Many-body problem

Quantum mechanics
Part of a series of articles about
$i\hbar {\frac {d}{dt}}\|\Psi \rangle ={\hat {H}}\|\Psi \rangle$ Schrödinger equation
Introduction Glossary History
Background Classical mechanics Old quantum theory Interference
Fundamentals Bra–ket notation Complementarity Entanglement Energy level Hamiltonian Measurement Nonlocality Quantum number State Superposition Symmetry Tunnelling Uncertainty Wave function Collapse
Experiments Bell's inequality Davisson–Germer Double-slit Elitzur–Vaidman Franck–Hertz Mach–Zehnder Delayed-choice quantum eraser Stern–Gerlach Rutherford
Formulations Overview Heisenberg Interaction Matrix Phase-space Schrödinger Sum-over-histories (path integral)
Equations Dirac Klein–Gordon Pauli Rydberg Schrödinger
Interpretations Bayesian Consciousness causes collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse Quantum logic Superdeterminism Relational Transactional
Advanced topics Relativistic quantum mechanics Quantum field theory Quantum information science Quantum computing Quantum chaos Decoherence EPR paradox Density matrix Scattering theory Quantum statistical mechanics Quantum machine learning

The quantum many-body problem is a general name for a vast category of physical problems pertaining to deriving the behavior of multi-particle systems using fundamental quantum-mechanical principles.

The goal of many-body physics is to find new principles to describe macroscopic systems, using principles that pertain to microscopic systems.

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