Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections)Daniel C Mattis World Scientific, 15 бер. 1993 р. - 988 стор. This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns. |
Зміст
| 1 | |
Chapter 2 Spectrum of Disordered andor Anharmonic Chains of Oscillators | 111 |
Chapter 3 Electron Energy Bands in Ordered and Disordered Crystals | 259 |
Chapter 4 The ManyFermion Problem | 419 |
Chapter 5 The Bose Gas | 591 |
Chapter 6 Magnetism | 671 |
Chapter 7 TimeDependent Phenomena and the Approach to Equilibrium | 845 |
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The Many-body Problem: An Encyclopedia of Exactly Solved Models in One Dimension Daniel Charles Mattis Обмежений попередній перегляд - 1993 |
The Many-body Problem: An Encyclopedia of Exactly Solved Models in One Dimension Daniel Charles Mattis Попередній перегляд недоступний - 1993 |
The Many-body Problem: An Encyclopedia of Exactly Solved Models in One Dimension Daniel Charles Mattis Попередній перегляд недоступний - 1993 |
Загальні терміни та фрази
amplitude analytic ansatz antiferromagnetic approximation asymptotic atoms band behavior boson boundary conditions calculation chain coefficients compute configuration consider constant convergence correlation functions corresponding coupling curve defined density derived dimension discussed disordered eigenfunctions eigenstates eigenvalues electrons equation exact excitations exponential Fermi fermion ferromagnetic field finite frequency given ground ground-state Hamiltonian Heisenberg infinite integral interaction k₁ k₂ lattice Lett Lieb limit linear long-range order Luttinger magnetic mass Math matrix Mattis method modes momentum motion N-BODY PROBLEMS nonlinear obtained one-dimensional operators oscillator pair parameter particles partition function perturbation phase Phys physical potential problem quantum random region satisfy Schrödinger equation soliton solution solved spectrum spin statistical statistical mechanics symmetric temperature theorem theory thermodynamic tion Toda lattice transformation vanishes variables wave function XY model zero