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.

All labels observed (4)

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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
surface form: Schrödinger equation to relativistic bound states
introducedBy Edwin E. Salpeter
surface form: Erwin Salpeter

Hans Bethe
involves interaction kernel
propagators of constituent particles
relative four-momentum
total four-momentum
namedAfter Edwin E. Salpeter
surface form: Erwin Salpeter

Hans Bethe
originalContext relativistic treatment of bound states in quantum electrodynamics
publicationYear 1951
relatedTo Schwinger–Dyson equations
surface form: Dyson–Schwinger equations

Lippmann–Schwinger equation
Schrödinger equation
relates two-particle Green’s function to interaction kernel
solutionType Bethe–Salpeter equation self-linksurface differs
surface form: 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 equation self-linksurface differs
surface form: Bethe–Salpeter kernel

four-point Green’s function
two-particle Green’s function

How these facts were elicited

Referenced by (7)

Full triples — surface form annotated when it differs from this entity's canonical label.

Hans Bethe notableWork Bethe–Salpeter equation
Edwin E. Salpeter knownFor Bethe–Salpeter equation
Edwin E. Salpeter notableWork Bethe–Salpeter equation
this entity surface form: Bethe–Salpeter equation paper (1951)
Bethe notableWork Bethe–Salpeter equation
subject surface form: Hans Bethe
Bethe–Salpeter equation uses Bethe–Salpeter equation self-linksurface differs
this entity surface form: Bethe–Salpeter kernel
Bethe–Salpeter equation solutionType Bethe–Salpeter equation self-linksurface differs
this entity surface form: Bethe–Salpeter amplitude
Schwinger–Dyson equations relatedTo Bethe–Salpeter equation