31:
280:, 304 (1965)). The error by Luttinger consists of solving the problem without imposing an appropriate cut-off on sums over momenta, whereby he erroneously mapped the interacting problem onto a non-interacting one. The Luttinger model is akin, but not identical, to an earlier model introduced by
662:
185:(December 2, 1923 – April 6, 1997) was an American physicist well known for his contributions to the theory of interacting electrons in one-dimensional metals (the electrons in these metals are said to be in a
677:
126:
667:
672:
682:
82:
116:
236:
211:
268:, 1154 (1963)). Luttinger's solution of this model was however incorrect. The correct solution was later provided by D. C. Mattis and
634:
108:
241:
156:
629:
611:
231:
104:
152:
96:
194:
657:
652:
193:
theory. He received his BS and PhD in physics from MIT in 1947. His brother was the physical chemist
635:
Walter Kohn, "Joaquin M. Luttinger", Biographical
Memoirs of the National Academy of Sciences (2014)
621:
475:
Derivation of the Landau Theory of Fermi
Liquids. II. Equilibrium Properties and Transport Equation
160:
100:
568:
281:
170:
580:
226:
496:
186:
92:
400:
269:
30:
419:
Fermi
Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions
549:
Exact evaluation of Green's functions for a class of one-dimensional disordered systems
216:
646:
625:
206:
54:
528:
542:
514:
482:
468:
454:
426:
412:
366:
221:
190:
556:
440:
380:
352:
197:(1920–2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).
394:
572:
340:
112:
597:
329:
447:
Theory of the de Hass-van Alphen Effect for a System of
Interacting Fermions
302:
433:
Analytic
Properties of Single-Particle Propagators for Many-Fermion Systems
500:
461:
Derivation of the Landau Theory of Fermi
Liquids. I. Formal Properties
663:
Massachusetts
Institute of Technology School of Science alumni
303:"Massachusetts Institute of Technology. Department of Physics"
535:
Density of electronic energy levels in disordered systems. II
521:
Density of electronic energy levels in disordered systems
260:
The
Luttinger model was introduced by Luttinger in 1963 (
373:
359:
Quantum Theory of
Electrical Transport Phenomena. II
166:
148:
140:
122:
88:
78:
62:
40:
21:
489:An exactly solvable model of a many-fermion system
579:, Physics Today, December 1997, pp. 89–90 (
405:Ground-State Energy of a Many-Fermion System. II
345:Quantum Theory of Electrical Transport Phenomena
588:This obituary is reprinted with permission in
8:
387:Ground-State Energy of a Many-Fermion System
18:
678:Fellows of the American Physical Society
491:, Journal of Mathematical Physics, Vol.
618:Leading Physicist Joaquin Luttinger, 73
253:
596:, Nos. 3/4, pp. 413–415 (2001) (
83:Massachusetts Institute of Technology
7:
495:, No. 9, pp. 1154–1162 (1963).
519:R. Friedberg, and J. M. Luttinger,
513:, No. 12, pp. 524–526 (1965).
507:New Mechanism for Superconductivity
14:
509:, Physical Review Letters, Vol.
328:(Note: For a complete list, see
144:Physics of interacting particles
117:Kohn–Luttinger superconductivity
29:
668:American theoretical physicists
286:Progress of Theoretical Physics
212:Schrieffer–Wolff transformation
183:Joaquin (Quin) Mazdak Luttinger
673:University of Michigan faculty
610:Photograph of J.M. Luttinger:
590:Journal of Statistical Physics
505:W. Kohn, and J. M. Luttinger,
385:W. Kohn, and J. M. Luttinger,
357:W. Kohn, and J. M. Luttinger,
16:American physicist (1923-1997)
1:
683:Scientists from New York City
547:R. Tao, and J. M. Luttinger,
541:, pp. 2596–2600 (1976).
527:, pp. 4460–4474 (1975).
481:, pp. 1431–1440 (1962).
467:, pp. 1423–1431 (1962).
453:, pp. 1251–1258 (1961).
425:, pp. 1153–1163 (1960).
411:, pp. 1417–1427 (1960).
365:, pp. 1892–1909 (1958).
292:, No. 4, pp. 544-569 (1950)).
571:, Richard M. Friedberg, and
555:, pp. 935–944 (1983).
439:, pp. 942–949 (1961).
379:, pp. 739–751 (1958).
351:, pp. 590–611 (1957).
699:
551:, Physical Review B, Vol.
537:, Physical Review B, Vol.
523:, Physical Review B, Vol.
157:University of Pennsylvania
393:, pp. 41–45 (1960).
232:Anomalous magnetic moment
176:
133:
109:Luttinger–Ward functional
28:
477:, Physical Review, Vol.
463:, Physical Review, Vol.
449:, Physical Review, Vol.
435:, Physical Review, Vol.
421:, Physical Review, Vol.
407:, Physical Review, Vol.
389:, Physical Review, Vol.
375:, Physical Review, Vol.
361:, Physical Review, Vol.
347:, Physical Review, Vol.
35:Joaquin Mazdak Luttinger
23:Joaquin Mazdak Luttinger
343:, and J. M. Luttinger,
242:k·p perturbation theory
153:University of Michigan
399:J. M. Luttinger, and
237:Effective mass theory
127:Guggenheim Fellowship
113:Anomalous Hall effect
577:Joaquin M. Luttinger
105:Luttinger–Kohn model
622:Columbia University
161:Columbia University
101:Luttinger parameter
97:Luttinger's theorem
620:, April 18, 1997,
569:Philip W. Anderson
282:Sin-Itiro Tomonaga
171:T. V. Ramakrishnan
533:J. M. Luttinger,
501:10.1063/1.1704046
487:J. M. Luttinger,
473:J. M. Luttinger,
459:J. M. Luttinger,
445:J. M. Luttinger,
431:J. M. Luttinger,
417:J. M. Luttinger,
371:J. M. Luttinger,
324:Some publications
227:Many-body problem
180:
179:
135:Scientific career
73:New York City, US
690:
317:
316:
314:
313:
299:
293:
258:
195:Lionel Luttinger
187:Luttinger-liquid
167:Notable students
93:Luttinger liquid
69:
50:
48:
33:
19:
698:
697:
693:
692:
691:
689:
688:
687:
643:
642:
640:
616:Robert Nelson,
607:
584:
565:
330:J. Stat. Phys.
326:
321:
320:
311:
309:
307:history.aip.org
301:
300:
296:
259:
255:
250:
203:
189:state) and the
115:
111:
107:
103:
99:
95:
79:Alma mater
74:
71:
67:
58:
57:, United States
52:
51:2 December 1923
46:
44:
36:
24:
17:
12:
11:
5:
696:
694:
686:
685:
680:
675:
670:
665:
660:
655:
645:
644:
638:
637:
632:
614:
606:
605:External links
603:
602:
601:
564:
561:
560:
559:
545:
531:
517:
503:
485:
471:
457:
443:
429:
415:
397:
383:
369:
355:
325:
322:
319:
318:
294:
274:J. Math. Phys.
262:J. Math. Phys.
252:
251:
249:
246:
245:
244:
239:
234:
229:
224:
219:
217:Wiener sausage
214:
209:
202:
199:
178:
177:
174:
173:
168:
164:
163:
150:
146:
145:
142:
138:
137:
131:
130:
124:
120:
119:
90:
89:Known for
86:
85:
80:
76:
75:
72:
70:(aged 73)
64:
60:
59:
53:
42:
38:
37:
34:
26:
25:
22:
15:
13:
10:
9:
6:
4:
3:
2:
695:
684:
681:
679:
676:
674:
671:
669:
666:
664:
661:
659:
656:
654:
651:
650:
648:
641:
636:
633:
630:
627:
623:
619:
615:
612:
609:
608:
604:
599:
595:
591:
587:
582:
578:
574:
570:
567:
566:
562:
558:
554:
550:
546:
544:
540:
536:
532:
530:
526:
522:
518:
516:
512:
508:
504:
502:
498:
494:
490:
486:
484:
480:
476:
472:
470:
466:
462:
458:
456:
452:
448:
444:
442:
438:
434:
430:
428:
424:
420:
416:
414:
410:
406:
402:
398:
396:
392:
388:
384:
382:
378:
374:
370:
368:
364:
360:
356:
354:
350:
346:
342:
339:
338:
337:
335:
333:
323:
308:
304:
298:
295:
291:
287:
283:
279:
275:
271:
267:
263:
257:
254:
247:
243:
240:
238:
235:
233:
230:
228:
225:
223:
220:
218:
215:
213:
210:
208:
207:Negative mass
205:
204:
200:
198:
196:
192:
188:
184:
175:
172:
169:
165:
162:
158:
154:
151:
147:
143:
139:
136:
132:
128:
125:
121:
118:
114:
110:
106:
102:
98:
94:
91:
87:
84:
81:
77:
65:
61:
56:
55:New York City
43:
39:
32:
27:
20:
639:
617:
593:
589:
585:
576:
552:
548:
538:
534:
524:
520:
510:
506:
492:
488:
478:
474:
464:
460:
450:
446:
436:
432:
422:
418:
408:
404:
390:
386:
376:
372:
362:
358:
348:
344:
334:, 641 (2001)
331:
327:
310:. Retrieved
306:
297:
289:
285:
277:
273:
265:
261:
256:
222:Fermi liquid
191:Fermi-liquid
182:
181:
149:Institutions
134:
68:(1997-04-06)
66:6 April 1997
658:1997 deaths
653:1923 births
573:Walter Kohn
647:Categories
401:J. C. Ward
312:2020-01-04
270:E. H. Lieb
47:1923-12-02
626:New York
563:Obituary
201:See also
592:, Vol.
341:W. Kohn
288:, Vol.
276:, Vol.
264:, Vol.
141:Fields
129:(1974)
123:Awards
586:Note:
248:Notes
598:Link
63:Died
41:Born
628:,
594:103
581:PDF
557:APS
543:APS
529:APS
515:APS
497:doi
483:APS
479:127
469:APS
465:127
455:APS
451:121
441:APS
437:121
427:APS
423:119
413:APS
409:118
395:APS
391:118
381:APS
377:112
367:APS
363:109
353:APS
349:108
336:.)
332:103
649::
624:,
600:).
583:).
575:,
553:27
539:13
525:12
511:15
403:,
305:.
159:,
155:,
631:.
613:.
499::
493:4
315:.
290:5
284:(
278:6
272:(
266:4
49:)
45:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.