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Chapter 3

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conductors, Boston 2002, ed. by A.A. Efros, to be published 60. E.I. Rashba and G.E. Gurgenishvili: Sov. Phys. Solid State 4 (1962) 759 61. C.H. Henry and K. Nassau: Phys. Rev. B 1 (1970) 1628 62. E. Hanamura: Solid State Commun. 12 (1973) 951 63. T. Itoh, M. Furuyama, T. Ikehara, and C. Gourdon: Solid State Commun.

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66. H. Ishihara and K. Cho: Phys. Rev. B 41 (1990) 1724 67. H. Ishihara and K. Cho: J. Nonlin. Opt. Phys. 1 (1992) 287 68. F.C. Spano and S. Mukamel: Phys. Rev. A40 (1989) 5783 69. F.C. Spano and S. Mukamel: Phys. Rev. Lett. 66 (1991) 1197

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70. H. Ishihara and K. Cho: Solid State Commun. 89 (1994) 837 71. H. Ishihara and K. Cho: Phys. Rev. B 53 (1996) 15823 72. Y. Ohfuti and K. Cho: Phys. Rev. B 51 (1995) 14379 73. M. Orrit, C. Aslangul, and P. Kottis: Phys. Rev. B 25 (1982) 7263 74. J.J. Hopfield and D.G. Thomas: Phys. Rev. 132 (1963) 563 75. Z.K. Tang, A. Yanase, Y. Segawa, N. Matsuura, and K. Cho: Phys. Rev. B

52 (1995) 2640 76. C.F. Bohren and D.R. Huffman: Absorption and Scattering oi Light by Small

Particles, (John Wiley, New York, 1983) 77. K. Cho, M. Nishida, Y. Ohfuti, and L. Belleguie: J. Lumin. 60/61 (1994)

330 78. M. Nishida: MSc. Thesis (Osaka University, 1993, in Japanese) 79. H. Ajiki, T. Tsuji, K. Kawano, and K. Cho: Phys. Rev. B 66 (2002) 245322 80. E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C.P. Klages, and J.P. Han­

non: Phys. Rev. Lett. 54 (1985) 835; W. Sturhahn and E. Gerdau: Phys. Rev. B 49 (1994) 9285

81. G. Birkl, M. Gatzke, I.H. Deutsch, S.L. Roiston, and W.D. Phillips: Phys. Rev. Lett. 75 (1995) 2823; M. Weidemüller, A. Hemmerich, A. Görlitz, T. Esslinger, and T. Hänsch: Phys. Rev. Lett. 75 (1995) 4583

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166 Referenees

8:3. T. Ikawa and K. Cho: J. Lumin. 87/89 (2000) :305; K. Cho and T. Ikawa: phys. stat. sol (b) 215 (1999) 281

84. T. Ikawa and K. Cho: J. Phys. Soe. Jpn. 71 (2002) 1:381 85. T. Ikawa and K. Cho: Phys. Rev. B 66 (2002) 085:3:38 86. E.L. Ivehenko, A.1. Nesvizhskii, and S. Jorda: Fiz. Tverd. Tela (St. Peters-

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(1985) 4275 94. M. Matsuura and Y. Shinozuka: J. Phys. Soe. Jpn. 53 (1984) 3138; G. Bas­

tard, E.E. Mendez, L.L. Chang, and L. Esaki: Phys. Rev. B 26 (1982) 1974 95. N. Oehi, T. Shiotani, M. Yamanishi, Y. Honda, and 1. Suemune: Appl. Phys.

Lett. 58 (1991) 2735 96. Y. Yamamoto, S. Maehida, K. Igeta, and G. Björk: Coherenee, Amplification

and Quantum Effects in Semiconductor Lasers, ed. by Y. Yamamoto (Wiley, New York, 19(1) p. 561

97. C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa: Phys. Rev. Lett. 69 (1992) 3314

98. E.T. Jaynes and F.W. Cummings: Proe. IEEE 51 (1963) 89 99. G.S. Agarwal: J. Opt. Soe. Am. 2 (1985) 480

100. M. Kuwata-Gonokami, S. Inoue, H. Suzuura, M. Shirane, and R. Shimano: Phys. Rev. Lett. 79 (1997) 1341

101. P.G. SavviddiH, J.J. Baumberg, R.M. Stevenson, M.S. Skolnick, D.M. Whit­taker, and J.S. Roberts: Phys. Rev. Lett. 84 (2000) 1547; Phys. Rev. B 64 (2001) 75311

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103. A.L. Ivanov and P.B. Littlewood: Phys. Rev. Lett. 87 (2001) 136403 104. M. Nieto-Vesperinas and N. Gareia (Eds.): Optics at the Nanometer Scale,

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1083 108. S. Kawata, K. Tanaka, and N. Takahashi: referenee [105], Chap. 2 109. E. Betzig and J.K. Trautmann: Scienee 257 (1992) 189 llO. U. Ch. Fischer and D.W. Pohl: Phys. Rev. Lett. 23 (1989) 458 111. K. Cho, Y. Obfuti, and K. Arima: Jpn. J. Appl. Phys. 34, Suppl. 34-1 (1995)

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Chapter 5

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(2003) in print

Index

ABC-free framework 58, 60, 86 additional boundary condition (ABC)

5, 57, 82 adiabatic switch-on 19, 24

background dielectric 42, 47

- dielectric constant 59 - susceptibility 42, 45 Bragg - condition 131 - diffraction 100

cancellation 61, 64 cavity polariton 117 cavity QED 38 center of mass 76 charge density 7, 13 - operator 18 Clebsch-Gordan coefficient 93 coarse graining procedure 26 coherent - length 63, 86 - state 56 - wave approach 11 commutation relation 56 complete set 108 complex roots 34 configuration resonance 123, 126 conservation rules 100 continuity equation 13, 18 Coulomb gauge 7, 13 current density 7, 13 - operator 18

dead layer model 85 decay - channel 101 - rate 108 density matrix 18 depolarization 15 - field 9

DFWM 153 dielectric sphere 90 dipole selection rule 88 dispersion 50 - equation 132 distributed Bragg refiector (DBR) 115 double counting 9, 27, 70 double enhancement 143 dyadic Green function 55

eigenvalue equation 52 electric dipole transition 34, 125, 138 electron-hole - attraction 47 - exchange interaction 9, 40 ensemble average 28 ensemble of photons 56 envelope function 63 even parity 78 extended Lorentz picture 10

Fabry-Perot interference 36, 90 far field 74, 77, 102 feedback 159 Fermi statistics 61 fiuctuation-dissipation theorem 107 forbidden gap 38 four-wave mixing 153 free boson 61 Frenkel exciton 67, 75

gap mode 132 generalized coordinates 7 generalized radiative correction 40,

47, 97 giant oscillator strength 62, 74 golden rule 75, 107 Green function 14 - dyadic 55 - radiation 38 - renormalized 44, 46, 47, 85, 97, 112 guiding principle 74

170 Index

harmonie oscillator 61 heat bath 27 higher multipole 122 homogeneous equation 119 hysteresis effect 15H

image charge 93 incident field 14 indicator of coupling strength 50 induced

charge density 8, 15, 39 - current density 26, 29 - polarization 45 initial - condition 19 - ensemble 28 instantaneous interaction 41 integral kernel 22 integro-differential equations 20 interaction representation 28, 29 internal field 89 inverse matrix 53,) 29 - diagonalization 1'29

Jaynes-Cummings model 116

Lagrange equations 7 lateral dispersion 120 leakage 117 light confinement 90 Lindblad operators 107 linear current density 25 long wavelength app;l'Oximation (LWA)

34, 49, 60, 63, 64, 69, 76, 77, 96, 100, 125, 138, 139

long-range eharacter 80 longitudinal (L) field 7, 8 Lorentz - force 7, 16 - model 10 LT splitting 40 LT-mixed character 8

macroscopie semiclaEsical theory 2 manipulation, mechanical 121 matrix equation 33 Maxwell - boundary eonditions 2, 6, 59 - equations (microscopie) 13 - field 15 mechanical manipulation 121 mieroseopie Maxwell equations 13 Mie resonance 98, 111 mirror charge potential 43

monopoly by single state 74 multiple scattering 119 multipole

expansion 50 field components 78

- radiation 122

near field NIDORES

74, 121 154

non-radiative width 27 non-trivial solution 52 nonlinear suseeptibility 29 nonloeal - response 5 - susceptibility 29 nonlocality 2 nonlocality-induced double resonance

in energy and size (NIDORES) 139 nuclear Bragg diffraction 99

optical - bist ability 158 - lattiee 100 - Stark effect 140 order number 113 oscillator strength 49 outgoing - solution 15 - wave 59

par ametrie amplification 117 Pauli principle 67 Pekar ABC 85 photonie - crystal 105 - gap 105, 115 Poisson equation 7 polarization charge 9 polynomial - equations 20, 22 - series 22, 24 pump-probe proeess 70 pump-indueed absorption 140

Q-factor 111, 116 quantum meehanieal coherence 13

Rabi splitting 116 radiation Green function 38 radiative - correction 26, 27, 34 - deeay 11 - interaction 3 - rate 107

- shift 32 - width 3, 32, 49 Raman scattering 53 reflection mode 121, 125 relativistic correction 18 renormalized Green function 44, 46,

47, 85, 97, 112 resonance condition 34 resonant

enhancement 32, 35, 139 photonic crystal 131 SNOM 123 structure 35

response spectrum 35 retarded interaction 11, 26, 41, 48

saturation 60 scattering process 19 screening 47 selective enhancement 74 self-consistency 4, 19, 33 self-sustaining (SS) mode 35 semiclassical scheme 56 separability 22, 24, 59 separable integral kernel 20 simultaneous cubic equations 31 size enhancement 60 size-resonant effect 139 slowly-varying amplitude approxima-

tion 23 SNOM 121 - resonant 123 spatial

dispersion 6 - structure 34, 89

- variation 33 speed-up effect 39, 99 spin

magnetic moment 18 - singlet 40 - triplet 40 standing wave 135 statistical average 56

Index 171

strong confinement 83 superradiant (SR) mode 104 surface

charge 43, 93 - mode 94

Taylor expansion 68 three-fold commutator 29 time evolution 17 time-ordering operator total reflection 105 transfer matrix 106 - method 132 transition layer model transition polarizability transverse field 7, 14 two-photon absorption

17

84 3, 53

140, 145, 148

vacuum Rabi splitting 116 vector spherical harmonics 92

wave guide mode 108 weak confinement 76, 83, 92 whispering gallery (WG) mode 37,

111

X-ray dynamical scattering 38

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74 Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems Editor: M. Suzuki

75 Electronic Structure and Optical Properties of Semiconductors 2nd Edition By M. L. Cohen and J. R. Chelikowsky

76 Electronic Properties of Conjugated Polymers Editors: H. Kuzmany, M. Mehring, and S. Roth

77 Fermi Surface Effects Editors: J. Kondo and A. Yoshimori

78 Group Theory and Its Applications in Physics 2nd Edition By T. Inui, Y. Tanabe, and Y. Onodera

79 Elementary Excitations in Quantum Fluids Editors: K. Ohbayashi and M. Watabe

80 Monte Carlo Simulation in Statistical Physics An Introduction 4th Edition By K. Binder and D. W. Heermann

81 Core-Level Spectroscopy in Condensed Systems Editors: J. Kanamori and A. Kotani

82 Photoelectron Spectroscopy Principle and Applications 2nd Edition By S. Hüfner

83 Physics and Technology of Submicron Structures Editors: H. Heinrich, G. Bauer, and F. Kuchar

84 Beyond the CrystaIline State An Emerging Perspective By G. Venkataraman, D. Sahoo, and V. Balakrishnan

85 The Quantum Hall Effects Fractional and Integral 2nd Edition By T. Chakraborty and P. Pietiläinen

86 The Quantum Statisties of Dynamic Processes By E. Fick and G. Sauermann

87 High Magnetic Fields in Semiconductor Physics 11 Transport and Optics Editor: G. Landwehr

88 Organic Superconductors 2nd Edition By T. Ishiguro, K. Yamaji, and G. Saito

89 Strong Correlation and Superconductivity Editors: H. Fukuyama, S. Maekawa, and A. P. Malozemoff

Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde K. von Klitzing H.-J. Queisser

90 Earlier and Recent Aspects uf Superconductivity Editors: J. G. Bednorz and K. A. Müller

91 E1ectronic Properties 01" Conjugated Polymers 111 Basic Müdels and Applications Editors: H. Kuzmany, M. Mehring, and S. Roth

92 Physics and Engineering Applications of Magnetism Editors: Y. [shikawa and N. Miura

93 Quasicrystals Editors: T. Fujiwara and T. Ogawa

94 Electronic Conduction in Oxides 2nd Edition By N. Tsuda, K. Nasu, F Atsushi. and K.Siratori

95 Electronic Materials A New Era in MaterialsScience Editors: J. R. Chelikowsiey and A. Franciosi

96 Electron Liquids 2nd Edition By A. Isihara

97 Localization and Confinement of Electrons in Semiconductors Editors: F. Kuchar, H. H"inrich, and G. Bauer

98 Magnetism and the Eledronic Structure of CrystaIs By VA.Gubwov, A.I. Liechtenstein, and A. V. Postnikov

99 Electronic Properties of High-Tc Superconduetors and Related Compounds

Editors: H. Kuzmany, M Mehring. and J. Fink

100 Electron Correlations in Molecules and Solids 3rd Editior By P. Fulde

101 High Magnetic Fields ill Semiconductor Physics 111 Quantum Ha II Effect, Transport and Optics By G. Landwehr

102 Conjugated Conducting Polymers Editor: H. Kiess

103 Molecular Dynamies Simulations Editor: F. Yonezawa

104 Products of Random M atriees in Statistical Physics B y A. Crisanti, G. Paladin, and A.Vulpi:mi

105 Self-Trapped Excitons 2nd Edition By K. S. Song and R. T. Williams

106 Physics of High-Temperature Supereonduetors Editors: S. Maekawa ami M. Sato

107 Eleetronie Properties or Polymers Orientalion and DimensioJnality of Conjugated Systems Editors: H. Kuzmany, M. Mehring, and S. Rot!

108 Site Symmetry in Cryslals Theory and Applicatiom 2nd Edition By R. A. Evarestov and V. P. Smirnov

109 Transport Phenomena in Mesoseopie Systems Editors: H. Fukuyama and T. Ando

110 Superlattiees and Other Heterostruetures Symmetry and Optical Phenomena 2nd Edition By E. L. Ivchenko and G. E. Pikus

III Low-Dimensional Eleetronic Systems New Concepts Editors: G. Bauer. F. Kuchar, and H. Heinrich

I 12 Phonon Seattering in Condensed Matter VII Editors: M. Meissner and R. O. Pohl

113 Eleetronic Properties of High-Te Superconductors Editors: H. Kuzmany, M. Mehring, and J. Fink

1 14 Interatomic Potential and Structural Stahility Editors: K. Terakura and H. Akai

115 Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures 2nd Edition By J. Shah

1 16 Electron Spectrum of Gapless Semiconductors By J. M. Tsidilkovski

1 17 Electronic Properties of Fullerenes Editors: H. Kuzmany, J. Fink, M. Mehring, and S. Roth

I 18 Correlation EITects in Low-Dimensional Electron Systems Editors: A. Okiji and N. Kawakami

119 Spectroscopy of Mott Insulators and Correlated Metals Editors: A. Fujimori and Y. Tokura

120 Optical Properties ofIlI-V Semiconductors The [nfluence of Multi-Valley Band Structures By H. Kalt

121 Elementary Processes in Excitations and Reactions on Solid Surfaces Editors: A. Okiji, H. Kasai, and K. Makoshi

122 Theory of Magnetism By K. Yosida

123 Quantum Kinetics in Transport and Optics of Semiconductors By H. Haug and A.-P. Jauho

124 Relaxations of Excited States and Photo­Induced Structural Phase Transitions Editor: K. Nasu

125 Physics and Chemistry of Transition-Metal Oxides Editors: H. Fukuyama and N. Nagaosa