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Mukamel S. — Principles of Nonlinear Optical Spectroscopy
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Название: Principles of Nonlinear Optical SpectroscopyАвтор: Mukamel S. Аннотация: This textbook presents a systematic and unifying viewpoint for a wide class of nonlinear spectroscopic techniques in time domain and frequency domain. It is directed towards active researchers in physics, optics, chemistry, and materials science, as well as graduate students who enter this complex and rapidly developing field.
Язык: Рубрика: Физика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1995Количество страниц: 576Добавлена в каталог: 20.03.2008Операции: Положить на полку |
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Green function, expression, poles of 65 Green function, expression, population 207 Green function, expression, projections 67 68 Green function, expression, retarded 34 64 Green function, expression, single particle 495 496 Green function, expression, single-exciton 492 Green function, expression, solution 488—491 Green function, expression, solution, complete factorization into two-particle variables 490—491 Green function, expression, solution, exciton population variables 490 Green function, expression, solution, for nonlinear response 520—521 Green function, expression, solution, local-field approximation 488—489 Green function, expression, solution, two-exciton variables 489—490 Green function, solution of Maxwell equation 108—109 Green function, tetradic, in Liouville space 446 Green function, three-particle 491 Green function, time domain, in Hilbert space vs. Liouville space 581 Green function, time evolution of Liouville space-generating function and 355 Green function, two-exciton 487 499 Green function, two-exciton, scattering matrix expression for 493 518—519 Green function, zero-order 65 518 Ground state 192 226—227 236 271 Ground state, density operator, classical 241 Ground state, electronic polarizability 384 Ground state, fluctuations 192 Ground state, global 483 Ground state, potential surface 199 Ground state, propagation 411 Ground state, vibronic manifold 245 Haken — Strobl model 509 510 517 Hamiltonian 12 56 218 245 Hamiltonian for two electronic level system 189 210 448 Hamiltonian in interaction picture 26—30 Hamiltonian, adiabatic 189 349—350 394 Hamiltonian, bath 176 Hamiltonian, Brownian oscillator or Spin-Boson 226 Hamiltonian, canonical transformation 84 Hamiltonian, classical 69 257 Hamiltonian, effective 36 39 68 91 182 414 Hamiltonian, effective matrix 495 Hamiltonian, effective, for doorway state 441—443 Hamiltonian, effective, for Raman scattering 424—430 Hamiltonian, eigenfunctions, basis set for 51 Hamiltonian, eigenstates of 17 65 148 Hamiltonian, excited-state 169 Hamiltonian, expectation value of 100 Hamiltonian, for dephasing 134 169 Hamiltonian, free radiation-field 81 Hamiltonian, Frenkel exciton 471 483 Hamiltonian, ground-state 169 191—192 212 383 Hamiltonian, hermiticity of 25 Hamiltonian, material 29 85 114 471 Hamiltonian, minimal coupling 79—83 80—83 84 Hamiltonian, minimal coupling, partitioning of 84 Hamiltonian, molecular 85 394 Hamiltonian, multilevel 149 Hamiltonian, multimode Brownian oscillator 434 Hamiltonian, multipolar 84—88 87f 91 Hamiltonian, nuclear, operator form for 190 Hamiltonian, nuclear, vibrational 433 Hamiltonian, p.A 84 Hamiltonian, partitioning of 29 36 61 176 Hamiltonian, partitioning of, for Wigner — Weisskopf problem 36—37 Hamiltonian, periodic 31 Hamiltonian, radiation field 86 494 Hamiltonian, reference 192 200 211 350 Hamiltonian, reference, for coherence periods 206—207 Hamiltonian, reference, for semiclassical expansion of coherence Green function 199—200 204—205 Hamiltonian, rotational part of 448 Hamiltonian, semiclassical 91 92 100 112 471 Hamiltonian, Spin-Boson See Brownian oscillator model Hamiltonian, stochastic 225 Hamiltonian, time-dependent 60—61 Hamiltonian, time-dependent, propagation with 23f 23—25 24f Hamiltonian, time-independent 23 59 Hamiltonian, time-independent, retarded Green function for 64 Hamiltonian, time-independent, with time-evolution operator 15—22 Hamiltonian, total 49 113 483 493 Hamiltonian, vibronic part of 448 Hamiltonian, zero-order 62 139 177 Harmonic model for nuclear motions 226 Harmonic oscillators 17 163 164 233 Hartree — Fock approximation 514 Heavyside step function 32 114 Heisenberg equations 88 94 139 425 472 Heisenberg equations for material operator 90—92 Heisenberg equations for polarization 144 Heisenberg equations, general solution, Green function in 139 Heisenberg equations, nonlinear response and 481—482 484 485 Heisenberg equations, nonlinear response function calculations 160—162 Heisenberg equations, radiation-matter interactions and 80 81 82 Heisenberg operator 417 Heisenberg picture 30 63 117 139 140 411 Heisenberg picture, advantages of 470 Heisenberg picture, dipole coupling in 139 Heisenberg picture, expectation value of operator 469 Heisenberg picture, local-field approximation and 483 Heisenberg picture, nonlinear response function calculations 139—140 Heisenberg uncertainty 265 501 Heitler — London approximation 476 489 493—494 Heitler — London approximation, dipole-dipole interaction in 483 Helmholtz theorem 94 104—105 Hermite polynomials 73 Hermitian conjugates 21—22 45 48 59 75 360 374 Hermitian conjugates in Hilbert space vs. Liouville space 58f Hermitian conjugates in response function calculation 140 Hermitian conjugates of arbitrary Liouville space operator 66 Hermitian conjugates of product of Liouville space operators 66 Hermitian conjugates, doorway state 442 Hermitian conjugates, impulsive photon echoes and 303 Hermitian conjugates, infinitesimal evolution operator and 25 Hermitian conjugates, interaction picture and 29 61 62 Hermitian conjugates, Liouville space-generating function and 346 Hermitian conjugates, tetradic notation and 55 Hermitian conjugates, third-order response function and 198 Hermitian conjugates, time evolution of density operator and 51 Hermiticity in Liouville space 66—67 Hermiticity of density operator 40l 47 Heterodyne detection 99 127 321 413 Heterodyne detection and Raman spectroscopy See Pump-probe spectroscopy Heterodyne detection of optical Kerr 445 Heterodyne detection of transient grating, vibrational contribution to 450—451 Heterodyne detection of wave mixing, polarization and 99—100 Heterodyne detection, advantages of 445 Heterodyne detection, intrinsic 100 Heterodyne Raman measurements 446 Heterodyne-detected stimulated photon echo (HSPE) 299—301 300f 312 Heterodyne-detected stimulated photon echo (HSPE) in-phase and in-quadrature signals 341 Hilbert space 76 116 117 147 Hilbert space vs. Liouville space 58f Hilbert space, basis set of functions 54 Hilbert space, coherence vs. population dynamics in 199 Hilbert space, completeness condition for 16 56 Hilbert space, definition of 15 41 Hilbert space, density operator in 76 Hilbert space, Green functions and causality in 31—34 Hilbert space, interaction picture 26—30 63 Hilbert space, Magnus expansion and 30—31 Hilbert space, multitime correlation functions 143 Hilbert space, nonlinear response in 136—138 Hilbert space, notation 347 Hilbert space, operator 265 Hilbert space, operator, Liouville space vector for 55 Hilbert space, orthonormal basis set for 16 Hilbert space, outer products of vectors 56 Hilbert space, projection operators, reduced equations of motion and effective Hamiltonians 34—39 37f Hilbert space, second-order response form 119 Hilbert space, third-order response function representation, Liouville space representation 196—199 197f Hilbert space, time evolution operator and 25—26 Hilbert space, time ordering and 23f 23—25 24f Hilbert space, time-evolution operator with time-independent Hamiltonians and 15—22 Hilbert space, unit operator in, Wigner representation and 72 Hilbert space, wavefunction, nonlinear response function calculations 159—160 Hilbert space, wavefunction, time evolution of 55 Hole-burning spectroscopy 4 133 321—322 336—338 372f 388 Hole-burning spectroscopy of protoporphyrin-IX substituted myoglobulin 371f Hole-burning spectroscopy, Fourier transform relationship with pump-probe spectroscopy 340—343 342f Hole-burning spectroscopy, inhomogeneous broadening and 294 Hole-burning spectroscopy, lineshapes 338 Hole-burning spectroscopy, persistent 388 Hole-burning spectroscopy, phase locking in pump probe spectroscopy and 312 Hole-burning spectroscopy, spectral diffusion and 385—389 387f 389f Hole-burning spectroscopy, time-dependent Stokes shift 372 Hole-burning spectroscopy, time-resolved 369 371 Homodyne detection 413 Homodyne detection for coherent Raman scattering 415 Homodyne detection with off-resonant picosecond Raman measurements 445 Homodyne detection, echo techniques 303 Homogeneous broadening 169—173 188 293 Homogeneous broadening in frequency domain 343 Homogeneous broadening, cumulant expansion and 223 Homogeneous broadening, impulsive pump-probe spectroscopy 335 Homogeneous broadening, Lorentzian 338 Homogeneous broadening, microscopic definition of 144 172 Homogeneous broadening, overdamped Brownian oscillator model and 389—391 391f—393f Homogeneous broadening, photon echo spectroscopy and 304 Homogeneous broadening, pure dephasing rate and 187 Homogeneous broadening, selective elimination 133 Homogeneous dephasing 290 Homogeneous medium, of noninteracting particles 127—128 HSPE (heterodyne-detected stimulated photon echo) 299—301 300f HSPE (heterodyne-detected stimulated photon echo), in-phase and in-quadrature signals 341 Huang — Rhys factor 218 221 333 Hydrogen atom 17 Hyperpolarizability 122 462 479 ICN photodissociation 397—398 398f 399f 405 Idempotent projection operators 35 Impulsive (femtosecond) coherent anti-Stokes Raman spectroscopy 420 421f Impulsive limit 301 Impulsive photon echoes 301—304 302f Impulsive Raman spectroscopy 412 412f 414 431 In-phase component 453 In-quadrature component 453 Incoherent accumulated photon echo 317 Incoherent driving limit 183 184 Incoherent measurements 11 In Incoherent photon echo 295 Incoherent scattering 4f Incoming field 261 265 Incoming photon flux 269 Index of refraction 95 Infinitesimal evolution operator 25—26 Inhomogeneous broadening 187 223 293 503 Inhomogeneous broadening in frequency domain 343 Inhomogeneous broadening of absorption and fluorescence lineshapes 386 Inhomogeneous broadening, definition of 294 Inhomogeneous broadening, elimination 295 Inhomogeneous broadening, elimination, in homodyne echo techniques 303 321 503 Inhomogeneous broadening, elimination, selective 289—290 291f—293 292—295 Inhomogeneous broadening, Gaussian profile of 292 Inhomogeneous broadening, heterodyne detection and 321 Inhomogeneous broadening, hole-burning spectroscopy and 337 Inhomogeneous broadening, impulsive pump-probe spectroscopy 333 335 Inhomogeneous broadening, in simulation of optical response functions 289 Inhomogeneous broadening, limits of 188 311 Inhomogeneous broadening, multimode Brownian oscillator model and 209—210 243 Inhomogeneous broadening, spectral diffusion and 201—203 Inhomogeneous distribution function, of electronic transition frequency 290 Inner product of two vectors 41—42 Integral, principal part of 38 Intensity-dependent index of refraction 174 Interaction picture 115 Interaction picture in Liouville space 61—63 Interaction picture, Heisenberg picture and 30 Interaction picture, operators 200 Interaction picture, quantum dynamics in Hilbert space and 26—30 Interaction picture, Schroedinger picture and 27 29—30 Intermediate dephasing 169—173 Intermediate dephasing, microscopic definition 144 Intermediate size systems 188 Intermolecular potential 85 86 Intramolecular vibrational redistribution (IVR) 329f Intramolecular vibrations 217 Invariance, of trace 46 Iodine, phase-locked spontaneous emission 313f Iodobenzene, Raman transient, nuclear part of optical heterodyne for 412—413 413f Isolated particle, linear response in Hilbert space 143 Isolated particle, linear response, Liouville space Green functions for 143 Isomerization 369 Isotropic medium 269 IVR (intramolecular vibrational redistribution) 329f J aggregates 481 503 504f 505f Jahn Teller systems 210 k space See Momentum space (k space) Ket 46 134 136 Ket in Hilbert space 21 22 Ket in phase space 71—72 Ket vs. Liouville space 58t Ket, Liouville space pathways and 148 149 Ket, time derivative of density operator and 50 Kramers — Heisenberg formula 420 Kramers — Kronig relation 143 322 Kramers — Kronig relation, linear response and 144—146 147f Kramers — Kronig relation, response functions and 322 Kroenecker delta 228 470 Lamb shift 495 Landau — Ginzburg equation of second-order phase transitions 473 Langevin equations 233 Langevin equations for Liouville wavepackets 357 358 359 Langevin equations, classical 242 Langevin equations, generalized 228 Langevin equations, rotational 458 Langevin random force and friction 358 Legendre polynomial, second-order 453 Levy walks 224 LFA See Local-field approximation (LFA) LGF See Liouville space-generating function (LGF) Light propagation, linear polarization and 3 Line broadening mechanisms See also Homogeneous broadening; Inhomogeneous broadening Line broadening mechanisms, homogeneous vs. inhomogeneous 133 Line narrowing techniques See Fluorescence line Linear absorption 111 233f Linear absorption, lineshape for 262—263 Linear absorption, moments of 193—196 195f Linear absorption, polarization and 94—96 Linear equations, in Hilbert space vs. Liouville space 58t Linear optical measurements, linear response function 118 Linear optical spectroscopy, density operator and 76 Linear optics 116 linear polarization 3 116 122 Linear polarization in frequency domain 495 Linear response functions 94 150 Linear response in Liouville space 147—149 Linear response of two electronic level system 189f 189—192 Linear response, Kramers — Kronig relations and 144—146 147f Linear response, Liouville space-generating function for 346 Linear spectroscopy vs. nonlinear spectroscopy 3—5 Linear spectroscopy, semiclassical approximations 192 Linear vector spaces, and operators 40—42 Linearly independent vectors 41 Liouville equation for density operator 143—144 441 Liouville equation with pure dephasing rate 187 Liouville equation, classical 70—75 Liouville equation, coupled with Maxwell equation 92—93 Liouville equation, matrix elements 53—54 Liouville equation, optical Bloch equations and 181 Liouville equation, quantum 51 59 Liouville equation, Schroedinger equation and 57 Liouville equation, semiclassical 94 Liouville equation, time-ordered expansion of 62 Liouville equation, total Hamiltonian and 113
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