Bethe–Salpeter equation

E75707

The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.


Statements (49)
Predicate Object
instanceOf equation in quantum field theory
integral equation
relativistic wave equation
appliesTo electron–hole systems in solids
electron–positron systems
fermion–antifermion systems
two interacting particles
approximation ladder approximation
rainbow–ladder approximation
basedOn quantum field theory
relativistic covariance
describes bound states in quantum chromodynamics
bound states in quantum electrodynamics
electron–hole pairs
excitons
mesons
relativistic bound states
two-particle bound states
field many-body physics
particle physics
quantum field theory
theoretical physics
formulation integral equation in four-dimensional spacetime
generalizes Schrödinger equation to relativistic bound states
introducedBy Erwin Salpeter
Hans Bethe
involves interaction kernel
propagators of constituent particles
relative four-momentum
total four-momentum
namedAfter Erwin Salpeter
Hans Bethe
originalContext relativistic treatment of bound states in quantum electrodynamics
publicationYear 1951
relatedTo Dyson–Schwinger equations
Lippmann–Schwinger equation
Schrödinger equation
relates two-particle Green’s function to interaction kernel
solutionType Bethe–Salpeter amplitude
two-particle wave function in momentum space
usedIn GW-BSE approach to electronic excitations
ab initio calculations of optical spectra
exciton calculations in condensed matter physics
hadron spectroscopy
many-body perturbation theory
meson structure calculations
uses Bethe–Salpeter kernel
four-point Green’s function
two-particle Green’s function

Referenced by (6)
Subject (surface form when different) Predicate
Edwin E. Salpeter ("Bethe–Salpeter equation paper (1951)")
Hans Bethe
Hans Bethe
notableWork
Edwin E. Salpeter
knownFor
Bethe–Salpeter equation ("Bethe–Salpeter amplitude")
solutionType
Bethe–Salpeter equation ("Bethe–Salpeter kernel")
uses

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