Subject Index

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Abel's theorem RM6, RM8

Absolute negative conductivity, see Conductivity

Action O2

Adiabatic approximation D1, SL4, H24

Aharonov-Bohm effect J3,m J13-14, J16

Alt-Grassberger-Sandhas equation BE2

Analytic continuation V4

Anderson impurity J6, J18

Anderson localization F4-5

Andreev scattering J8, J19

Anomalous propagator (Green's function), see Propagator

Ansatz

Generalized Kadanoff-Baym - M10, LI14-18, BO4, D11, GA1-2, GA6-9, HA2, HH7, KL18, MI7, MZ3, SE3, ST3, MR6, H16

- - for multi-band systems HH5-6

Kadanoff-Baym - LI1, LI4, LI7

- - for relativistic systems D3, G1-3

Silin - BO5

Antisymmetrization of the density operator(s) FB2

Atomic drag K6

Back reaction SM1-8, BE2

Back scatterin B4

Balescu-Lenard equation, see Kinetic equation(s)

Band gap renormalization HH11, MI2

Barker-Ferry equation, see Kinetic equation(s)

BCS-Theory B3

Beliaev approximation I1, I5-7, I11, I13

Bethe-Salpeter equation M4, M9, BR1, KW1, KW5, MZ6, SL2, T1, T3, ST1, BL3

Bethe ansatz J18

Bethe formula GE8

Beth-Uhlenbeck formula MO5, MO9

Bloch equations HH5, KW3, MI2, ST1-3, ST7, MZ1, MZ3, H17

Bogolyubov condition, see Initial correlations

Bogolyubov-de Gennes equation J19

Bogolyubov hypothesis, see Functional hypothesis

Boltzmann equation, see Kinetic equations

Boltzmann-Ueling-Uhlenbeck equation, see Kinetic equations

Born approximation BO4, HA2, HA4, KW6, PS6

Bose condensed gas (trapped) M12-14, I1

Bose-Einstein condensation M12-14, KW8, G9, I1

Boson(s)

Goldstone - BL2

Slave - J18

Bound state(s) BE1, SL2-4

Account of - in kinetic theory BR1, D25

Kinetic equations for - BE1-2, BE5, SL2

Breit-Wigner formula J15

Bremsstrahlung BO5, D15, IV3

Brownian motion M12, B12, IV3, G1-2

Brueckner approximation SP5-10
see also T-matrix

Carbon nanotube(s) see Nanotube

Carrier-carrier scattering BO3, HH6, KL9-10, KL18, KW6, MI5, MZ4, SE2, H11

Carrier-phonon scattering GA4, HH11, HH14, J6, J11, KL10, KL18, MI5, K2, SE2, H11

Chiral transition MM2

Clifford decomposition MM1, MM8

Coherence M12, HH12

Coherent control K1

Collision(s) see Scattering

Collision integral BO5, HH6, IV14, L6, L8, SL3, ST1-3

Balescu-Lenard - BO4, D13

Boltzmann - B4-7, B10-12, BE2, D3, D13, PS1-2, PS6

Boltzmann-Uehling-Uhlenbeck - BE1, BE6-7, I2, I11

Landau - BO5, HA2

Markovian - D23, IV15, MZ4, RE2

Non-Markovian - BO5, D11, HA1, HH6, IV16, KR8, MI4, MZ4, H13, H23

- due to initial correlations D7, KR8

Completed collision approximation KL17

Compton effect LI10

Condensate (Bose) see Bose--Einstein condensation

Conductivity B5-7

Absolute negative -- J16

- tensor F1

Conservation

Charge - IV13, V4

Density - SM3

Kinetic energy - HA6

Particle number - B2-3, L5ff

Total energy - IV13, KL7, SE8, V4

- - of Kadanoff-Baym equations KL7, KL11, KR9, SE8

Conserving approximation B1-16, D10, Dfig2, IV13, V1, I5

Correlation(s) M4-14, D25, BL5, FB1-8

- buildup HA4, KL10

- due to spin statistics HA1, FB5

- function M4-14, B3-15, PS1-2, SL2-3, ST3, RM1, FB5, FB7, F1

Current-current - - B3, IV3

Density-density - - B3, IV3

- time

Initial -, see Initial correlations

Two-particle (binary) - B3-15, T1, T3, T7, FB5, FB7

Three-particle (ternary) - BE2-8

Coulomb

- interaction MZ3, T2, V1, H2, FB1

- oscillation J15

Screened - potential, see Screened

Coupling

Strong - GE2-3, FB1, FB7

Weak - D14, GA5, GE1, GE7, V1

Cross section BE3-5, BL5, GE3, SL4

Current

- injection K1

- shift K7

Displacement - J4, J12

Tunneling - FL6-7

Damping rate B4, D11, D13, D20, V2

Decoupling

- of the BBGKY-Hierarchy

- of the Martin-Schwinger Hierarchy KR2

Density

- fluctuation function MZ3

- operator PS6-7, RM2-6, MR2, H4

Dielectric

- function D11, HH8, KW4, MZ6, SL3

- - in RPA V5

Nonequilibrium - - BO4, D2, D11, HH8, MI8

see also Polarization function

- tensor,
see also Conductivity tensor

Differential transmission spectroscopy HH9

Dipole

- approximation

- moment

Dirac

- equation MM4, MM7

- field

* Disordered systems F4-6

Dispersion

- relation D11, D18

- - of collective plasma excitations V2

- - for the complex dielectric function HH8

- - for the single-particle energy T1, T7, V2, I2, I9

Plasmon - BO4, D11, D18, V2, H18

Displacement current see Current

Dissociation

J/$\Psi$ - BL5

Dyson equation LI2, B5, BE2, BR1, D6-9, GA2, GA5, GA8-9, KR3-4, T2, V3, MR4, H4, BL3

Efimov effect BE4

Electron gas D1, KW2, V3

Two-dimensional - MI1-9, J2, KL10-16

Electron-phonon interaction see Carrier-phonon scattering

Elliot formula MZ9

Energy SM2

- broadening BO5, HA1, FL8

- - approximation

- conservation, see Conservation

- momentum tensor IV13

- of electromagnetic field V4

- Renormalization

Correlation - HA7, KL5, KL7, KL11-13, KR9, MZ6, MO2, MO4, SE3, SE8

Kinetic - BO6, HA7, KL5, KL7, KL11-13, KR8, MZ3, SE3, SE8

Potential - HA7, KL11-13, MZ6

Total - D4, HA7, KL7, KL11, MO4, SE8, KR9, FB6

Enskog equation see Kinetic equation(s)

Entropy IV1, IV13, PS7, V4, RM4

Equation of state RM4, MR2, FB4

Equilibrium M6-7, M12, BE4-5

- correlations, see Correlation(s)

- distribution function J6,
see also Wigner distribution

Correlated - FB1-8

Evolution operator

- for density operators

- in Green's functions theory D8-10

Exchange, Quantum mechanical I2, FB2

Excitation

- of bound states

Exciton(ic) HH11, MZ1, MZ6-8, H21, BE8

- absorption T1

- line T5

Mahan - H8

Fadeev equations see Kinetic equation(s)

Femtosecond spectroscopy HH9, HH12, MI8, H1, FL1,
see also Spectroscopy

Fermi liquid B14, BZ1, BZ4, IV1

Feynman diagrams M4, B4, B8, B12-13, D10, Dfig1-3, V5

Feynman path integral, see Path integral

Field

- operator M7, I3, H2

- - for photons

- - for plasmons

Electric - B5-6, KW2, RE2, RE6, SM1-2

Electromagnetic - M13, BO2

Field-Matter interaction BO2, D4, V1, H2

Fluctuation(s) M14, BE5, G1, G8

- dissipation theorem M8, D7-8, G1
see also optical theorem

Universal conductance - J3

Flux quantum J13

Field - D6, G3, G7

Fokker-Planck equation M9, IV3

Four-wave mixing HH12ff,
see also Femtosecond spectroscopy

Friedel sum rule J18,
see also Sum rule(s)

Fröhlich coupling see Phonon(s)

Functional derivative technique M9, B8, D5-9, KR2, KR4, T2, V3, I4-6, H4

Functional hypothesis

Galitskii-Feynman T-matrix LI12, SP9
see also T-matrix

Gauge

- invariance B3, BO3, V4, J12-13

- field

- transformation I8

Coulomb (transverse) - V3, H5

Feynman -

Lorentz -

Scalar potential -

Vector potential -

Generalized Kadanoff-Baym ansatz, see Ansatz

Generating functional B13-14, T1

Gould-DeWitt approximation GE1, GE3,
see also Screened ladder approximation

Gradient expansion B11, MO4, IV10, L3, MM3, K2, PS5, H23

Green's function(s) M1-14, B1-16, LI2, BE2-3, PS1-6, T1, H1

- of bosons I3-4

- of carriers D8-10, HH4, KL3, KL12, KL14-16, KR2, K2, H5

- of plasmons D12, H7

- of photons D2-3, V3, H7

Retarded/advanced - M8, GA6, IV11, PS5, SE4, I3, MR5, H10

Gross-Pitaevskii equation I1, I12-13

GG-GW approximation T3

GW approximation B14, HH6, ST3, T1, T6, H4

Hadronic matter BE1,
see also Nuclear matter

Hamiltonian PS3

- of particle-field system B7, H2

Hartree -, see Mean field

Hartree-Fock -, see Mean field

Slave-boson - J18

Hamilton-Jacobi method O2

Hard Thermal Loop V2, IV3

Heisenberg's uncertainty principle

Hierarchy

- of correlation operators, see Correlation(s)

- of reduced density operators, see BBGKY-hierarchy

- of relaxation processes, see Relaxation

BBGKY - PS4

Martin-Schwinger - M6, KR2, T2, IV17

Higgs boson B3

Hilbert (antisymmetric sub-)space

Hole operator

Hot electrons,
see also Runaway

H-theorem IV18

Initial correlations M10-11, KR1-10, MO3, KL9

- for bound states

- in density operator formalism MR2

- in Green's functions theory M10-11, KR1-10, KL9, KW6, MR2, MR5

- in Kadanoff-Baym equations KR1-10, KW6, MR5

Collision integral due to -, see Collision integral

Weakening of - M10-11, KR3, RM5, RM8

In medium scattering BZ1,
see also Many-body effects

Instability,
see also Plasma

Intracollisional field effect BO5, RE1

Ionization K1, O1-8, SL1, SL3

- energy

Effective - - SL3-4

Lowering of - - SL4

Above threshold - BE3

Impact - BE7, RE1, SL4

Multiphoton -

Photo - O1-8, ST1

Pressure -

Irreversibility M1

- of Markovian kinetic equations

- of retardation expansions

J/$\Psi$ BL5

Kadanoff-Baym ansatz, see Ansatz

Kadanoff-Baym equations M1-14, B1-16, BO2, BR1-2, GA2, GA5, KL2-3, KR7, KW2, IV10, MZ2, PS1, PS4-5, SE2, SL2, H10, Z2

- for bosons I4

- for fermions

- for particles

Numerical solution of - - GA5, HA4, KL1-20, KR8-9, KW6, SE5-8, H16

- for particles and photons D11, H10

Initial correlation in -, see Initial correlations

Interband - GA2, GA5, KL10-17, KW2-3, MZ2, H12

Numerical solution of - - GA5, KL10-17

Relativistic -

Kaon(s) KO4-12

Keldysh contour, see Schwinger-Keldysh contour

Kinetic energy, see Energy

Kinetic equation(s) M1-14, BE1-2, L4, PS1-6, SM1-3, ST1

- for carriers and photons,
see also Kadanoff-Baym equations

- for plasmons, see Plasmon(s)

- for trapped Bose gases I2, I8-10

Balescu-Lenard - BO4, D13

Barker-Ferry - RE1

Boltzmann - M1-14, B4-7, B10-12, LI1, LI7, L1, K3, KL17

Boltzmann-Ueling-Uhlenbeck - BE1

Enskog - RM5, SP2

Fadeev - BE3

Landau - LI1, LI8

Landau-Silin - LI1, LI9, LI12, MO7

Levinson - LI14-16, MO2, MO5, KL17-18

Markovian - LI17, K3, RE2, H18, KL17

Non-Markovian - BO5, HA2, HH6, MI3-4, SM1, H12

Vlasov - M9, LI1, LI7, SM2

Linearized - -

Relativistic - - MM3, PS1-2, PS6

see also Collision integral

Klein-Gordon equation MM4

Kondo effect J8, J17-19

Kubo-Martin-Schwinger condition G3, KR3, KO6

Ladder approximation, see T-matrix

Lamb shift M4

Landau damping of plasma oscillations V2

Landau-Dykhne formula O3

Landauer formula J4, J8

Landau-Pommeranchuk-Migdal effect

Landau two-fluid equations I3

Langevin process G1-9

Langreth (-Wilkins) rules J6

Laser M12-13, BO1, K1, ST1-2, ST4, ST6-7, H1, H25

Femtosecond pulse - MI8, H1, FL1-2

Lenard-Balescu equation, see Kinetic equation(s)

Levinson equation see Kinetic equation(s)

Lindhard polarization, see RPA

Linear response M6-8, KW4, MZ4, Z1

Linked cluster theorem J11

Lipavský ansatz, see Ansatz

Lippmann-Schwinger equation GE2

Liouville equation M9, FL1,
see also von Neumann equation

Local approximation SE1, I3,
see also Quasiparticle approximation

Many-body effects FB1

Collective -, see Plasmons

Correlations, see Correlation(s)

Markov(ian)

- kinetic equations, see Kinetic equations

- limit ST6

non - ST4

Martin-Schwinger hierarchy, see Hierarchy

Mass

- action law SL1

- operator Z2-3,
see also Self-energy

- shell constraint MM1

- spectrum L1

- width L2

Maxwell field

Maxwell's equations SM1, SM4, H5, BO2

- for the electromagnetic field tensor

- for the 4-vector potential

- - in different gauges

Mean field HH5, SM2

- approximation GA3, MM3, MM8, PS6, I1-2

- Hamiltonian (Hartree) I2

- Hamiltonian (Hartree-Fock) BE3, I2, I7

Memory effects IV16, H17, BZ1, KL10
see also Retardation effects

Mesons KO1-5

Scalar -

Vector - G3

Mesoscopic phenomena J1-2

Mesoscopic structures see Nanostructures

Metropolis Method, see Monte Carlo

Modulation Doping J1

Molecular Dynamics

Classical -

Quantum - BE6, FL1

Path integral - F1-8

Møller operator

Monte Carlo (method) M14, HA3, FB1, FL2

Classical -

Path integral - FB1-8, F1

Quantum - J18, BE6, FL1, FB1

Mott effect BE5-7, SL6, MZ1, MZ7, T1, T6, H21
see also Ionization

Nambu matrix J19

Nanotube J8, K6

Nanostructures J1, FL1

Non-crossing approximation J18

Nonideality, see Coupling
see also Many-body effects

Nonlinear Vlasov equation, see Kinetic equation

Nuclear matter BE1, KO1-12, KL6-9, MM3, PS2, PS7, BZ1

Off-shell L7

- scattering BZ1

- T-matrix

Optical response KL10, T1

Optical theorem SP3-5, BE4, KO9, BZ7

Pair creation SM1

Parametric excitation D17-19

Partition function B14, F1, FB2-3

Path integral FB1-8, G5

Pauli blocking SP2-3, BE2-3, BE7, BR7, HA2

Pauli equation

Pauli principle FB2

Phase

- as macroscopic order parameter I1, I3, I8, I13

- coherent transport J2-3, J13

- space F1-8

- - density of Klimontovich L8

- - filling, see Pauli blocking

-derivable approximation M12, B13-14, IV12, V1, I5, KO1

Phonon(s) GA1, K2, H2, KL9

- Green's function, see Green's function(s)

scattering of carriers with -, see Carrier-phonon scattering

Photon

- Green's function, see Green's function(s)

- Self-energy, see Self-energy

- assisted tunneling, see tunneling

Pion(s) KO3-12

Pitaevskii equation, see Gross-Pitaevskii equation

Plasma

- frequency MO4

- instability BO3, D3, D15, D16, D17-19

- oscillation KW6, SM7

- turbulence D12-25

Electron-hole - T1, T7

Dense - BO1, GE1, FB1

One-component - T3

Quark-Gluon - V1, BL1

Plasmon(s) D11, H7

- assisted tunneling, see tunneling

- damping D11, D15, KW6

- dispersion, see Dispersion

- energy BO4, ST4, H18

- Green's function, see Green's function

- Hamiltonian

- instability, see Plasma

- pole approximation

Time dependent - -

- self-energy, see Self-energy

- spectrum, see Plasmon energy

Kinetic equation for - BO2, D11

Polarization ST2-4, ST7, T2, T3, H7

- approximation SL2

- function M5, M8, D6, D9, T4, H7

- function beyond RPA D1, T1, KW1,
see also Bethe-Salpeter equation

RPA - - BO3, D10, V5

Interband - H12, KL10, KL12-13

Intraband - KW4, HH6

see also Dielectric function

Positronium M4, M9

Potential

Chemical -

Coulomb -, see Coulomb

Debye - BO4, GE2, HA3, H14, KL4, MO3

- energy, see Energy

Effective - FB3

Pseudo -, see Pseudo potential

Shielded - B13, V1

Yukawa -

Pressure, see Equation of state

- ionization, see Ionization

Production rate BZ1-8,
see also

Scattering rate

Dielectric -, see Dielectric

Anomalous (off-diagonal) - I1, I3, KW1, KW3-6

Interband - KW1

Quasiparticle -, see local approximation

Retarded/advanced - L3-4, I3
see also Green's function(s)

Pseudo potential I1, FB3

Kelbg - FB5

Momentum dependent -

QCD V1, G3, MM2, O8, BL1

QED M2, D1, V1, V3

Quantum

- chromodynamics see QCD

- coherence M12, HH12

- dot J8, J13-14, J16-17, J19

- dynamics F1-8

- electrodynamics see QED

- field theory M1-14

- Hall effect V2

- Monte Carlo see Monte Carlo

- point contact J1-2

- trajectory FL1-8, F2-3

- transport B1-16, IV1, IV9, I3, I8, I11,
see also Kinetic equations

- unit of conductance J2-4

- well MI1, KL13,
see also Electron gas, two-dimensional

Quark-Gluon plasma -, see Plasma

Quasilinear theory

- for quantum systems D13

Classical - D13-14

Quasiparticle approximation B11, LI8-9, KL10, L2, L4, MZ7, PS2, PS6, V6, I10

Extended - MO7

Rabi

- energy ST2-3, H13

- flopping H20

- oscillations ST6

Random phase approximation, see RPA

Relativistic effects

Relaxation KL9-11, SL6, ST4-7

- of kinetic (correlation) energy BO8, HA4, HA7, KR9, SE8

- time

- - approximation SM2, BL8

Resonances IV6, L2

Resonant tunneling
see tunneling

Resonant tunneling diode J10

Retardation

- corrections,
see also Correlation corrections

- effects H27

- expansion,
see also Gradient expansion

Reversibility

- of non-Markovian kinetic equations

-meson IV6

Rotating wave approximation GA3, K2, ST1, ST3

RPA D13, GA4, GE3, GE6, MI5, SL3, H10
see also Polarization

Runaway of electrons KL18

S-matrix J15

Saha equation, see Mass action law

Scanning tunneling microscope J8

Scattering SL5

- cross section BE3, GE3

- rate(s) GE2-4, H13

In-medium - BE3-7, BZ1, GE1

Schwinger-Keldysh contour B10-13, BR4, D9, KR2, MI4, SL2, T2, I11, RM8, MR3, H10

Schwinger mechanism of pair creation , see Pair creation

Screened ladder approximation BR5, GE1,
see also T-matrix

Screened potential HH6, HH8, SL3, V1, H8

Two-time - BO3, HH6, MI5

Screening

Dynamic - D11, GE1, GE3, GE5, GE8, MZ5, SL5, V1, H8

Buildup of - - BO3, HH6, HH8, MI12

Static - GE2, GE6, SL5, H14

Self-energy M5, D9, KR2, KR5, T1-4, H9

Approximations for -

Beliaev - - I5, I7, I14

Bogolyubov - - I5, I7, I14

Born - - D14, GE2, KL5, KR8, L6, L8, K2, SE3, SL6

Hartree-Fock - - B8, B13, BE3, HA3, HA5, KL3, MI3, MZ2-3, I5, I7

Polarization (RPA) - - B13, BO3, D13, GE2, HH6, MZ5

T-matrix - - B13, MO7, BR2, GE2, KL4, V3

see also Collision integral

Photon - IV5,
see also Polarization

Relativistic carrier -

Retarded/advanced - BR5, MR5

Semiconductor Bloch equations see Bloch equations

Semiconductor heterostructure see Nanostructures

Shindo approximation BR3-4

Sign problem, fermionic FB1, FB5

Silin ansatz see Ansatz

Single-electron pump J3

Slave-boson Hamiltonian see Hamiltonian

Soft modes IV1

Spectral function M8, B5, LI6, LI8, LI11, IV6, IV10, KL3, KL18, L4, SE1-9, T1, T5-7, G5

- from Kadanoff-Baym calculations KL8, KL10-11, SE6-7

- of the Green's functions M8, B5, I5, I10, I13

non-Lorentzian - SE2, V6

Interband -

see also Green's function

Spectroscopy HH9, HH12

Spin statistics HA1, FB2

Spinor structure MM8

Stark effect MZ1

Statistical operator, see Density operator

Stopping power GE1, GE5-8

Structure factor KW4, KW7-8, H18-19

Sum rule(s) LI12, KW1, KW5-7

Superconductivity M12, B3

Superfluid M12-14, I3, I8

Susceptibility, see Polarization

Symmetry-breaking field I4

TDHF-approximation

Test particle ansatz L1-10

Thomas-Fermi approximation

Tien-Gordon model J18

T-matrix (T-operator) SP3-8, BE3, GE2, KL4

- approximation GE2-3, GE6, KR8, T1, T3-7

- scattering rates GE2

- selfenergy, see Self-energy

Total energy, see Energy

Transmission coefficient J8

Transport equation, see Kinetic equation(s)

Turbulence see Plasma turbulence

Tunneling J5, K6, FL1, FL8

photon assisted - J9, J14, J20

plasmon assisted - J12

resonant - and phonons J10

Turnstile J3

Universal conductance fluctuations, see Fluctuation(s)

Vertex correction B4, T3, T5, KW5-7

Vertex function

Approximations for -

Virial expansion

Vlasov

- dielectric function, see RPA

- (kinetic) equation see Kinetic equation(s)

Von Neumann equation M7, M9, PS3, PS7, MM7, RM6

Walecka model MM3, PS2, PS6

Wave packet

- dynamics/propagation FL1, FL5-6

Weak localization J3

Weyl's symbol F1

Wick decomposition MR1, RM3

Wick theorem B12, MR1

Wide-band limit J7

Wigner

- distribution M8, LI3-4, LI10-13, MO2, BR2, PS1, PS3-4, SE3, I10, H12, H16, FL1, KL3, KL11-12

- representation PS1-7, FL1-8, F1

- transform LI3, KO6, L2-3, PS5

Wigner-Weisskopf approximation HH7, SE1, ST3,
see also Spectral function

Wilkins rules see Langreth (-Wilkins) rules

Yukawa potential, see Potential

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