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Mukamel S. — Principles of nonlinear spectroscopy
Mukamel S. — Principles of nonlinear spectroscopy



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Название: Principles of nonlinear spectroscopy

Автор: 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: en

Рубрика: Физика/Электромагнетизм/Оптика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 543

Добавлена в каталог: 22.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Green function, anharmonic oscillator picture and      513
Green function, one-exciton      487
Green function, one-sided Fourier transform      120
Green function, partitioning of      35—36
Green function, poles of      65
Green function, retarded      34 64
Green function, single particle      495 496
Green function, single-exciton      492
Green function, tetradic, in Liouville space      446
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 dephasing      134 169
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, 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 stochastic
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      40t 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 in-phase and in-quadrature signals      341
Hilbert space      76 116 117 147
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, vs. 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, vs. Liouville space      58f
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 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      111n
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 elimination      295
Inhomogeneous broadening elimination in homodyne echo techniques      303 321 503
Inhomogeneous broadening elimination, selective      289—290 291f—293 292—295
Inhomogeneous broadening in frequency domain      343
Inhomogeneous broadening in simulation of optical response functions      289
Inhomogeneous broadening of absorption and fluorescence lineshapes      386
Inhomogeneous broadening, definition of      294
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, 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 Hilbert space vs. Liouville space      58t
Ket in phase space      71—72
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
Light propagation, linear polarization and      3
Line broadening mechanisms      see also Homogeneous broadening Inhomogeneous
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, semiclassical approximations      192
Linear spectroscopy, vs. nonlinear spectroscopy      3—5
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
Liouville equation, Wigner transform and      75
Liouville space      13 42 117
Liouville space and tetradic notation      53—58 58t
Liouville space pathways      112 211 223 282 323 340 501
Liouville space pathways for nonlinear response functions      149 394f 394—395
Liouville space pathways for nonlinear response functions, generation of      347—349
Liouville space pathways for nonlinear response functions, rotational contribution to      446 448
Liouville space pathways for spontaneous light emission processes      267 268f
Liouville space pathways for three-pulse time-domain four-wave mixing      296 296f
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