Classical and Quantum Statistical Physics: Fundamentals and Advanced Topics

✍ Scribed by Carlo Heissenberg, Augusto Sagnotti

• Publisher: Cambridge University Press
• Year: 2022
• Tongue: English
• Leaves: 383
• Category: Library

✦ Synopsis

Statistical physics examines the collective properties of large ensembles of particles, and is a powerful theoretical tool with important applications across many different scientific disciplines. This book provides a detailed introduction to classical and quantum statistical physics, including links to topics at the frontiers of current research. The first part of the book introduces classical ensembles, provides an extensive review of quantum mechanics, and explains how their combination leads directly to the theory of Bose and Fermi gases. This allows a detailed analysis of the quantum properties of matter, and introduces the exotic features of vacuum fluctuations. The second part discusses more advanced topics such as the two-dimensional Ising model and quantum spin chains. This modern text is ideal for advanced undergraduate and graduate students interested in the role of statistical physics in current research. 140 homework problems reinforce key concepts and further develop readers' understanding of the subject.

✦ Table of Contents

00.0
01.0_pp_i_iv_Frontmatter
02.0_pp_v_viii_Contents
03.0_pp_ix_x_Preface
04.0_pp_xi_xii_Acknowledgements
05.0_pp_1_2_Part
05.1_pp_3_16_Elements_of_Thermodynamics
05.2_pp_17_39_The_Classical_Ensembles
05.3_pp_40_96_Aspects_of_Quantum_Mechanics
05.4_pp_97_111_Systems_of_Quantum_Oscillators
05.5_pp_112_121_Vacuum_Fluctuations
05.6_pp_122_133_The_van_derWaals_Theory
05.7_pp_134_140_The_Grand_Canonical_Ensemble
05.8_pp_141_192_Quantum_Statistics
05.9_pp_193_206_Magnetism_in_Matter_I
05.10_pp_207_242_Magnetism_in_Matter_II
06.0_pp_243_244_Part
06.1_pp_245_254_The_2D_Ising_Model
06.2_pp_255_273_The_Heisenberg_Spin_Chain
06.3_pp_274_314_Conformal_Invariance_and_the_Renormalization_Group
06.4_pp_315_335_The_Approach_of_Equilibrium
07.0_pp_336_339_Probability_Distributions
08.0_pp_340_342_Equilibrium_and_Combinatorics
09.0_pp_343_347_WKB_at_the_Bottom
10.0_pp_348_351_Some_Analytic_Functions
11.0_pp_352_355_EulerMaclaurin_and_AbelPlana_Formulas
12.0_pp_356_357_Spin_and_the_Pauli_Equation
13.0_pp_358_361_The_Gnm_Operator
14.0_pp_362_364_References
15.0_pp_365_370_Index