Functional formulation of microscopic theory of exciton polaritons

Journal Article · Tue Sep 01 04:00:00 EDT 1987 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01041002· OSTI ID:5375031

Glinskii, G F; Koinov, Z

Exact results obtained from quantum field theory in its functional formulation are used to construct a microscopic theory of exciton polaritons in semiconductors. It is shown that the polariton spectrum is determined by the poles of the two-particle Green's function that describes both the direct Coulomb electron-hole interaction as well as the exchange electron-hole interaction. By means of higher Legendre transformations the Bethe-Salpeter equation for the two-particle Green's function is obtained from Schwinger's equations. The polariton spectrum and the permittivity tensor are determined from the solution of the Bethe-Salpeter equation. The nontrivial normalization condition obtained in the paper for the wave functions of the polaritons has made it possible for the first time to connect their energy and momentum to the Minkowski tensor for the energy and momentum densities of the electromagnetic field in a dispersive medium.

• Research Organization: V. I. Ulyanov (Lenin) Institute of Electrical Engineering, Leningrad (USSR)
• OSTI ID: 5375031
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 70:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY DENSITY
EQUATIONS
EXCITONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
HOLES
INTERACTIONS
LEGENDRE POLYNOMIALS
LEPTONS
MASSLESS PARTICLES
MATERIALS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTICLE MODELS
PERMITTIVITY
PHOTONS
POLYNOMIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SCHWINGER FUNCTIONAL EQUATIONS
SEMICONDUCTOR MATERIALS
SPACE
SPECTRA
SPINOR FIELDS
TENSORS
VECTOR FIELDS
WAVE FUNCTIONS