Prikarpatsky A.K., Taneri U., Bogolubov N.N. — Quantum field theory with application to quantum nonlinear optics :: Электронная библиотека попечительского совета мехмата МГУ

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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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Название: Quantum field theory with application to quantum nonlinear optics

Авторы: Prikarpatsky A.K., Taneri U., Bogolubov N.N.

Аннотация:

Many modern electronic devices are operating with optical signals generated due to the interaction of a working substance like crystal with ar external laser radiation. As in most of these devices the interaction is nonlinear and the processes making them stable arc quantum, it is important tc device and use suitable approaches to studying their equilibrium radiative states subject to the external conditions imposed on a system. A great deal of studies were done concerning the problems of stability, bifurcation behaviour and dynamical properties of atomic and molecular systems having applications in optical bi-stability of a laser cavity with a nonlinear crysta] medium, in some microelectronics and other devices based on nonlincai interaction processes with radiation.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 2002

Количество страниц: 122

Добавлена в каталог: 24.11.2010

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Предметный указатель

$\varepsilon_{correlation}$       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 $\mu$       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 $\chi$       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 $\varepsilon(q)$       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 $\Delta E$       54
Ensemble      9
Equilibrium radiative state      101
Equilibrium State Analysis      111
Exchange energy of Hartree — Fock type      55
Excitation energy-approximate $\varepsilon_{k}^{(1)}$       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 $\Phi$       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 $\hat{H}_{int}$       15
Hamiltonian, noninteracting $\hat{H}_{0}$       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, $U^{(1,+)}$       21
Interaction potential, $U^{(1,-)}$       21
Kernels (-Self-Energy) $\sum_{i,j}^{*}$ $\sum_{j}^{*}$ $\sum_{0}^{*}$       69
Kerr effect      101
kinetic energy      27
Kroenecker Delta $\delta$       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 $|\Omega_{0}>$       61
Photon zero energy level      88
Picard's iterative procedure      22
Planck's constant      5
Polarization insertion $\Pi(g)$       45
Polarization proper- $\Pi^{*} (g)$       45
Poly-atomic molecules      101
Potential      45
Potential, inter-particle interaction- $U^{2}$       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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