447:. The award citation stated that he won "for developing the theory of PT symmetry in quantum systems and sustained seminal contributions that have generated profound and creative new mathematics, impacted broad areas of experimental physics, and inspired generations of mathematical physicists."
334:
team, which had many top-five performances under his leadership. He also chaired the Arthur Holly
Compton Fellowship in the Physical Sciences and Mathematics selection committee, which distributes over $ 1.2 million in scholarships to prospective undergraduates each year. Bender has often given
242:
When I was in high school, my physics teacher—whose name was Mr. Bader—called me down one day after physics class and said, 'You look bored; I want to tell you something interesting.' Then he told me something which I found absolutely fascinating, and have, since then, always found fascinating.
371:
for theoretical physics. He made numerous advances on these topics, including the elucidation of divergences due to Bender-Wu singularities, the development of novel perturbative and nonperturbative techniques, and pioneering the use of the delta expansion. His book with
229:
I took my first physics course in High School. That instructor showed unlimited patience in answering my endless questions about atomic physics, after the class period was over. Although I try, I cannot live up to that lofty standard.
835:
329:
In 1976, Bender won the MIT Graduate
Student Council Teaching Award, and in 1983 he won the Gargoyle Award for teaching undergraduates at Washington University. Bender coached the Washington University
1125:
225:
Bender has a storied family history in physics. His father, Alfred Bender, taught physics to Julian
Schwinger at Townsend Harris High School. Schwinger wrote of Alfred Bender:
417:
1110:
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as "simply the best book in applied mathematics". In 1998, he and his graduate student Stefan
Boettcher discovered the importance of parity-time (PT) symmetry in
1115:
843:
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461:
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413:
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Schwinger and
Feynman, along with Tomonaga, would go on to share the same Nobel Prize in 1965 for their work in Quantum Electro Dynamics (QED).
1049:
436:
331:
84:
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654:
Milton, Kimball A. (2007). "In
Appreciation Julian Schwinger: From Nuclear Physics and Quantum Electrodynamics to Source Theory and Beyond".
314:
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737:
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895:
1016:
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301:, where he is the Wilfred R. and Ann Lee Konneker Distinguished Professor of Physics. He has been a scientific consultant for
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130:
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978:"Carl Bender becomes the inaugural Konneker Distinguished Professor | The Source | Washington University in St. Louis"
836:"Washington University|Honorary Scholars Program | Undergraduate Admissions | Washington University in St. Louis"
367:
Bender has published over 340 articles on physics, mathematics, and geysers. Bender initially focused his research on
359:. He is an expert on lower-dimensional quantum field theories, which he refers to as "country-style quantum physics".
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864:
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72:
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444:
99:
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68:
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in 2003 for his work in lower-dimensional quantum field theory. In 1978 he was elected as a Fellow of the
293:
Mathematics
Department in 1970, where he was assistant and then associate professor. In 1977, he moved to
282:. He also took many classes from his father's pupil, Julian Schwinger. He was a visiting scholar at the
306:
463:
Advanced
Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory
476:
Carl M Bender and Stefan
Boettcher, "Real Spectra in non-Hermitian Hamiltonians Having PT Symmetry,"
440:
405:
318:
310:
188:
209:. At the turn of the millennium, Bender discovered the importance of parity-time (PT) symmetry in
192:
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Bender's career has been marked by a number of major academic achievements and honors. He won a
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since 1979 and has also held joint and/or visiting positions at
Imperial College London,
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179:. He currently holds the Wilfred R. and Ann Lee Konneker Distinguished Professorship of
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In 2017, Professor Bender won one of the highest honors in mathematical physics, the
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619:"PT symmetry in quantum physics: from mathematical curiosity to optical experiments"
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In a remarkable coincidence, Alfred's first cousin, Abram Bader, taught physics to
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708:"The Feynman Lectures on Physics Vol. II Ch. 19: The Principle of Least Action"
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and as visiting professor of applied mathematics and mathematical physics at
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and with Distinction in All Subjects and was elected to residence in the
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quantum theory, which led to advances in many applied disciplines.
197:
Bender achieved initial prominence in the sciences for his work on
812:"Research Guides: WU History FAQ: Putnam Mathematical Competition"
274:
in 1965 and 1969, respectively, where he trained under physicists
352:
180:
1126:
Massachusetts Institute of Technology School of Science faculty
214:
213:. His work influenced major advances in physics, particularly
486:
Carl M Bender, "Making Sense of Non-Hermitian Hamiltonians,"
187:. He also has joint positions as professor of physics at the
382:
Advanced Mathematical Methods for Scientists and Engineers
270:
honoraries. He earned his M.A. and Ph.D in physics from
959:
All Fellows - John Simon Guggenheim Memorial Foundation
778:
Institute for Advanced Study: A Community of Scholars
238:
at Far Rockaway High School. Feynman wrote of Bader:
1111:
Harvard Graduate School of Arts and Sciences alumni
1151:Washington University in St. Louis mathematicians
582:"Exceptional points make for exceptional sensors"
1082:
1116:Institute for Advanced Study visiting scholars
939:University of Illinois - Department of Physics
498:PT Symmetry: In Quantum and Classical Physics,
437:Dannie Heineman Prize for Mathematical Physics
85:Dannie Heineman Prize for Mathematical Physics
1146:Washington University in St. Louis physicists
335:public talks on a number of areas including
500:World Scientific Publishing Company, 2018,
289:Bender obtained a faculty position in the
667:
638:
601:
1161:Fellows of the American Physical Society
1038:Carl Bender | Department of Physics
735:Bender mixes humor with math and physics
1083:
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894:: CS1 maint: archived copy as title (
809:
653:
616:
579:
250:Bender received his B.A. in 1964 from
291:Massachusetts Institute of Technology
131:Massachusetts Institute of Technology
1131:20th-century American mathematicians
797:"MIT Mathematics Department Faculty"
564:"Research Program of Carl M. Bender"
557:
555:
530:
528:
526:
524:
522:
520:
412:. In 2007 Professor Bender held the
408:, and he is also a fellow of the UK
262:. There, he also became a member of
16:American mathematician and physicist
1166:Fellows of the Institute of Physics
754:"Physics Tree - Carl Martin Bender"
580:Miller, Johanna L. (October 2017).
13:
561:
439:, which is jointly awarded by the
384:, was once described by physicist
185:Washington University in St. Louis
14:
1182:
1069:
1021:faculty-teaching.artsci.wustl.edu
746:
722:"The Nobel Prize in Physics 1965"
610:
573:
552:
517:
1156:Fellows of King's College London
1141:Scientists from New York (state)
1121:American mathematical physicists
1101:21st-century American physicists
1042:
1031:
1009:
995:
970:
952:
926:
910:"Carl M. Bender's Publications"
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857:
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73:Non-Hermitian quantum mechanics
1003:"Center for Nonlinear Studies"
728:
714:
700:
647:
488:Reports on Progress in Physics
432:(visiting professor) in 1995.
422:Los Alamos National Laboratory
332:Putnam mathematics competition
303:Los Alamos National Laboratory
1:
511:
445:American Institute of Physics
211:non-Hermitian quantum systems
100:Academy of Science, St. Louis
418:Center for Nonlinear Studies
284:Institute for Advanced Study
220:
7:
1171:American quantum physicists
617:Bender, Carl (April 2016).
362:
324:
171:(born 1943) is an American
10:
1187:
376:on asymptotic methods and
1106:Cornell University alumni
686:10.1007/s00016-007-0326-6
441:American Physical Society
406:American Physical Society
395:
307:City University of London
193:Imperial College, London.
162:
152:
136:
122:
115:
80:
64:
44:
36:
28:
21:
1136:Scientists from Missouri
536:"Carl M. Bender's Vitae"
450:
319:University of Heidelberg
189:University of Heidelberg
69:Bender–Dunne polynomials
478:Physical Review Letters
964:June 22, 2011, at the
740:June 17, 2010, at the
656:Physics in Perspective
588:. 10, 23 (10): 23–26.
245:
232:
177:mathematical physicist
810:Rectenwald, Miranda.
430:Lady Davis Fellowship
402:Guggenheim Fellowship
369:approximation methods
311:King's College London
295:Washington University
254:, where he graduated
240:
227:
173:applied mathematician
127:Washington University
92:Guggenheim Fellowship
840:admissions.wustl.edu
625:. 47, 2 (2): 17–20.
426:Fulbright Fellowship
410:Institute of Physics
341:quantum field theory
207:quantum field theory
107:Fulbright Fellowship
933:Goldenfeld, Nigel.
816:libguides.wustl.edu
678:2007PhP.....9...70M
640:10.1051/epn/2016201
631:2016ENews..47b..17B
594:2017PhT....70j..23M
378:perturbation theory
357:theoretical physics
783:2013-01-06 at the
466:, Springer, 1999,
424:. He received the
351:, the rumbling of
272:Harvard University
252:Cornell University
56:Cornell University
49:Harvard University
1050:"Prize Recipient"
914:physics.wustl.edu
603:10.1063/PT.3.3717
540:physics.wustl.edu
506:978-1-78634-595-0
472:978-0-387-98931-0
337:quantum mechanics
166:
165:
153:Doctoral students
117:Scientific career
1178:
1064:
1063:
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1060:
1046:
1040:
1035:
1029:
1028:
1027:on June 7, 2010.
1023:. Archived from
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870:. Archived from
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842:. Archived from
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623:Europhysics News
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562:Bender, Carl M.
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456:Carl M. Bender,
386:Nigel Goldenfeld
138:Doctoral advisor
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966:Wayback Machine
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935:"Research FAQs"
931:
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867:
865:"Archived copy"
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496:Carl M Bender,
453:
414:Ulam Fellowship
398:
365:
327:
260:Telluride House
256:summa cum laude
236:Richard Feynman
223:
203:nonperturbative
145:
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105:
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98:Fellows Award,
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45:Alma mater
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1070:External links
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483:, 5243 (1998).
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349:global warming
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276:Sidney Coleman
264:Phi Beta Kappa
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169:Carl M. Bender
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147:Sidney Coleman
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65:Known for
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23:Carl M. Bender
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15:
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1096:Living people
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662:(1): 70–114.
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52:(M.A., Ph.D.)
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1057:. Retrieved
1053:
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1025:the original
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1011:
997:
986:. Retrieved
984:. 2008-01-02
981:
972:
954:
942:. Retrieved
938:
928:
917:. Retrieved
913:
904:
879:. Retrieved
872:the original
859:
848:. Retrieved
844:the original
839:
830:
819:. Retrieved
815:
805:
791:
773:
761:. Retrieved
758:AcademicTree
757:
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655:
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543:. Retrieved
539:
497:
490:
487:
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477:
462:
434:
399:
381:
366:
328:
288:
286:in 1969–70.
249:
246:
241:
233:
228:
224:
199:perturbative
196:
168:
167:
123:Institutions
116:
1091:1943 births
1054:www.aps.org
493:947 (2007).
345:black holes
280:Tai-Tsun Wu
205:methods in
143:Tai Tsun Wu
76:PT symmetry
37:Nationality
1085:Categories
1059:2018-01-18
988:2018-01-18
982:The Source
944:18 January
919:2018-01-18
881:2013-08-06
850:2018-01-18
821:2019-04-07
763:18 January
545:2018-01-18
512:References
317:, and the
1017:"Faculty"
299:St. Louis
221:Biography
157:Tom Banks
962:Archived
890:cite web
781:Archived
738:Archived
443:and the
363:Research
325:Teaching
315:Technion
40:American
1076:Webpage
674:Bibcode
627:Bibcode
590:Bibcode
416:at the
353:thunder
181:Physics
694:684471
692:
504:
470:
396:Awards
355:, and
313:, the
215:optics
110:(1995)
103:(2002)
95:(2003)
88:(2017)
81:Awards
59:(A.B.)
875:(PDF)
868:(PDF)
690:S2CID
664:arXiv
567:(PDF)
451:Works
946:2018
896:link
765:2018
502:ISBN
468:ISBN
428:and
278:and
266:and
201:and
175:and
32:1943
29:Born
682:doi
635:doi
598:doi
491:70,
420:at
297:in
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