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)
| Label | Occurrences |
|---|---|
| Bethe–Salpeter equation canonical | 4 |
| Bethe–Salpeter amplitude | 1 |
| Bethe–Salpeter equation paper (1951) | 1 |
| Bethe–Salpeter kernel | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T604323 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Bethe–Salpeter equation Context triple: [Hans Bethe, notableWork, Bethe–Salpeter equation]
-
A.
Tomonaga–Schwinger equation
The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
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B.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
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C.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
D.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
-
E.
Brillouin–Wigner perturbation theory
Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Bethe–Salpeter equation Target entity description: 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.
-
A.
Tomonaga–Schwinger equation
The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
-
B.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
C.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
D.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
-
E.
Brillouin–Wigner perturbation theory
Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
- F. None of above. chosen
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
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Subject: Bethe–Salpeter equation Description of subject: 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.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.