List of acronyms |
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xi | |
Part I Introduction To Lightatom Interactions |
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3 | (5) |
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1.1 Why was this book written? |
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3 | (1) |
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3 | (1) |
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1.3 Relation to other texts |
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4 | (1) |
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1.4 Formalism of quantum mechanics |
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5 | (3) |
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8 | (22) |
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2.1 Energy states of the hydrogen atom |
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8 | (1) |
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2.2 Angular momentum of the electron in the hydrogen atom |
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9 | (10) |
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19 | (7) |
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2.4 Hyperfine interactions and hyperfine structure of atomic states |
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26 | (1) |
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2.5 Parity of atomic states |
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27 | (3) |
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3 A bit of angular-momentum theory |
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30 | (25) |
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30 | (6) |
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3.2 Quantum-mechanical rotations |
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36 | (3) |
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3.3 The angular-momentum operator |
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39 | (4) |
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3.4 Rotations in the Zeeman basis |
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43 | (2) |
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3.5 Addition of angular momenta; ClebschGordan coefficients |
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45 | (1) |
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46 | (3) |
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3.7 Irreducible tensors and tensor products |
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49 | (2) |
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3.8 The WignerEckart theorem |
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51 | (4) |
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4 Atoms in external electric and magnetic fields |
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55 | (27) |
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55 | (3) |
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4.2 Zeeman effect in the manifold of hyperfine levels, BreitRabi diagrams |
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58 | (4) |
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4.3 Atoms in an electric field: the Stark effect |
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62 | (10) |
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4.4 Combined effect of electric and magnetic fields |
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72 | (3) |
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4.5 Atoms in oscillating fields |
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75 | (7) |
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82 | (27) |
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82 | (6) |
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5.2 Rotation of density matrices |
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88 | (1) |
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5.3 Angular-momentum probability surfaces |
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89 | (1) |
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5.4 Angular-momentum probability surfaces and the density matrix: equivalence and symmetries |
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90 | (2) |
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5.5 Temporal evolution of the density matrix: the Lionville equations |
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92 | (2) |
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5.6 Example: alignment-to-orientation conversion |
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94 | (2) |
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96 | (13) |
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109 | (17) |
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6.1 The light polarization ellipse |
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110 | (4) |
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6.2 Partially polarized light and unpolarized light |
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114 | (2) |
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6.3 Spin angular momentum of polarized light |
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116 | (2) |
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6.4 Spherical basis for light polarization |
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118 | (3) |
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6.5 The polarization density matrix |
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121 | (1) |
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6.6 Angular-momentum probability surfaces for light |
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122 | (1) |
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6.7 Stokes parameters for partially polarized light |
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123 | (3) |
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126 | (33) |
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7.1 Two-level system under the action of a periodic perturbation |
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126 | (3) |
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7.2 Selection rules for electric-dipole transitions |
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129 | (4) |
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7.3 Probability calculation for electric-dipole transitions |
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133 | (8) |
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141 | (3) |
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7.5 Higher-multipole radiative transitions |
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144 | (4) |
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148 | (4) |
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7.7 Two-photon and multi-photon transitions |
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152 | (1) |
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7.8 Visualization of atomic transitions |
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153 | (6) |
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8 Coherence in atomic systems |
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159 | (10) |
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8.1 Dark and bright states |
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159 | (5) |
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164 | (2) |
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166 | (3) |
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169 | (17) |
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9.1 Linear and nonlinear processes; saturation parameters |
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169 | (4) |
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9.2 Optical pumping on closed transitions |
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173 | (10) |
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9.3 Optical pumping on open transitions |
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183 | (3) |
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10 Light-atom interaction observed in transmitted light |
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186 | (33) |
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10.1 Effect of atoms on transmitted light |
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186 | (4) |
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10.2 Magneto-optical effects with linearly polarized light |
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190 | (23) |
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10.3 Perturbative approach |
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213 | (6) |
Part II Advanced Topics |
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11 Nonlinear magneto-optical rotation |
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219 | (20) |
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11.1 Nested nonlinear magneto-optical rotation features |
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219 | (1) |
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11.2 Bennett-structure effects |
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220 | (1) |
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11.3 The role of alignment-to-orientation conversion in nonlinear magneto-optical rotation |
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221 | (3) |
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11.4 Buffer-gas vapor cells |
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224 | (1) |
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11.5 Antirelaxation-coated cells |
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225 | (3) |
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11.6 Optically thick media |
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228 | (6) |
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11.7 Nonlinear magneto-optical rotation with modulated light |
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234 | (5) |
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12 Perturbative and approximate methods for lightatom interactions |
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239 | (18) |
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12.1 Polarization transfer in spontaneous decay |
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239 | (4) |
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12.2 Perturbative solution of the steady-state density matrix |
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243 | (1) |
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12.3 The optical-field case |
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244 | (2) |
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12.4 Repopulation and depopulation |
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246 | (2) |
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248 | (1) |
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12.6 Absorption and optical rotation signals |
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248 | (4) |
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12.7 What kind of atomic polarization can influence the absorption and emission of light? |
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252 | (1) |
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12.8 The broad-line approximation |
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252 | (5) |
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13 Polarization effects in transitions with partially resolved hyperfine structure |
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257 | (14) |
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13.1 Depopulation pumping |
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259 | (4) |
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13.2 Excited state and repopulation pumping |
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263 | (3) |
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266 | (3) |
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269 | (1) |
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13.5 Comparison of different cases |
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269 | (2) |
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14 The effect of hyperfine splitting on nonlinear magneto-optical rotation |
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271 | (18) |
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14.1 Doppler-free transit effect |
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272 | (5) |
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14.2 Doppler-broadened transit effect |
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277 | (3) |
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280 | (3) |
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14.4 Higher nuclear spin and the D2 line |
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283 | (4) |
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14.5 Comparison of quantitative results for different cases |
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287 | (2) |
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15 Coherence effects revisited |
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289 | (14) |
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15.1 Dark and bright states |
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289 | (3) |
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292 | (4) |
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296 | (7) |
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16 Collapse and revival in quantum beats |
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303 | (6) |
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17 Nuclear quadrupole resonance and alignment-to-orientation conversion |
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309 | (5) |
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18 Selective addressing of high-rank polarization moments |
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314 | (15) |
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18.1 General technique and production and detection of the x = 2 and x = 4 moments |
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314 | (5) |
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18.2 Production and observation of the K 6 hexacontatetrapole moment |
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319 | (3) |
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18.3 Production and detection of the hexadecapole moment in the Earth's magnetic field |
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322 | (7) |
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19 Tensor structure of the DC- and AC-Stark polarizabilities |
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329 | (4) |
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20 Photoionization of polarized atoms with polarized light |
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333 | (11) |
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20.1 Photoionization cross-section |
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334 | (2) |
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20.2 Formulas for σ 0,1,2 |
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336 | (3) |
Appendix A Constants, units, and notations |
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339 | (3) |
Appendix B Units of energy, frequency, and wavelength |
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342 | (1) |
Appendix C Reference data for hydrogen and the alkali atoms |
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343 | (1) |
Appendix D Classical rotations |
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344 | (8) |
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D.1 Rotations in the Cartesian basis |
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344 | (3) |
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347 | (5) |
Appendix E Nonlinear magneto-optical rotation with hyperfine structure |
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352 | (6) |
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E.1 Perturbation theory with polarization moments |
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352 | (2) |
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E.2 Doppler-free transit effect |
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354 | (2) |
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E.3 Doppler-broadened transit effect |
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356 | (1) |
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357 | (1) |
Appendix F The Atomic Density Matrix software package |
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358 | (2) |
Bibliography |
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360 | (7) |
Index |
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367 | |