The Net Advance of Physics:
MANY BODY THEORY

• General: Coleman 2003/07;
  • An Introduction to Many-Body Green's Functions In and Out of Equilibrium by J. K. Freericks [2019/07]

• Type: FEW BODY SYSTEMS;
• Type: GRAVITATIONAL:
  • The Classical Gravitational N-Body Problem by Douglas C. Heggie [Encyclopaedia of Mathematical Physics, 2006]
  • Gravitational N-body Simulations by M. Trenti and P. Hut [Scholarpedia 2008/06]
  • N-body simulations of gravitational dynamics by Walter Dehnen and Justin Read [2011/05]

• Type: NON-EQUILIBRIUM:
  • The Nonequilibrium Many-Body Problem as a paradigm for extreme data science by J. K. Freericks et al. [International Journal of Modern Physics B 28, 1430021 (2014)]
  • An Introduction to Many-Body Green's Functions In and Out of Equilibrium by J. K. Freericks [2019/07]

• Type: NUCLEAR:
  • Short History of Nuclear Many-Body Problem by H. S. Köhler [2014/05]

• Type: QUANTUM: Froehlich et al. 95/08;
  • The Tensor Networks Anthology: Simulation Techniques for Many-Body Quantum Lattice Systems by Pietro Silvi et al. [2017/10] 115 pp.
  • Genuine quantum correlations of quantum many-body systems by Gabriele De Chiara and Anna Sanpera [2017/11]
  • Disorder in Quantum Many-Body Systems by Thomas Vojta [2018/06]
  • Sparse Modeling in Quantum Many-Body Problems by J. Otsuki et al. [2019/11]
  • Entanglement Hamiltonians: From field theory to lattice models and experiments by M. Dalmonte et al. [2022/02]
  • Quantum entanglement in the Sachdev--Ye--Kitaev (SYK) model and its generalizations by P.-F. Zhang [2022/03]
  • Speed limits and locality in many-body quantum mechanics by C.-F. Chen et al. [2023/03]
• Aspects: FPU PROBLEM; LOCALISATION; RELAXATION;
• Aspects: FORM FACTORS: Drechsel 98/11;

• Aspects: FUNCTIONAL SCHROEDINGER PICTURE APPROACH: Kim and You 2002/12;

• Aspects: RANDOM-PHASE APPROXIMATION:
  • Introducing the random phase approximation theory by G. Co' [2023/03]

• Aspects: RAYLEIGH QUOTIENT:
  • The Rayleigh Quotient by M. K. G. Kruse et al. [2011/12]

• Aspects: SIMULATIONS:
  • Quantum simulations and many-body physics with light by Changsuk Noh and Dimitris G. Angelakis [Reports on Progress in Physics 80, 016401 (2016)]

• Re: CHIRAL DYNAMICS:
  • Chiral dynamics of few- and many-nucleon systems by Evgeny Epelbaum and Ulf-G. Meißner [2012/01]

• Re: COLD ATOMS:
  • Understanding many-body physics in one dimension from the Lieb-Liniger model by Y.-Z. Jiang et al. [Chinese Physics B 24, 050311 (2015)]
  • Exploring the few- to many-body crossover using cold atoms in one dimension by Nikolaj Thomas Zinnner [2015/05]

• Re: COSMOLOGY: Klypin 2000/05;

• Re: DISORDER:
  • Disorder in Quantum Many-Body Systems by Thomas Vojta [2018/06]

• Re: EFFECTIVE FIELD THEORY: Serot and Walecka 2000/10;

• Re: FEYNMAN DIAGRAMS:
  • A Guide to Feynman Diagrams in the Many-Body Problem by John W. Negele [New York: Dover, 1976]
• Re: FOURIER TRANSFORMS: Dremin 98/10;
• Re: GAUGE INVARIANCE: Froehlich et al. 95/08;
• Re: LOW-DIMENSION MATERIALS: Peres 98/02;

• Re: NEURAL NETWORKS:
  • Neural networks in quantum many-body physics: A hands-on tutorial by J. Carrasquilla and G. Torlai [2021/01]

• Re: PATH INTEGRALS:
  • Path Integrals in Quantum Physics by R. Rosenfelder [2012/09]

• Re: QUANTUM CHAOS:
  • Many-Body Physics and Quantum Chaos by Denis Ullmo [2007/12]

• Re: RANDOM MATRICES: Guhr et al. 97/07;
• Re: STELLAR CLUSTERS: Heggie 97/11;
• Re: VARIATIONAL PRINCIPLE: Feldmeier and Schnack 2000/01;
• Older papers:
  • Overview/Homepage
  • Wigner and Q-functions, page 17.
  • Yangian Symmetry in,

THE NET ADVANCE OF PHYSICS