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Joaquin Mazdak Luttinger

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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
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Walter Kohn, "Joaquin M. Luttinger", Biographical Memoirs of the National Academy of Sciences (2014)
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Derivation of the Landau Theory of Fermi Liquids. II. Equilibrium Properties and Transport Equation
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Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions
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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
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Analytic Properties of Single-Particle Propagators for Many-Fermion Systems
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Derivation of the Landau Theory of Fermi Liquids. I. Formal Properties
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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
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Density of electronic energy levels in disordered systems
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The Luttinger model was introduced by Luttinger in 1963 (
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Theory of the Hall Effect in Ferromagnetic Substances
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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:(

Index


New York City
Massachusetts Institute of Technology
Luttinger liquid
Luttinger's theorem
Luttinger parameter
Luttinger–Kohn model
Luttinger–Ward functional
Anomalous Hall effect
Kohn–Luttinger superconductivity
Guggenheim Fellowship
University of Michigan
University of Pennsylvania
Columbia University
T. V. Ramakrishnan
Luttinger-liquid
Fermi-liquid
Lionel Luttinger
Negative mass
Schrieffer–Wolff transformation
Wiener sausage
Fermi liquid
Many-body problem
Anomalous magnetic moment
Effective mass theory
k·p perturbation theory
E. H. Lieb
Sin-Itiro Tomonaga
"Massachusetts Institute of Technology. Department of Physics"
J. Stat. Phys. 103, 641 (2001)

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