the theory of the spin-3/2 field.
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An honest man, the outstanding intuitionist of our age, and a prime example of what may lie in store for anyone who dares to follow the beat of a different drum.
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Despite sharing the Nobel Prize, Schwinger and Feynman had a different approach to quantum electrodynamics and to quantum field theory in general. Feynman used a
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Having supervised 73 doctoral dissertations, Schwinger is known as one of the most prolific graduate advisors in physics. Four of his students won Nobel prizes:
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Eventually, these ideas led to Lagrangian or action formulations of quantum mechanics, appearing in two distinct but related forms, which I distinguish as
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to the United States. Both his father and his mother's parents were prosperous clothing manufacturers, although the family business declined after the
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Schwinger is recognized as one of the greatest physicists of the twentieth century, responsible for much of modern quantum field theory, including a
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in an electric field, a process now known as the "Schwinger effect." This effect could not be seen in any finite order in perturbation theory.
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at the time. Lloyd made the acquaintance, and soon recognized Julian's talent. Noticing Schwinger's academic problems, Lloyd decided to ask
3869: 1264:(September 15, 1949). "Quantum Electrodynamics. III. The Electromagnetic Properties of the Electron—Radiative Corrections to Scattering". 3904: 3879: 989: 579:
work had arrived at infinite answers, but the extra symmetry in his methods allowed Schwinger to isolate the correct finite corrections.
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from 1932 to 1934, a highly regarded high school for gifted students at the time. During high school, Julian had already started reading
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Revised version published as (2007) "Julian Schwinger: From Nuclear Physics and Quantum Electrodynamics to Source Theory and Beyond,"
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Milton, Kimball (2007). "Julian Schwinger: Nuclear Physics, the Radiation Laboratory, Renormalized QED, Source Theory, and Beyond".
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Schwinger's foundational work on quantum field theory constructed the modern framework of field correlation functions and their
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into the accepted pattern of electroweak unification. He attempted to formulate a theory of quantum electrodynamics with point
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is required, and Schwinger later regretted that he had not followed up on this work far enough to discover supersymmetry.
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tradition. Julian's older brother Harold Schwinger was born in 1911, seven years before Julian who was born in 1918.
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In the same era, he introduced non-perturbative methods into quantum field theory, by calculating the rate at which
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After Julian had joined CCNY, his brother Harold, who had previously graduated from CCNY, asked his ex-classmate
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Like the silicon chips of more recent years, the Feynman diagram was bringing computation to the masses.
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and allowed bosons and fermions to be treated equally for the first time, using a differential form of
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As a famous physicist, Schwinger was often compared to another legendary physicist of his generation,
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now supported by experiments focuses on superheated gas inside the bubble as the source of the light.
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parents, Belle (née Rosenfeld) and Benjamin Schwinger, a garment manufacturer, who had emigrated from
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Schwinger, J. (1983) "Renormalization Theory of Quantum Electrodynamics: An Individual View", in
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After having worked with Oppenheimer, Schwinger's first regular academic appointment was at
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Brenner, M. P.; Hilgenfeldt, S.; Lohse, D. (2002). "Single-bubble sonoluminescence".
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Schwinger, J. (1973). "A report on quantum electrodynamics". In J. Mehra (ed.),
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replacement of impartial reviewing by censorship will be the death of science."
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The headstone of Julian Schwinger at Mt. Auburn Cemetery in Cambridge, MA.
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theory of the spin-3/2 field in a concrete form, as a vector of Dirac spinors,
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to "get to know ". Lloyd was a CCNY physics instructor and Ph.D. candidate at
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however deeper, and it was expressed by Schwinger in the following passage,
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during World War II. He provided theoretical support for the development of
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Electromagnetic Radiation: Variational Methods, Waveguides and Accelerators
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In other notable early work, Rarita and Schwinger formulated the abstract
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In the 1960s, Schwinger formulated and analyzed what is now known as the
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Schwinger obtained his PhD overseen by Rabi in 1939 at the age of 21.
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QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga
1086:"On Quantum-Electrodynamics and the Magnetic Moment of the Electron" 2606: 1896:
Climbing the Mountain: the scientific biography of Julian Schwinger
1882:; "A Path to Quantum Electrodynamics," Physics Today, February 1989 1695:
Climbing the Mountain: The Scientific Biography of Julian Schwinger
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Climbing the mountain: the scientific biography of Julian Schwinger
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in 1965 for his work on quantum electrodynamics (QED), along with
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correction ("anomalous") to the magnetic moment of the electron
449: 249: 1764:"Golden Plate Awardees of the American Academy of Achievement" 799:. He wrote eight theory papers about it. He resigned from the 396: 564: 106: 97: 1341:(June 1951). "On Gauge Invariance and Vacuum Polarization". 30: 2097: 663: 393: 368:. Original caption: "His laboratory is his ballpoint pen." 133: 1998:
Julian Seymour Schwinger (2000), Kimball A. Milton (ed.),
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Julian Schwinger: The Physicist, the Teacher, and the Man
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In his last publications, Schwinger proposed a theory of
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During the fall of 1939 Schwinger started working at the
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Julian Seymour Schwinger was born in New York City, to
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in 1941. While on leave from Purdue, he worked at the
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Physica A: Statistical Mechanics and Its Applications
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Columbia Graduate School of Arts and Sciences alumni
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A quantum legacy: seminal papers of Julian Schwinger
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A Quantum Legacy: Seminal Papers of Julian Schwinger
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at long distances. This was extended by his student
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gauge group spontaneously broken to electromagnetic
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Schwinger was a precocious student. He attended the
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Quantum Mechanics: Symbolism of Atomic Measurements
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Part 3" 1111: 3930:Fellows of the American Physical Society 3855:American people of Polish-Jewish descent 1956: 1635: 1558: 1546: 1534: 1522: 1510: 1498: 1403:, Nuclear Development Associates, Inc., 1005: 945:{\displaystyle {\frac {\alpha }{2\pi }}} 903: 849: 658:come in multiple varieties, one for the 439: 359: 2057:MacTutor History of Mathematics Archive 1863: 513:society and received his B.A. in 1936. 3822: 1901: 1827:, Cambridge University Press, p. 329. 539:, where he stayed for two years as an 256:On the magnetic scattering of neutrons 3582: 2071: 1845:The Physicist's Conception of Nature. 1465: 1027:, 2nd ed, Taylor & Francis, 2024. 1000:List of textbooks in electromagnetism 364:Julian Schwinger, winner of the 1965 239:University of California, Los Angeles 231:Massachusetts Institute of Technology 1866:"Dr. Richard P. Feynman (1918–1988)" 1474:. Oxford University Press. pp.  1416:"The Theory of Quantized Fields. II" 574:Schwinger developed an affinity for 3870:National Medal of Science laureates 412:. He is best known for his work on 13: 3905:Townsend Harris High School alumni 3880:Columbia College (New York) alumni 1888: 1636:Weinberg, Steven (April 1, 1979). 1443:United States Department of Energy 1424:United States Department of Energy 1405:United States Department of Energy 1328:United States Department of Energy 818:Schwinger was jointly awarded the 784:. It is a story widely told that 533:University of California, Berkeley 223:University of California, Berkeley 14: 3941: 2041:Relativistic Quantum Field Theory 2024: 620:. He gave elegant proofs for the 590:unambiguously to one-loop order. 3920:Scientists from New York (state) 3900:Burials at Mount Auburn Cemetery 3860:20th-century American physicists 1872:from the original on May 7, 2007 1791:Le Journal de Physique Colloques 1445:(through predecessor agency the 1426:(through predecessor agency the 1407:(through predecessor agency the 1330:(through predecessor agency the 377: 3850:American theoretical physicists 1986:. Singapore: World Scientific. 1857: 1837: 1817: 1778: 1772:American Academy of Achievement 1756: 1678: 1629: 1608:Particles, Sources, and Fields. 1053:Quantum Kinematics and Dynamics 844:American Academy of Achievement 1968:. Princeton University Press. 1639:"Phenomenological Lagrangians" 1600: 1564: 1459: 1046:Particles, Sources, and Fields 995:List of Jewish Nobel laureates 729: 723: 700: 694: 612:. His approach started with a 561:Los Alamos National Laboratory 1: 1825:The Birth of Particle Physics 1626:, Reading, MA: Addison-Wesley 1572:"Julian Schwinger Foundation" 1453: 1067:Discontinuities in Waveguides 813:mechanism of sonoluminescence 3915:American particle physicists 1664:10.1016/0378-4371(79)90223-1 1322:, Computation Laboratory of 840:National Academy of Sciences 434: 7: 3925:American quantum physicists 983: 465:Townsend Harris High School 10: 3946: 3885:Harvard University faculty 3865:Jewish American physicists 3840:Nobel laureates in Physics 1898:. Oxford University Press. 1069:, Gordon and Breach, 1968. 654:Schwinger discovered that 473:papers by authors such as 456:. The family followed the 130:Cavity perturbation theory 3890:Purdue University faculty 3747: 3716: 3685: 3661: 3637: 3618: 3219: 2876: 2565: 2343: 2109: 1934:10.1007/s00016-007-0326-6 1750:10.1103/RevModPhys.74.425 1720:Reviews of Modern Physics 1025:Classical Electrodynamics 1020:, World Scientific, 2000. 881:differential and integral 836:National Medal of Science 801:American Physical Society 645:Rarita–Schwinger equation 546: 454:Wall Street Crash of 1929 352: 278: 266: 248: 218: 210: 203: 187:National Medal of Science 174: 163: 117: 89: 66: 40: 28: 21: 3845:American Nobel laureates 2062:University of St Andrews 1982:Ng, Y. Jack, ed. (1996) 1811:10.1051/jphyscol:1982826 1447:Atomic Energy Commission 1428:Atomic Energy Commission 1409:Atomic Energy Commission 1332:Atomic Energy Commission 1030:Milton KA, Schwinger J, 1023:Milton KA, Schwinger J, 899: 557:MIT Radiation Laboratory 505:written by Schwinger to 479:City College of New York 373:Julian Seymour Schwinger 94:City College of New York 45:Julian Seymour Schwinger 1690:Oxford University Press 1466:Mehra, Jagdish (2000). 1172:10.1103/PHYSREV.74.1439 1065:Schwinger J, Saxon DS, 974:fine structure constant 965:{\displaystyle \alpha } 622:spin-statistics theorem 588:quantum electrodynamics 503:quantum electrodynamics 414:quantum electrodynamics 150:Mutually unbiased bases 142:MacMahon Master theorem 138:Spin–statistics theorem 126:Electroweak interaction 122:Quantum electrodynamics 3753:Nobel Prize recipients 3718:Physiology or Medicine 2103:Nobel Prize in Physics 1948:Physics in Perspective 1904:Physics in Perspective 1785:Schwinger, J. (1982). 1365:10.1103/PHYSREV.82.664 1288:10.1103/PHYSREV.76.790 1230:10.1103/PHYSREV.75.651 1113:10.1103/PHYSREV.73.416 966: 946: 909: 897: 885: 872: 820:Nobel Prize in Physics 778:effective field theory 759:Benjamin Roy Mottelson 736: 707: 477:in the library of the 369: 366:Nobel Prize in Physics 343:Charles M. Sommerfield 194:Nobel Prize in Physics 3628:Robert Burns Woodward 1411:) (January 26, 1952). 1397:"On Angular Momentum" 1006:Selected publications 967: 947: 918:Mount Auburn Cemetery 907: 893: 877: 868: 850:Schwinger and Feynman 832:Albert Einstein Award 737: 708: 706:{\displaystyle SU(2)} 601:pairs are created by 537:J. Robert Oppenheimer 440:Early life and career 410:theoretical physicist 363: 331:Lawrence Paul Horwitz 243:University of Chicago 180:Albert Einstein Award 170:(m. 1947) (1917-2011) 2048:Robertson, Edmund F. 1048:, 3 vols, CRC, 2018. 956: 924: 860:quantum field theory 828:Shin'ichirƍ Tomonaga 735:{\displaystyle U(1)} 717: 685: 618:Grassman integration 582:Schwinger developed 425:variational approach 347:Kenneth Alan Johnson 335:Margaret G. Kivelson 214:Quantum field theory 2046:O'Connor, John J.; 2008:2000qlsp.book.....K 1958:Schweber, Silvan S. 1926:2007PhP.....9...70M 1847:Dordrecht: Reidel. 1803:1982JPhys..43C.409S 1768:www.achievement.org 1732:2002RvMP...74..425B 1656:1979PhyA...96..327W 1537:, pp. 277–279. 1525:, pp. 278–279. 1357:1951PhRv...82..664S 1280:1949PhRv...76..790S 1222:1949PhRv...75..651S 1164:1948PhRv...74.1439S 1104:1948PhRv...73..416S 610:equations of motion 494:Columbia University 418:perturbation theory 103:Columbia University 3732:AndrĂ© Michel Lwoff 3695:Sin-Itiro Tomonaga 2052:"Julian Schwinger" 2033:on Nobelprize.org 1439:Harvard University 1420:Harvard University 1401:Harvard University 1334:) (November 1949). 1324:Harvard University 962: 942: 916:. He is buried at 912:Schwinger died of 910: 748:magnetic monopoles 732: 703: 569:Harvard University 559:instead of at the 408:-winning American 370: 235:Harvard University 3817: 3816: 3652:Mikhail Sholokhov 3576: 3575: 2017:978-981-02-4006-6 1975:978-0-691-03327-3 1853:978-94-010-2602-4 1705:978-0-19-850658-4 1588:on March 26, 2016 1485:978-0-19-850658-4 1158:(10): 1439–1461. 1084:(February 1948). 1062:, Springer, 2001. 1055:, Westview, 2000. 1034:, Springer, 2006. 940: 914:pancreatic cancer 834:(1951), the U.S. 576:Green's functions 553:Purdue University 498:Isidor Isaac Rabi 356: 355: 279:Doctoral students 273:Isidor Isaac Rabi 227:Purdue University 205:Scientific career 198: 191: 184: 154:Keldysh formalism 55:February 12, 1918 35:Schwinger in 1965 3937: 3755: 3701:Julian Schwinger 3603: 3596: 3589: 3580: 3579: 3569: 3553: 3537: 3521: 3505: 3489: 3473: 3457: 3441: 3429: 3413: 3401: 3389: 3373: 3361: 3345: 3329: 3317: 3305: 3289: 3273: 3257: 3241: 3212: 3196: 3184: 3168: 3152: 3136: 3124: 3112: 3100: 3092: 3084: 3068: 3052: 3036: 3024: 3008: 3000: 2988: 2976: 2968: 2952: 2940: 2924: 2908: 2892: 2869: 2853: 2841: 2825: 2809: 2801: 2789: 2781: 2773: 2765: 2757: 2741: 2725: 2709: 2701: 2689: 2681: 2669: 2653: 2641: 2625: 2613: 2601: 2593: 2581: 2558: 2550: 2542: 2534: 2526: 2518: 2510: 2502: 2494: 2493: 2487: 2486: 2480: 2479: 2473: 2465: 2457: 2445: 2433: 2425: 2424: 2418: 2406: 2398: 2397: 2391: 2383: 2375: 2367: 2355: 2336: 2324: 2316: 2308: 2300: 2292: 2284: 2276: 2268: 2260: 2259: 2253: 2241: 2233: 2231:Kamerlingh Onnes 2225: 2217: 2209: 2201: 2189: 2181: 2173: 2165: 2157: 2149: 2133: 2121: 2092: 2085: 2078: 2069: 2068: 2064: 2038: 2031:Julian Schwinger 2020: 1979: 1967: 1945: 1919: 1883: 1881: 1879: 1877: 1861: 1855: 1841: 1835: 1821: 1815: 1814: 1782: 1776: 1775: 1760: 1754: 1753: 1743: 1715: 1709: 1708: 1682: 1676: 1675: 1641: 1633: 1627: 1618:, Vol. 2 (1973) 1606:Schwinger, J.S. 1604: 1598: 1597: 1595: 1593: 1587: 1581:. 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W. Anderson 2893: 2880: 2878: 2874: 2873: 2871: 2870: 2854: 2842: 2826: 2810: 2802: 2790: 2782: 2774: 2766: 2758: 2742: 2726: 2719:Goeppert Mayer 2710: 2702: 2690: 2682: 2670: 2654: 2642: 2626: 2614: 2602: 2594: 2582: 2569: 2567: 2563: 2562: 2560: 2559: 2551: 2543: 2535: 2527: 2519: 2511: 2503: 2495: 2488: 2481: 2474: 2466: 2458: 2446: 2443:C. D. Anderson 2434: 2426: 2419: 2407: 2399: 2392: 2384: 2376: 2368: 2356: 2347: 2345: 2341: 2340: 2338: 2337: 2325: 2317: 2309: 2301: 2293: 2285: 2277: 2269: 2261: 2254: 2242: 2234: 2226: 2218: 2210: 2202: 2190: 2182: 2174: 2166: 2158: 2150: 2134: 2122: 2113: 2111: 2107: 2106: 2095: 2094: 2087: 2080: 2072: 2066: 2065: 2043: 2026: 2025:External links 2023: 2022: 2021: 2016: 1995: 1980: 1974: 1954: 1899: 1890: 1887: 1885: 1884: 1868:. amasci.com. 1856: 1836: 1816: 1777: 1755: 1726:(2): 425–484. 1710: 1704: 1677: 1650:(1): 327–340. 1628: 1610:Vol. 1 (1970) 1599: 1563: 1561:, p. 288. 1551: 1549:, p. 285. 1539: 1527: 1515: 1513:, p. 276. 1503: 1501:, p. 275. 1491: 1484: 1457: 1455: 1452: 1451: 1450: 1433:Schwinger, J. 1431: 1414:Schwinger, J. 1412: 1395:Schwinger, J. 1393: 1351:(5): 664–679. 1335: 1316: 1274:(6): 790–817. 1258: 1216:(4): 651–679. 1200: 1142: 1098:(4): 416–417. 1071: 1070: 1063: 1056: 1049: 1042: 1041:, Dover, 2002. 1035: 1028: 1021: 1007: 1004: 1003: 1002: 997: 992: 985: 982: 961: 938: 935: 931: 901: 898: 851: 848: 731: 728: 725: 722: 702: 699: 696: 693: 690: 614:quantum action 586:, formulating 548: 545: 511:Phi Beta Kappa 441: 438: 436: 433: 354: 353: 350: 349: 280: 276: 275: 270: 264: 263: 252: 246: 245: 220: 216: 215: 212: 208: 207: 201: 200: 176: 172: 171: 168:Clarice Carrol 165: 161: 160: 119: 118:Known for 115: 114: 91: 87: 86: 76: 74:(aged 76) 68: 64: 63: 57: 44: 42: 38: 37: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 3942: 3931: 3928: 3926: 3923: 3921: 3918: 3916: 3913: 3911: 3908: 3906: 3903: 3901: 3898: 3896: 3893: 3891: 3888: 3886: 3883: 3881: 3878: 3876: 3873: 3871: 3868: 3866: 3863: 3861: 3858: 3856: 3853: 3851: 3848: 3846: 3843: 3841: 3838: 3836: 3833: 3831: 3828: 3827: 3825: 3810: 3807: 3805: 3802: 3800: 3797: 3795: 3792: 3790: 3787: 3785: 3782: 3780: 3777: 3775: 3772: 3770: 3767: 3765: 3762: 3760: 3757: 3754: 3750: 3749: 3746: 3739: 3738:Jacques Monod 3736: 3733: 3730: 3727: 3724: 3723: 3721: 3719: 3715: 3708: 3705: 3702: 3699: 3696: 3693: 3692: 3690: 3688: 3684: 3677: 3674: 3673: 3671: 3668: 3664: 3660: 3653: 3650: 3649: 3647: 3644: 3640: 3636: 3629: 3626: 3625: 3623: 3621: 3617: 3612: 3604: 3599: 3597: 3592: 3590: 3585: 3584: 3581: 3568: 3564: 3560: 3555: 3552: 3548: 3544: 3539: 3536: 3532: 3528: 3523: 3520: 3516: 3512: 3507: 3504: 3500: 3496: 3491: 3488: 3484: 3480: 3475: 3472: 3468: 3464: 3459: 3456: 3452: 3448: 3443: 3440: 3436: 3431: 3428: 3424: 3420: 3415: 3412: 3408: 3403: 3400: 3396: 3391: 3388: 3384: 3380: 3375: 3372: 3368: 3363: 3360: 3356: 3352: 3347: 3344: 3340: 3336: 3331: 3328: 3324: 3319: 3316: 3312: 3307: 3304: 3300: 3296: 3291: 3288: 3284: 3280: 3275: 3272: 3268: 3264: 3259: 3256: 3252: 3248: 3243: 3240: 3236: 3232: 3227: 3226: 3224: 3218: 3211: 3207: 3203: 3198: 3195: 3191: 3186: 3183: 3179: 3175: 3170: 3167: 3163: 3159: 3154: 3151: 3150:R. Richardson 3147: 3143: 3138: 3135: 3131: 3126: 3123: 3119: 3114: 3111: 3107: 3102: 3099: 3094: 3091: 3086: 3083: 3079: 3075: 3070: 3067: 3063: 3059: 3054: 3051: 3047: 3043: 3038: 3035: 3031: 3026: 3023: 3019: 3015: 3010: 3007: 3002: 2999: 2995: 2990: 2987: 2983: 2982:Chandrasekhar 2978: 2975: 2970: 2967: 2963: 2959: 2954: 2951: 2947: 2942: 2939: 2935: 2931: 2926: 2923: 2919: 2915: 2910: 2907: 2903: 2899: 2894: 2891: 2887: 2882: 2881: 2879: 2875: 2868: 2864: 2860: 2855: 2852: 2848: 2843: 2840: 2836: 2832: 2827: 2824: 2820: 2816: 2811: 2808: 2803: 2800: 2796: 2791: 2788: 2783: 2780: 2775: 2772: 2767: 2764: 2759: 2756: 2752: 2748: 2743: 2740: 2736: 2732: 2727: 2724: 2720: 2716: 2711: 2708: 2703: 2700: 2696: 2691: 2688: 2683: 2680: 2676: 2671: 2668: 2664: 2660: 2655: 2652: 2648: 2643: 2640: 2636: 2632: 2627: 2624: 2620: 2615: 2612: 2608: 2603: 2600: 2595: 2592: 2588: 2583: 2580: 2576: 2571: 2570: 2568: 2564: 2557: 2552: 2549: 2544: 2541: 2536: 2533: 2528: 2525: 2520: 2517: 2512: 2509: 2504: 2501: 2496: 2489: 2482: 2475: 2472: 2467: 2464: 2459: 2456: 2455:G. 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Index


New York City
Los Angeles
California
City College of New York
BA
Columbia University
BA
PhD
Quantum electrodynamics
Electroweak interaction
Cavity perturbation theory
Dyon
Spin–statistics theorem
MacMahon Master theorem
Source theory
Mutually unbiased bases
Keldysh formalism
List of things named after Julian Schwinger
Clarice Carrol
Albert Einstein Award
National Medal of Science
Nobel Prize in Physics
University of California, Berkeley
Purdue University
Massachusetts Institute of Technology
Harvard University
University of California, Los Angeles
University of Chicago
Thesis

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