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Prikarpatsky A.K., Taneri U., Bogolubov N.N. — Quantum field theory with application to quantum nonlinear optics |
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Предметный указатель |
57
Active crystal medium 89
Allen and Eberley 79
Amplitude 5
Amplitude of the coherent pump field 91
Anomalous Green's function 105
Atom density 76
Atomic and molecular systems 101
Atomic and molecular systems, bifurcation properties of 101
Atomic and molecular systems, dynamical properties of 101
Atomic and molecular systems, stability of 101
Atomic transitions 75
Average number of photons 89
Bethe — Salpeter equation 53
Bloch — Maxwell 79
Bloch — Maxwell Hamiltonian system 83
Bloch — Maxwell Super-Radiance Quantum Optical Model 79
Bogoliubov 62
Bogoliubov Bose Condensation Assumption 62
Bogoliubov canonical transformation 62
Bohr magneton 18
Bohr radius 51
Bose commutation relationships 19
Bose condensates 107
Bose condensation state 99
Bose System, diagrammatic study of a 61
Bose systems 61
Bose Systems, Nonlinear Quantum Optics 61
Bosonic variables 76
Bosons 15
Brueckner 57
c-number 77
Canonical relationships 13
Charge displacement vector 19
Chemical potential 63
Classical dynamical system 3
Classical motions 4
Coherent monochromatic (laser) 75
Coherent monochromatic (laser) electromagnetic radiation 75
Commutation relations 11
Commutator 12
Compatibility condition 95
Complex parameter 89
Connected diagrams 39
Conservation laws 100
Constraints 97
Coordinate representation for operators 15
Correlation energy 51
Correlation Energy of electron gas at high density 51
Coupling constant 91
Coupling interaction parameter 65
Creation operator 11
Cross-section area 80
Crystal interaction with a laser radiation 62
Crystal medium-nonlinear 101
Crystal polarization 18
Debye frequency 19
Density operator 16
Di-electric function 46
Dicke Model 75
Dipole moment 79
Dirac 6
Dissipative process 102
Down conversion 61
Dynamical state 8
Dyson equation for Green's function 48
Dyson equations 39
Eigenstates 17
Eigenvalue 8
Electromagnetic radiation 75
Electromagnetic radiation, coherent-monochromatic 75
Electromagnetic vector potential 75
Electronics devices, quantum-optical 103
Energy eigenvalues 16
Energy shift 54
Ensemble 9
Equilibrium radiative state 101
Equilibrium State Analysis 111
Exchange energy of Hartree — Fock type 55
Excitation energy-approximate 42
External laser radiation 66
Fermi 9
Fermi electron-hole sea 30
Fermi-field 81
Fermi-statistics relationships 31
Fermion loops-closed 38
fermions 15
Feynman 3
Feynman diagrams 35
Feynman Diagrams, connected 35
Feynman Diagrams, First Order 37
Feynman Diagrams, Fourier transformed form 37
Feynman Diagrams, Second Order 36
Feynman perturbation technique 33
Feynman's rules 37
Fock space 11
Four-momentum 37
Four-momentum, directed 37
Fourier transforms 40
Froehlich Hamiltonian 20
Gell-Mann and Brueckner 57
Gell-Mann and Law 24
Green's function 27
Green's Function, noninteracting 49
Green's Function, self-consistent 49
Green's Functions, exact 68
Ground state energy 25
Ground state energy of electron gas 54
Ground state energy of high density 54
Ground state spectrum calculations 21
Ground state spectrum calculations, the Rayleigh Schroedinger approach 21
Ground state-stable 99
Hamiltonian 7
Hamiltonian, interaction 15
Hamiltonian, noninteracting 61
Hamiltonian, positive definite 98
Hamiltonian, time dependent 61
Harmonic oscillation energy 19
Hartree — Fock approximation 47
Heisenberg equations 21
Heisenberg representation 105
Hilbert Fock Space 85
Hilbert space 7
Hilbert space, two dimensional 75
Hole states 30
Idler 61
Inter level transition frequency 79
Interacting particles 15
| Interaction picture representation 24
Interaction potential 27
Interaction potential, 21
Interaction potential, 21
Kernels (-Self-Energy) 69
Kerr effect 101
kinetic energy 27
Kroenecker Delta 37
Ladder diagrams 52
Lagrangian 4
Lagrangian multiplier 63
Laplacian 7
Lehmann theorem 40
Linear space 5
Many-particle systems 29
Many-Particle Systems, Fermi- and Bose 29
Many-Particle Systems, The Ground States of Fermi- and Bose 29
Molecular Systems 101
Molecular Systems, bifurcation behavior of 101
Molecular Systems, dynamical properties of 101
Molecular Systems, stability of 101
Momentum of a particle 16
Motion in microworld 3
Multi-photon excitations 101
N-particle states 9
Nonlinear Quantum Optical System 101
One-particle states 12
Operation, Convolution 72
Operator evolution 23
Operator momentum 16
Operator Particle-Number 21
Operator Polarization 45
Operator time-ordering 23
Operator, annihilation 11
Operator, bose 93
Operator, creation 11
Operator, Destruction-(Annihilation-) 11
Operator, Population 80
Operator, scattering 33
Operator, spin 17
Operator, trace 27
Optical bi-stability 101
Parametric down conversion process 85
Parametric Quantum Optical Amplifier 85
Parametric Quantum Optical Amplifier, A Degenerate 85
Parametric Quantum Optical Amplifier, A Non-degenerate 93
Parametric up conversion process 100
Particle density 42
Particle motion-quantum mechanical 4
Particle permutation 9
Particle states 30
Pauli 9
Perturbation Series Expansion 107
Perturbation Series Expansion, The Feynman Diagram Approach 107
Perturbation theory 75
Phase of coherent pump field 91
Phonon energy of a crystal 19
Photon ground state 61
Photon zero energy level 88
Picard's iterative procedure 22
Planck's constant 5
Polarization insertion 45
Polarization proper- 45
Poly-atomic molecules 101
Potential 45
Potential, inter-particle interaction- 45
Potential, screening-U*(q) 46
Probability amplitude 3
Propagation of 1-photon 71
Propagation of 2-photon 71
Propagation of an external laser's photon 71
Pump depletion 91
Pump field (coherent) 91
Pump mode 85
Pump mode, classical 85
Quantum correlations between the modes 93
Quantum field theory 14
Quantum Hamiltonian 93
Quantum Mechanics in Microworld 3
Quantum N-soliton 83
Quantum Optical Model 79
Quantum Optical Model, The Bloch — Maxwell Super-Radiance 79
Quantum Optical Phenomena Methods of 3
Quantum Optics System- A Two-Mode Nonlinear 93
Quantum physics 20
Quantum States and Statistics 9
Quasi momentum 82
Quasi normalized 24
Quasi particle spectrum 99
Quasi particle states 86
Quasi-particle 82
Quasi-particle, excited 82
Quasi-photon states-stable 93
Resonance photons 80
Scalar product 17
Schroedinger 3
Schroedinger equation 16
Screening potential 46
Second quantization 14
Second quantization representations 14
Self-energy insertion 39
Signal quanta 66
Singularities of Green's function 40
Spin summation 38
Standard conditions 67
Standard normal ordering 35
States, anti-symmetrical 9
States, symmetrical 9
Stationary states 8
Stationary states of quantum system 8
Super radiance 83
susceptibility 86
Susceptibility, nonlinear 85
Symmetrization 9
Symmetrization, anti 9
Symmetrized (anti-) Hilbert spaces 10
Tensor form of one-particle state 12
Tensor product 10
Thermodynamic properties 77
Topologically distinct connected diagrams 37
Trace operator 27
Trajectories 5
Two-mode systems 93
Unperturbed energy 47
Vacuum state 10
Wave function 6
Wick theorem 33
Wick Theorem and Feynman Diagrammatic Expansion 33
Wiegman — Rupasov approximation 80
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