Atomic StructureCUP Archive, 30 mai 1980 - 658 pages Professor E. U. Condon's The Theory of Atomic Spectra was the first comprehensive book on the electron structure of atoms, and has become a world-renowned classic. Originally published in 1980, Atomic Structure was the late Professor Condon's final contribution to the literature of this field. Completed by his colleague and former student Halis Odabşi, this book was one of the first integrated accounts of the subject to include such developments as group theory concepts and Racah methods. In addition, Professor Condon presents valuable background information on the history and development of quantum theory. Atomic Structure provides an excellent survey of the field and Professor Condon's unique personal insights will make the book attractive both to practising physicists and advanced undergraduate students. |
Table des matières
Prequantum mechanical developments | 1 |
2 The nuclear atom model | 4 |
Tables 1 Atomic numbers and symbols of the elements page | 6 |
3 Spectroscopy before the twentieth century | 10 |
The wavelengths of the first four Balmer lines | 12 |
4¹ Introduction of Plancks constant | 14 |
5 Einsteins paper on light quanta | 21 |
6 Heat capacity of solids and gases | 25 |
Racah methods | 235 |
Tensor operators and their matrix elements | 236 |
RussellSaunders term energies for twoelectron systems | 240 |
Projection operators wave functions for twoelectron systems | 245 |
Threeelectron systems | 247 |
Energy matrices for the spp spp and d²p configurations | 251 |
Equivalentelectron orbitals coefficients of fractional parentage | 254 |
Coefficients of fractional parentage for the p³ and d³ configurations | 257 |
7¹ The Bohr model for hydrogen | 28 |
8 Excitation of spectra | 35 |
9¹ Alkali spectra | 39 |
10¹ Xray spectra | 45 |
11 The periodic system Pauli exclusion principle | 49 |
12 Bohrs correspondence principle | 51 |
3¹ Periodic table of the elements in traditional form | 52 |
4¹ Periodic table of the elements by electron configuration | 53 |
13 Waves and photons | 60 |
14 The discovery of quantum mechanics | 64 |
Principles of quantum mechanics | 72 |
Mathematical formalism | 73 |
Physical postulates | 86 |
The uncertainty principle | 95 |
The statistical operator density matrix | 97 |
The momentum representation | 99 |
Symmetry group of the Hamiltonian | 101 |
Indistinguishable particles | 105 |
variation method | 114 |
discrete energy levels | 116 |
change of coupling | 121 |
timedependent | 123 |
WentzelBrillouinKramersJeffreys approximation | 130 |
Angular momentum | 136 |
Matrices for angular momentum | 141 |
Addition of two angular momenta | 144 |
mm2 m₂ j1 12j m | 149 |
mm2 m₂ j₁ 32j m M2j1 | 150 |
Orbital angular momentum | 153 |
Legendre polynomials P2 | 156 |
Spherical harmonics Yl m 0 4 | 157 |
Spinangular momentum | 160 |
Transformation of the a j m under rotations | 165 |
Irreducible tensors | 169 |
Tensor products of irreducible tensors | 175 |
Coupling of more than two angular momenta | 177 |
Centralfield approximation | 184 |
Hydrogenic atoms discrete energy levels | 186 |
Radial functions for hydrogenic atoms | 189 |
Normalized hydrogenic radial functions | 190 |
Mean values of r with hydrogenic radial functions | 194 |
General trends of Won l and Pn l r | 197 |
Term structure of configurations | 199 |
Parentage of terms | 202 |
Term energies by the diagonal sum rule | 205 |
Ms M₁ analysis for pp and p² configurations | 206 |
Ms M₁ analysis for p²p configuration | 208 |
Evaluation of Nelectron matrix elements | 209 |
RussellSaunders terms for nl configurations | 210 |
Oneelectron centralfield integrals | 213 |
ckla ma lь mo | 216 |
7¹ Averagepair interaction energy Ava b | 222 |
Deviation interaction energies Ena la ma msa no | 223 |
Coulomb interaction integrals | 226 |
RussellSaunders term energies | 227 |
RussellSaunders wave functions | 229 |
10¹ The analysis for the configuration d³ | 233 |
p³aSLp² aSLp² | 262 |
25a d³ aSL daSLd² | 263 |
Seniority scheme | 265 |
Energy matrices for the a configurations | 267 |
Alternative method for the a configurations | 271 |
Energy matrices for the ab configurations | 276 |
d³aSL 35U2 d³ aSL | 277 |
daSL 35 U2d5 aSL 2 | 278 |
Van Vlecks theorem | 280 |
Alternative method for the ab configurations | 282 |
d³aSL 30V¹¹ d³aSL | 289 |
daSL 30V daSL | 290 |
Configurations containing almostclosed shells | 291 |
daSL 30V daSL | 294 |
Grouptheoretical methods | 307 |
Abstract group theory | 308 |
2º Group representations | 313 |
Group characters | 320 |
Group algebra | 323 |
Symmetric permutation groups Sn | 329 |
ClebschGordan coefficients simply reducible groups | 337 |
Young operators | 340 |
The Lie algebras of simple and semisimple Lie groups | 344 |
The classification of simple Lie algebras root figures and Dynkin diagrams and the generators of the classical Lie groups | 349 |
Classification of the irreducible representations of the simple and semisimple Lie groups | 356 |
Homomorphism and isomorphism of Lie algebras and Lie groups Casimir operators invariant integration infinitesimal matrices | 359 |
Two and threedimensional rotation groups and their representations | 363 |
Spinor representations and the unimodular unitary group SU2 | 370 |
Applications of group theory | 376 |
The generators constructed from creation and destruction operators | 377 |
Seniority scheme quasispin classification of the terms for the nda configurations | 389 |
Classification of RussellSaunders terms of the d | 396 |
WignerEckart theorem classification of the operators Coulomb interaction | 399 |
Classification of the operators TSL for the p d and | 404 |
Numbers CW1 1 0 | 410 |
Coefficients of fractional parentage for f configurations | 417 |
WUWU + f² for W 000 100 110 200 | 418 |
Quasiparticle scheme | 420 |
Reducedmatrix elements pl O ple | 427 |
The fourdimensional orthogonal group and the hydrogen atom | 431 |
Dynamical groups | 437 |
HartreeFock theory ThomasFermi model | 449 |
The ThomasFermi field | 451 |
ThomasFermi Pox | 454 |
Hartree and HartreeFock fields | 462 |
28b HF values of IPa S L Wb S L Wa S | 474 |
4a The parameters of the radialbasis functions for | 481 |
Negative of the oneelectron energy parameters a | 483 |
Configuration structure | 491 |
Value of the Rydberg constant for elements with | 509 |
The observed values of ionization potentials for the ns2np | 527 |
149a Differences in term energies for the np² configuration | 534 |
Appendixes | 553 |
| 613 | |
| 641 | |
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Expressions et termes fréquents
algebra angular application approximation associated atomic average basis becomes calculations called coefficients combination commutation complete components configuration considered constant contains continuous corresponding coupling defined dependence determinant diagonal direct effect electron energy equal equation example expressed factor field Figure given gives hydrogen increasing indices integrals interaction irreducible representations j₁ known labels levels light linear lines m₁ matrix elements means mechanics method momentum multiplication normal observed obtained operators orbitals parameters particle particular physics positive possible potential proper values properties quantum quantum mechanics radial reduced relation relative representation represented respectively result roots rotation rule shows simple solution space specific structure symbols symmetry Table tensor theory tion transformation unit unitary values vector wave functions weight write written zero