Weissbluth M. — Atoms and Molecules :: Электронная библиотека попечительского совета мехмата МГУ

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Weissbluth M. — Atoms and Molecules

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Название: Atoms and Molecules

Автор: Weissbluth M.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1978

Количество страниц: 713

Добавлена в каталог: 09.08.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

coupling      441—442 (see also Multielectron atom)
Absorption and emmission      see also Atomic spectra; Molecular spectra; Radiation and atoms
Absorption and emmission, absorption cross sections      520—521
Absorption and emmission, degenerate states      508
Absorption and emmission, Einstein coefficients      510
Absorption and emmission, hydrogen      515—517
Absorption and emmission, induced emission      508
Absorption and emmission, line broadening      517—520
Absorption and emmission, line shape      518 520
Absorption and emmission, line strength      509
Absorption and emmission, numerical computation      515—517
Absorption and emmission, oscillator strengths      512—515
Absorption and emmission, Planck’s law      511—512
Absorption and emmission, selection rules      509
Absorption and emmission, spontaneous emission      508
Absorption and emmission, spontaneous lifetime      510
Absorption and emmission, sum rules      513—515
Absorption and emmission, transition probabilities      505—509
Addition theorem      9
Angular distribution, radiation fields      192—193 503—504
Angular momentum, and rotations      51—53
Angular momentum, Clebsch — Gordan coefficients      25 27—31
Angular momentum, commutators      44—45
Angular momentum, coupling of three angular momenta      36—38 47
Angular momentum, coupling of two angular momenta      22—27 46—47
Angular momentum, definition      13 42
Angular momentum, eigenfunctions and eigenvalues      14—17 45 107—109
Angular momentum, matrix elements      18 45—46
Angular momentum, six (6 symbols)      38—44
Angular momentum, spherical components      44
Angular momentum, three (3 symbols)      12 31—35
Angular momentum, undertime reversal      208
Annihilation operators      see Creation and annihilation operators
Anticommutators      256
Antisymmetric wave functions      214—215 283 254—256 386-387
Atomic spectra      525—535 (see also Absorption and emission; Radiation and atoms; X-rays)
Atomic spectra, helium      527—529
Atomic spectra, hydrogen      525—528
Atomic spectra, Paschen — Back      534—535
Atomic spectra, Stark      535
Atomic spectra, Zeeman      533—534
Atomic units      325
Auger effect      532—533 (see also X-rays
Bessel functions      689—691
Bohr magneton      347
Bom — Oppenheimer approximation      551—555 (see also Molecules)
Bose statistics      see also Bosons
Bose statistics, diatomic molecules      629—631
Bosons      214
Brillouin — Wigner expansion      296 (see also Perturbations)
Build-up principle      392
Cartesian tensors      see also Tensors
Cartesian tensors, and permutation groups      175—178
Cartesian tensors, decomposition      171—175 178—181
Cartesian tensors, dipole coupling      168—170
Cartesian tensors, transformation law      168
Central field approximation      389—394
Clebsch — Gordan coefficients      25 27—31
Clebsch — Gordan coefficients, numerical tables      28—30
Closed shell      see Coulomb interaction; Slater determinant; Hartree — Fock formulation
Closure      685 696
Configuration, average energy      464—465
Configuration, conjugate      476—478
Configuration, interaction      411—412
Continuous groups      177—181 (see also Rotation groups)
Correlation error      410—411
Correlation function      304
Correlation time      304
Coulomb hole      410
Coulomb interaction      see also Electrostatic matrix elements
Coulomb interaction, closed shell      251—253
Coulomb interaction, direct (Coulomb) integral      247
Coulomb interaction, exchange integral      248
Coulomb interaction, matrix elements      244—253
Coulomb interaction, operators      249—250
Coulomb interaction, Racah paramaters      249
Coulomb interaction, Slater — Condon parameters      247—249
Coupled and uncoupled representation      22—26 336
Coupling coefficients      see Clebsch-Gordan coefficients; Three $j$

) symbols
Creation and annihilation operators      254—259 (see also Harmonic oscillator)
Crystal field      see Ligand field
Darwin term      see Hydrogen atom
Density matrices      268—289
Density matrices, equation of motion      278—280
Density matrices, Fock — Dirac      283—285
Density matrices, interaction representation      280
Density matrices, mixed states      260—270
Density matrices, molecular orbitals      558
Density matrices, multielectron system      280—283
Density matrices, one-particle      282
Density matrices, pair function      288
Density matrices, pure states      269—270
Density matrices, random perturbation      301—305
Density matrices, reduced      273—276
Density matrices, spin      271—273 287
Density matrices, spinless      285—289
Density matrices, thermal equilibrium      276—277
Density matrices, two-particle      282
Diagrams      see Electromagnetic interactions; Perturbations
Diamagnetism      354—355 (see also Magnetic field interaction)
Diatomic molecules, electronic states      584—589
Diatomic molecules, Franck — Condon principle      621 622
Diatomic molecules, heteronuclear      587—589 623—624
Diatomic molecules, homonuclear      579—587 624—631
Diatomic molecules, Hund’s cases      614—615
Diatomic molecules, Morse potential      608—609
Diatomic molecules, nuclear spin effect      629—631
Diatomic molecules, ortho and para modifications      631
Diatomic molecules, rotational properties      609—619
Diatomic molecules, selection rules      627—631
Diatomic molecules, symmetry properties      622—631
Diatomic molecules, terms      585—587
Diatomic molecules, transitions      615—631
Diatomic molecules, vibrations      606—609 611 617
Dipole-dipole interaction      168—170
Dirac delta ( $\delta$ ) function      694—696
Dirac equation      313 3 21
Dirac notation      681
Dispersion relations      see Kramers — Kronig relations
Doppler broadening      see Line broadening
Dyson chronological operator      224—225
Eigenvalues and eigenfunctions      684—685
Einstein coefficients      510
Electric field interaction      see also Stark effect
Electric field interaction, hydrogen atom      356—357
Electric quadrupole interaction      374—384
Electromagnetic field, Helmholtz equations      196—198
Electromagnetic field, Maxwell equations      19 6
Electromagnetic field, multipole expansion      196—202
Electromagnetic field, parity      199—200
Electromagnetic interactions      see also Absorption and emission; Radiation and atoms; Scattering
Electromagnetic interactions, diagrams      544—547
Electromagnetic interactions, higher order      536—550
Electromagnetic interactions, nonlinear effects      547—550
Electromagnetic interactions, optical susceptibility      547—550
Electromagnetic interactions, two-photon processes      545—547
Electronic repulsion energy      see Electrostatic matrix elements
Electrostatic matrix elements      443—454 457—465
emission      see Absorption and emission
Equivalent electrons      see Multiplet
Euler angles      54
Evolution operator, equation of motion      223
Evolution operator, infinite limits      227—232
Evolution operator, integral form      223—225
Evolution operator, interaction representation      222—232
Evolution operator, Schr $\ddot{o}$ dinger representation      216—218
Exchange integral      see Coulomb interaction
Extended H $\ddot{u}$ ckel method (EHM)      see Molecular orbitals
Fermi      see also Fermion; Hartree — Fock formulation
Fermi, correlation      288

Fermi, golden rule      299—301
Fermi, statistics      629—631
Fermion      214—215
Fermion operators      257—258
Field operator      265—267
Fine structure      see Hydrogen atom;
Fock space      255
Fractional parentage      see Multiplet wave functions
Franck — Condon principle      621—622
Gaunt formula      11—12 (see also Spherical harmonics)
Gaussian line shape      520 (see also Line broadening)
Group representations      see also Groups
Group representations, basis functions      75—78
Group representations, character      68
Group representations, classification      123—124
Group representations, coupling coefficients      132—142
Group representations, equivalent      67
Group representations, irreducible      70—74
Group representations, product      83 88 126
Group representations, reducible      68—74 127
Group representations, regular      74—75
Group representations, symmetric and antisymmetric      85—87
Group representations, unit      66
groups      60—90 (see also Group representation; Permutation groups; Point groups; Rotation groups)
Groups, Abelian      65
Groups, class      65
Groups, conjugate elements      65
Groups, double (extended)      121—127 140
Groups, finite      111—150
Groups, matrix element theorem      88—90 103—104
Groups, projection operators      78—83
Groups, relation to quantum mechanics      203—207
Groups, rotation      91—93
Groups, selection rules      89—90 103—104
Groups, SU(2)      95—100
Groups, subgroups      65
gyromagnetic ratio      see Magnetic moment
harmonic oscillator      233—239
Harmonic oscillator, creation and annihilation operators      234—238
Harmonic oscillator, Heisenberg representation      239
Harmonic oscillator, matrix formulation      234—238
Harmonic oscillator, Schr $\ddot{o}$ dinger formulation      233—234
Hartree — Fock formulation, Brillouin theorem      403—404
Hartree — Fock formulation, closed shell      404—407
Hartree — Fock formulation, computational methods      407—410 561—565
Hartree — Fock formulation, density matrix formulation      398—399 400
Hartree — Fock formulation, equations      394—401
Hartree — Fock formulation, exchange hole      400
Hartree — Fock formulation, exchange probability density      400
Hartree — Fock formulation, Fermi hole      400
Hartree — Fock formulation, Fock operator      398
Hartree — Fock formulation, Koopmans’ theorem      402—403
Hartree — Fock formulation, nonlocal potential      400
Hartree — Fock formulation, open shell      408—409
Hartree — Fock formulation, orthogonality of the orbitals      401—402
Hartree — Fock formulation, restricted and unrestricted      409
Hartree — Fock formulation, Roothaan method      409—410 556—560
Hartree — Fock formulation, Slater approximation      410
Hartree — Fock formulation, solutions      401—407
Heisenberg equation      221
Heisenberg representation      220—221
Hellmann — Feynman theorem      554—555 570
Hermite polynomials      693
Hilbert transforms      309
Hund’s rules      426 586
Hvickel method      see Molecular orbitals
Hybrid orbitals      591—596
Hydrogen atom      322—345
Hydrogen atom, Darwin term      343—344
Hydrogen atom, electric field      356—357
Hydrogen atom, energy levels      331 345
Hydrogen atom, Lamb shift      344
Hydrogen atom, magnetic field      350—354
Hydrogen atom, magnetic hyperfine interaction      368—373
Hydrogen atom, quantum numbers      327
Hydrogen atom, radial charge density      331—332
Hydrogen atom, radial expectation values      333
Hydrogen atom, radial wave function      323—327 330
Hydrogen atom, relativistic mass correction      341—343
Hydrogen atom, Schr $\ddot{o}$ dinger equation      322—334
Hydrogen atom, spectra      525—528
Hydrogen atom, spin-orbit coupling      339—341
Hydrogen atom, Stark effect      356—357
Hydrogen atom, wave functions      327—329
Hydrogen molecule ion ( $H_{2}^{+}$ )      566—573 579—580
Hydrogen molecule ion ( $H_{2}^{+}$ ), correlation diagram      580
Hydrogen molecule ion ( $H_{2}^{+}$ ), electronic charge distribution      569
Hydrogen molecule ion ( $H_{2}^{+}$ ), energy levels      568
Hydrogen molecule ion ( $H_{2}^{+}$ ), molecular orbitals      567—569
Hydrogen molecule ion ( $H_{2}^{+}$ ), overlap population      570
Hydrogen molecule ion ( $H_{2}^{+}$ ), scaling      572—573
Hydrogen molecule ion ( $H_{2}^{+}$ ), symmetry properties      573—579
Hydrogen molecule ion ( $H_{2}^{+}$ ), united atom treatment      579—580
Hydrogen molecule ion ( $H_{2}^{+}$ ), virial theorem      571—572
Hydrogen molecule, electronic states      579—584
Hydrogen molecule, energies      583
Hydrogen molecule, Hamiltonian      579
Hydrogen molecule, molecular orbitals      580—584
Hydrogen molecule, para and ortho modifications      631
Hydrogen molecule, valence bond method      583
Hydrogen molecule, wave functions      581—584
Hyperfine interactions      see Electric quadrupole interaction; Magnetic hyperfine interaction
Indistinguishability of particles      213—215
Interaction representation      221—227
Internal conversion      648
Intersystem crossing      648
Irreducible tensor operators      151—175 (see also Tensors)
Irreducible tensor operators, definition      151—152
Irreducible tensor operators, direct product      166—167
Irreducible tensor operators, matrix elements      166
Irreducible tensor operators, unit tensor operator      456
Irreducible tensor operators, Wigner — Eckhart theorem      159—167
Jahn — Teller theorem      676
Koopmans’ theorem      403
Kramers — Heisenberg formula      536—542
Kramers — Kronig relations      307—309
Kramers’ operator      207
Kramers’ theorem      210—212
L $\ddot{o}$ wdin orbitals      564—565 (see also Molecular orbitals)
Laguerre polynomials      692
Lamb shift      344
Land $\acute{e}$ factor      349 (see also Magnetic field interaction)
Land $\acute{e}$ interval rule      467 472
Lande formula      348 364—367 379
LCAO (linear combination of atomic orbitals)      see Molecular orbitals
Ligand field      650—680
Ligand field, value      673—674
Ligand field, Hamiltonian      650
Ligand field, Kramers’ theorem      671—672
Ligand field, magnetic field      672—677
Ligand field, molecular orbitals      677—680
Ligand field, multielectron configurations      666—672
Ligand field, potentials      651—655
Ligand field, quenching of orbital angular momentum      664
Ligand field, spin Hamiltonian      675 677
Ligand field, spin-orbit coupling      651 657—666
Ligand field, splitting in $d^_{2}$ configuration      666—667
Ligand field, splitting of d orbital      655—656
Ligand field, terms      668—671
Ligand field, wave functions in $d^{2}$ configuration      667
Line broadening      517—520
Lippmann — Schwinger equation      230
Lorentzian line shape      518 (see also Line broadening
LS (Russell — Saunders) coupling      388 (see also Multielectron atom)
Magnetic field interaction      346—355 478—479
Magnetic field interaction, diamagnetism      354—355
Magnetic field interaction, Hamiltonian      346
Magnetic field interaction, Land $\acute{e}$ factor      349
Magnetic field interaction, paramagnetism      355
Magnetic field interaction, Paschen — Back region      352—353

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