Book123

    Free register and download UseNet downloader, then you can FREE Download from UseNet.

    Download without Limit " Science/Engineering The Theory of Atomic Spectra: E. U. Condon, G. H. Shortley " from UseNet for FREE!

More

The Theory of Atomic Spectra: E. U. Condon, G. H. Shortley

Condon and Shortley has become the standard comprehensive work on the theory of atomic spectra. The first two chapters contain a brief historical introduction and an exposition of quantum mechanics along the lines formulated by Dirac. Then follow sixteen chapters devoted to a unified, logical deduction of the structure of the spectra of atoms from quantum mechanical principles. The theory is given in full detail and the results are amply documented with comparisons with experimental observations. When first published, a reviewer in Nature said that 'Its power and thoroughness leave the general impression of a work of the first rank, which successfully unifies the existing state of our knowledge, and will prove for many years a starting point for further researches and an inspiration to those who may undertake them'. Subsequent reviewers have amply confirmed these views. Science in 1952 commented that it 'has served half a generation and as a guide in further detailed research', and Reviews of Modern Physics in 1957 that this 'monumental book … continues to be the most comprehensive account of our understanding of atomic spectra - the fruit of several decades' intensive study by a great number of physicists of all countries'.

Table of Contents

Preface to the 1963 impression xiii

Preface xiv

Chapter I Introduction 1

Chapter II The Quantum Mechanical Method 12 Section 1 Symbolic algebra of states and observables 12 Section 2 Representations of states and observables 15 Section 3 Continuous eigenvalues and the Schrodinger representation 20 Section 4 The statistical interpretation 24 Section 5 The laws of quantum mechanics 25 Section 6 Schrodinger's equation 26 Section 7 Matrix mechanics 27 Section 8 Perturbation theory 30 Section 9 Resume of the perturbation theory 34 Section 10 Remarks on the perturbation theory 35 Section 11 Perturbation caused by a single state 37 Section 12 The analysis of non-commuting vectors 43

Chapter III Angular Momentum 45 Section 1 Definition of angular momentum 45 Section 2 Allowed values of angular momentum 46 Section 3 The matrices of angular momentum 48 Section 4 Orbital angular momentum 50 Section 5 Spin angular momentum 54 Section 6 Vector addition of angular momenta 56 Section 7 The matrix of [characters not reproducible] 58 Section 8 Matrix of T in the j m scheme. Selection rule on j 59 Section 9 Dependence of the matrix of T on m 61 Section 10 The matrices of J[subscript 1] and J[subscript 2], where J[subscript 1] + J[subscript 2] = J 64 Section 11 Matrix of a vector P which commutes with J[subscript 1] 67 Section 12 Matrix of P.Q 70 Section 13 Sum rules 71 Section 14 Transformation amplitudes for vector addition 73

Chapter IV The Theory of Radiation 79 Section 1 Transition probabilities 79 Section 2 Classical electromagnetic theory 83 Section 3 Expansion of the retarded potential 84 Section 4 The correspondence principle for emission 87 Section 5 The dipole-radiation field 90 Section 6 The quadrupole-radiation field 93 Section 7 Spectral lines in natural excitation 97 Section 8 Induced emission and absorption 100 Section 9 Dispersion theory. Scattering. Raman effect 103 Section 10 Natural shape of absorption lines 109

Chapter V One-Electron Spectra 112 Section 1 Central-force problem 112 Section 2 Radial functions for hydrogen 114 Section 3 The relativity correction 118 Section 4 Spin-orbit interaction 120 Section 5 Sketch of the relativistic theory 125 Section 6 Intensities in hydrogen 131 Section 7 Experimental results for hydrogenic spectra 137 Section 8 General structure of the alkali spectra 141 Section 9 Intensities in alkali spectra 147 Section 10 Zeeman effect 149

Chapter VI The Central-Field Approximation 158 Section 1 The Hamiltonian for many-electron atoms 158 Section 2 Equivalence degeneracy 160 Section 3 The dynamical equivalence of the electrons 162 Section 4 The Pauli exclusion principle 166 Section 5 Conventions concerning quantum numbers. Closed shells 168 Section 6 Matrix components for [Sigma subscript i]f(i) 169 Section 7 Matrix components for [Sigma subscript i,j]g(i, j) 171 Section 8 Matrix components of electrostatic interaction 174 Section 9 Specialization for closed shells 177 Section 10 One electron outside closed shells 183 Section 11 Odd and even states 185

Chapter VII The Russell-Saunders Case: Energy Levels 187 Section 1 The LS-coupling scheme 188 Section 2 Term energies 191 Section 3 The Lande interval rule 193 Section 4 Absolute term intervals 195 Section 5 Formulas and experimental comparison 197 Section 6 Terms in the nl[superscript x] configurations 207 Section 7 The triplet terms of helium 210

Chapter VIII The Russell-Saunders Case: Eigenfunctions 213 Section 1 Vector coupling in antisymmetric states 213 Section 2 Genealogical characterization of LS-coupling terms 216 Section 3 Lande intervals for terms of coupled groups 219 Section 4 Calculation of eigenfunctions by direct diagonalization 220 Section 5 Calculation of eigenfunctions using angular-momentum operators 226 Section 6 Calculation of eigenfunctions from vector-coupling formulas 228 Section 7 Separation of the [superscript 2]D's of d[superscript 3] 233

Chapter IX The Russell-Saunders Case: Line Strengths 236 Section 1 Configuration selection rules 236 Section 2 Line strengths in Russell-Saunders multiplets 237 Section 3 Multiplet strengths in a transition array 244 Section 4 Multiplet strengths obtained from spectroscopic stability 249 Section 5 Quadrupole multiplets 252

Chapter X jj Coupling 257 Section 1 The jj-coupling scheme and the spin-orbit interaction 257 Section 2 The addition of a weak electrostatic interaction 259 Section 3 Eigenfunctions 262 Section 4 Line strengths 264

Chapter XI Intermediate Coupling 266 Section 1 Matrix of spin-orbit interaction for configurations consisting of coupled groups 266 Section 2 Matrix of spin-orbit interaction obtained from the eigenfunctions 270 Section 3 Illustrations of the transition from LS to jj coupling 271 Section 4 Line strengths in intermediate coupling 277 Section 5 The forbidden lines of astrophysical interest 282

Chapter XII Transformations in the Theory of Complex Spectra 284 Section 1 Configurations containing almost closed shells 284 Section 2 The transformation to LS coupling 285 Section 3 The transformation to jj coupling 287 Section 4 The transformation between zero-order states 287 Section 5 The transformation nlm[subscript s]m[subscript i] [left harpoon over left] nljm 290 Section 6 The transformation jjJM [left harpoon over left] SLJM 291

Chapter XIII Configurations Containing Almost Closed Shells. X-Rays 295 Section 1 The electrostatic energy in LS coupling 295 Section 2 The spin-orbit interaction 299 Section 3 Pure almost-closed-shell configurations 300 Section 4 The rare-gas spectra 301 Section 5 The configurations p[superscript 5]s and d[superscript 9]s 304 Section 6 The configuration p[superscript 5]p in the rare gases 306 Section 7 The configuration p[superscript 5]d in the rare gases 312 Section 8 Line strengths 316 Section 9 X-ray spectra 316 Section 10 Line strengths in X-ray spectra 322 Section 11 X-ray satellites 323

Chapter XIV Central Fields 327 Section 1 The periodic system 327 Section 2 The statistical method of Fermi-Thomas 335 Section 3 The Wentzel-Brillouin-Kramers approximation 339 Section 4 Numerical integration of the radial equation 344 Section 5 Normal state of helium 345 Section 6 Excited levels in helium 348 Section 7 Normal states of first-row atoms 351 Section 8 Hartree's self-consistent fields 354 Section 9 Survey of consistent-field results 358 Section 10 Self-consistent fields for oxygen 362

Chapter XV Configuration Interaction 365 Section 1 Interaction of sd and p[superscript 2] in magnesium 366 Section 2 Perturbed series 367 Section 3 Auto-ionization 369 Section 4 Many-electron jumps 375 Section 5 Spin-orbit perturbation of doublet intensities 376

Chapter XVI The Zeeman Effect 378 Section 1 The 'normal' Zeeman effect 378 Section 2 The weak-field case: Russell-Saunders terms 380 Section 3 Weak fields: general case 384 Section 4 Intensities in the Zeeman pattern: weak fields 386 Section 5 The Paschen-Back effect 388 Section 6 The Paschen-Back effect: illustrative examples 390 Section 7 Quadrupole lines 395

Chapter XVII The Stark Effect 397 Section 1 Hydrogen 398 Section 2 Stark effect at the series limit 404 Section 3 General theory for non-hydrogenic atoms 409 Section 4 Helium 413 Section 5 Alkali metals 415

Chapter XVIII The Nucleus in Atomic Spectra 418 Section 1 Effect of finite mass 418 Section 2 Local nuclear fields 420 Section 3 Nuclear spin in one-electron spectra 421 Section 4 The hyperfine structure of two-electron spectra 424 Section 5 Zeeman effect of hyperfine structure 426

Appendix Universal Constants and Natural Atomic Units 428 List of Principal Tables 434 Index of Subjects 435 Index of Names 439

Buy Book at Lowest Price on Amazon

To see my other books, click Download Link (Here).

Rating:
2.5 out of 5 by Book123