Beautiful Models: 70 Years of Exactly Solved Quantum Many-body ProblemsThis invaluable book provides a broad introduction to the fascinating and beautiful subject of many-body quantum systems that can be solved exactly. The subject began with Bethe's famous solution of the one-dimensional Heisenberg magnet more than 70 years ago, soon after the invention of quantum mechanics. Since then, the diversity and scope of such systems have been steadily growing.Beautiful Models is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in physics. It is also suitable for the non-experts in physics who wish to have an overview of some of the classic and fundamental models in the subject. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature. |
Contents
III | 1 |
IV | 6 |
V | 8 |
VI | 12 |
VIII | 15 |
IX | 18 |
X | 27 |
XII | 30 |
CVI | 197 |
CVII | 205 |
CX | 208 |
CXI | 210 |
CXII | 213 |
CXIII | 215 |
CXIV | 217 |
CXV | 220 |
XIII | 36 |
XV | 38 |
XVI | 42 |
XVII | 44 |
XVIII | 45 |
XIX | 49 |
XX | 53 |
XXII | 54 |
XXIII | 61 |
XXIV | 64 |
XXV | 68 |
XXVI | 70 |
XXVII | 72 |
XXVIII | 75 |
XXX | 90 |
XXXI | 93 |
XXXII | 95 |
XXXIII | 97 |
XXXIV | 100 |
XXXV | 102 |
XXXVII | 103 |
XXXVIII | 104 |
XXXIX | 106 |
XL | 108 |
XLI | 109 |
XLII | 110 |
XLIII | 111 |
XLIV | 113 |
XLV | 114 |
XLVI | 115 |
XLVII | 116 |
L | 118 |
LI | 119 |
LII | 123 |
LIII | 131 |
LVI | 132 |
LVIII | 133 |
LIX | 134 |
LXI | 135 |
LXII | 137 |
LXIII | 138 |
LXIV | 143 |
LXVII | 144 |
LXVIII | 145 |
LXIX | 146 |
LXXIII | 148 |
LXXIV | 154 |
LXXVI | 155 |
LXXVII | 157 |
LXXVIII | 158 |
LXXIX | 159 |
LXXX | 160 |
LXXXI | 161 |
LXXXIII | 162 |
LXXXIV | 166 |
LXXXV | 167 |
LXXXVI | 168 |
LXXXVIII | 170 |
XC | 171 |
XCI | 172 |
XCII | 174 |
XCIII | 177 |
XCIV | 178 |
XCV | 180 |
XCVII | 182 |
XCVIII | 184 |
XCIX | 186 |
C | 189 |
CIII | 190 |
CIV | 192 |
CV | 193 |
CXVII | 222 |
CXVIII | 224 |
CXIX | 225 |
CXX | 228 |
CXXI | 230 |
CXXII | 231 |
CXXIII | 232 |
CXXIV | 233 |
CXXV | 235 |
CXXVI | 236 |
CXXVII | 238 |
CXXVIII | 242 |
CXXX | 244 |
CXXXI | 245 |
CXXXII | 246 |
CXXXIII | 248 |
CXXXIV | 249 |
CXXXV | 253 |
CXXXVI | 254 |
CXXXVII | 256 |
CXXXVIII | 258 |
CXXXIX | 261 |
CXL | 262 |
CXLII | 263 |
CXLIII | 265 |
CXLIV | 267 |
CXLV | 269 |
CXLVI | 270 |
CXLVII | 275 |
CXLIX | 277 |
CL | 279 |
CLI | 280 |
CLII | 282 |
CLIII | 284 |
CLIV | 286 |
CLV | 289 |
CLVI | 295 |
CLIX | 296 |
CLX | 298 |
CLXI | 299 |
CLXIII | 300 |
CLXV | 302 |
CLXVI | 303 |
CLXVII | 304 |
CLXIX | 305 |
CLXX | 308 |
CLXXII | 312 |
CLXXIII | 313 |
CLXXIV | 314 |
CLXXVII | 315 |
CLXXVIII | 316 |
CLXXIX | 319 |
CLXXX | 324 |
CLXXXI | 326 |
CLXXXII | 327 |
CLXXXIII | 331 |
CLXXXIV | 336 |
CLXXXV | 338 |
CLXXXVI | 342 |
CLXXXVII | 345 |
CLXXXVIII | 347 |
CLXXXIX | 349 |
CXC | 350 |
CXCI | 353 |
CXCII | 360 |
CXCIV | 363 |
CXCV | 365 |
CXCVI | 368 |
371 | |
377 | |
Other editions - View all
Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems Bill Sutherland Limited preview - 2004 |
Beautiful Models: 70 Years of Exactly Solved Quantum Many-body Problems Bill Sutherland (Ph. D.) No preview available - 2004 |
Common terms and phrases
8-function potential antiferromagnet asymptotic Bethe ansatz asymptotic momenta Bethe ansatz bosons bound calculate chemical potential classical limit commute component consistency conditions continuum defined density diffraction dispersion relation eigenvalues equivalent exchange excitations expression finite flux free fermions free particles ghost particle given gives ground state energy Hamiltonian Heisenberg Heisenberg-Ising model hole Hubbard model identical particles integral equation interaction inverse-square potential k₁ k₂ kernel lattice gas low-lying magnetic many-body problem N₁ nearest-neighbor non-diffractive notation one-dimensional pair potential parameter periodic boundary conditions permutation group phase shift Phys potential v(r problem quantum many-body quantum numbers reflection representation ring scattering amplitudes scattering operators sector shown in Fig simply sinh solution solved spin statistics Sutherland symmetry thermodynamic limit ticles tion total momentum transmission twisted boundary conditions two-body phase shift two-body scattering variables velocity wave function wavefunction write α α