The Many-Body Problem: Proceedings of the Symposium on the Many-Body Problem Held at Stevens Institute of Technology, Hoboken, New Jersey, January 28-29, 1957

In the early part of 1957, a Symposium was held at the Stevens Institute of Technology for the purpose of bringing together workers in the numerous rapidly moving fields of many-particle physics. The timing was, a posteriori, most suitable. The fundamentals of the Brueckner theory had been solidified, and a basic understanding of electron correlations in a plasma was at the point of being achieved, as was that of superconductivity, with its manifold implications for other many-body systems. It was also, as E. Montroll pointed out, the centenary of Statistical Mechanics, and one of the directions of the second century was evident in the emerging numerical data on classical rigid sphere and helium lambda point transitions. The gestation period of this volume has been very long. A number of rather lengthy connecting sections have therefore been inserted by the Editor with the intention of bringing the discussion somewhat forward in time. These relate in the main to general methodology, with attendant advantages and disadvantages, notable among the latter being the frequent yet always unexpected difficulties when specific cases are under examination. The extent to which the unallocated material represents an original contribution is, to put it charitably, uncertain, for in a rapidly moving field there is a large body of knowledge of undetermined origin constantly “in the air”. There has at least been an effort to include references through the end of 1958, when the body of the text was completed, as well as a scattering of newer publications. Major parts of Chaps. I and XIII were used in a course in 1958 and should be without significant error; such optimism in the remaining survey chapters is not warranted. Percus J.K.(ed.) The Many-Body Problem_proceedings of the symposium on the Many-Body problem held at Stevens Institute of Technology, HOBOKEN,NEW JERSEY,JANUARY 28-29, 1957 (Wiley, 1963)(ASIN B000IY2RT0)(600dpi)(554p) ......Page 3 Copyright ......Page 4 Contents ix ......Page 9 Preface v ......Page 5 Authors vii ......Page 7 PART ONE 1......Page 12 I. Multiple Scattering Methods. By Jerome K. Percus 3 ......Page 14 II. Derivation of the Brueckner Theory. By H. A. Bethe 61 ......Page 72 III. The Many-Body Problem. By K. A. Brueckner (abstract) 77 ......Page 88 IV. Energy of Interacting Fermi Systems. By C. De Dominicis and P. C. Martin 79 ......Page 90 V. Saturation of Nuclear Forces. By P. C. Martin and C. De Dominicis 85 ......Page 96 VI. Ferromagnetism of a Gas of Hard Sphere Fermions. By Joachim B. Ehrman 91 ......Page 102 VII. Round Table on General and Nuclear Theory 95 ......Page 106 PART TWO 119......Page 130 VIII. Transitional Methods. By Jerome K. Percus 121......Page 132 IX. Non-Separable Boundary Value Problems and the Many-Body Problem. By Leonard Eyges 157......Page 168 X. Quantum Mechanical Many-Body Problem and the Low Temperature Properties of a Bose System of Hard Spheres. By Kerson Huang, T. D. Lee, and C. N. Yang 165......Page 176 XI. The Many-Body Problem with Strong Forces. By R. Jastrow 177......Page 188 XII. Collective Variables Without Subsidiary Conditions. By C. A. Levinson and M. K. Banerjee 183......Page 194 PART THREE 197......Page 208 XIII. Collective Methods. By Jerome K. Percus 199 ......Page 210 XIV. Long-Range Correlations in Classical and Quantum Systems. By N. N. Bogoliubov, D. N. Zubarev, V. V. Tolmatchev, and S. V. Tyablikov 263 ......Page 274 XV. Unified Theory of Interacting Bosons. By Eugene P. Gross 275 ......Page 286 XVI. The Collective Description of Particle Interaction. By David Pines 287 ......Page 298 XVII. A Collective Coordinate Method in the Many-Body Problem. By Jerome K. Percus and George J. Yevick 303 ......Page 314 PART FOUR 321......Page 332 XVIII. Normal States of Matter. By Jerome K. Percus 323 ......Page 334 XIX. On Pair Correlations in Liquids. By Louis Goldstein 339 ......Page 350 XX. Effect of Defects on the Vibration of Crystal Lattices. By E. W. Montroll, A. A. Maradudin, and G. H. Weiss 353 ......Page 364 XXI. A Collective Approach to the Dielectric Constant. By Philippe Nozieres (abstract) 375 ......Page 386 XXII. Round Table on Normal States of Matter. 377 ......Page 388 PART FIVE 401......Page 412 XXIII. Superfluids. By Jerome K. Percus 403 ......Page 414 XXIV. Coherent States in a Degenerate Electron Gas. By Leon N. Cooper 449 ......Page 460 XXV. Helium II. By Lars Onsager 457 ......Page 468 XXVI. Boson Field Approach to the Theory of Liquid He II. By P. R. Zilsel 465 ......Page 476 XXVII. Round Table on Superfluids 471 ......Page 482 PART SIX 491......Page 502 XXVIII. Round Table on Statistical Mechanics 493 ......Page 504 XXIX. Investigation of the Many-Body Problem by Electronic Computers. By B. J. Alder and T. Wainwright 511 ......Page 522 XXX. Recent Monte Carlo Calculations of the Equation of State of Lennard-Jones and Hard Sphere Molecules. By W. W. Wood, F. R. Parker, and J. D. Jacobson (abstract) 523 ......Page 534 XXXI. One Hundred Years of Statistical Mechanics. By Elliott Montroll 525 ......Page 536 Author Index 535 ......Page 546 Subject Index 538 ......Page 549 cover......Page 1 back cover 543 ......Page 554