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Weissbluth M. Ч Atoms and Molecules
Weissbluth M. Ч Atoms and Molecules

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Ќазвание: Atoms and Molecules

јвтор: Weissbluth M.

язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 1st edition

√од издани€: 1978

 оличество страниц: 713

ƒобавлена в каталог: 09.08.2009

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$jj$ coupling      441Ч442 (see also Multielectron atom)
Absorption and emmission      see also Atomic spectra; Molecular spectra; Radiation and atoms
Absorption and emmission, absorption cross sections      520Ч521
Absorption and emmission, degenerate states      508
Absorption and emmission, Einstein coefficients      510
Absorption and emmission, hydrogen      515Ч517
Absorption and emmission, induced emission      508
Absorption and emmission, line broadening      517Ч520
Absorption and emmission, line shape      518 520
Absorption and emmission, line strength      509
Absorption and emmission, numerical computation      515Ч517
Absorption and emmission, oscillator strengths      512Ч515
Absorption and emmission, PlanckТs law      511Ч512
Absorption and emmission, selection rules      509
Absorption and emmission, spontaneous emission      508
Absorption and emmission, spontaneous lifetime      510
Absorption and emmission, sum rules      513Ч515
Absorption and emmission, transition probabilities      505Ч509
Addition theorem      9
Angular distribution, radiation fields      192Ч193 503Ч504
Angular momentum, and rotations      51Ч53
Angular momentum, Clebsch Ч Gordan coefficients      25 27Ч31
Angular momentum, commutators      44Ч45
Angular momentum, coupling of three angular momenta      36Ч38 47
Angular momentum, coupling of two angular momenta      22Ч27 46Ч47
Angular momentum, definition      13 42
Angular momentum, eigenfunctions and eigenvalues      14Ч17 45 107Ч109
Angular momentum, matrix elements      18 45Ч46
Angular momentum, six $j$ (6$j$ symbols)      38Ч44
Angular momentum, spherical components      44
Angular momentum, three $j$ (3$j$ symbols)      12 31Ч35
Angular momentum, undertime reversal      208
Annihilation operators      see Creation and annihilation operators
Anticommutators      256
Antisymmetric wave functions      214Ч215 283 254Ч256 386-387
Atomic spectra      525Ч535 (see also Absorption and emission; Radiation and atoms; X-rays)
Atomic spectra, helium      527Ч529
Atomic spectra, hydrogen      525Ч528
Atomic spectra, Paschen Ч Back      534Ч535
Atomic spectra, Stark      535
Atomic spectra, Zeeman      533Ч534
Atomic units      325
Auger effect      532Ч533 (see also X-rays
Bessel functions      689Ч691
Bohr magneton      347
Bom Ч Oppenheimer approximation      551Ч555 (see also Molecules)
Bose statistics      see also Bosons
Bose statistics, diatomic molecules      629Ч631
Bosons      214
Brillouin Ч Wigner expansion      296 (see also Perturbations)
Build-up principle      392
Cartesian tensors      see also Tensors
Cartesian tensors, and permutation groups      175Ч178
Cartesian tensors, decomposition      171Ч175 178Ч181
Cartesian tensors, dipole coupling      168Ч170
Cartesian tensors, transformation law      168
Central field approximation      389Ч394
Clebsch Ч Gordan coefficients      25 27Ч31
Clebsch Ч Gordan coefficients, numerical tables      28Ч30
Closed shell      see Coulomb interaction; Slater determinant; Hartree Ч Fock formulation
Closure      685 696
Configuration, average energy      464Ч465
Configuration, conjugate      476Ч478
Configuration, interaction      411Ч412
Continuous groups      177Ч181 (see also Rotation groups)
Correlation error      410Ч411
Correlation function      304
Correlation time      304
Coulomb hole      410
Coulomb interaction      see also Electrostatic matrix elements
Coulomb interaction, closed shell      251Ч253
Coulomb interaction, direct (Coulomb) integral      247
Coulomb interaction, exchange integral      248
Coulomb interaction, matrix elements      244Ч253
Coulomb interaction, operators      249Ч250
Coulomb interaction, Racah paramaters      249
Coulomb interaction, Slater Ч Condon parameters      247Ч249
Coupled and uncoupled representation      22Ч26 336
Coupling coefficients      see Clebsch-Gordan coefficients; Three $j$ (3$j$) symbols
Creation and annihilation operators      254Ч259 (see also Harmonic oscillator)
Crystal field      see Ligand field
Darwin term      see Hydrogen atom
Density matrices      268Ч289
Density matrices, equation of motion      278Ч280
Density matrices, Fock Ч Dirac      283Ч285
Density matrices, interaction representation      280
Density matrices, mixed states      260Ч270
Density matrices, molecular orbitals      558
Density matrices, multielectron system      280Ч283
Density matrices, one-particle      282
Density matrices, pair function      288
Density matrices, pure states      269Ч270
Density matrices, random perturbation      301Ч305
Density matrices, reduced      273Ч276
Density matrices, spin      271Ч273 287
Density matrices, spinless      285Ч289
Density matrices, thermal equilibrium      276Ч277
Density matrices, two-particle      282
Diagrams      see Electromagnetic interactions; Perturbations
Diamagnetism      354Ч355 (see also Magnetic field interaction)
Diatomic molecules, electronic states      584Ч589
Diatomic molecules, Franck Ч Condon principle      621 622
Diatomic molecules, heteronuclear      587Ч589 623Ч624
Diatomic molecules, homonuclear      579Ч587 624Ч631
Diatomic molecules, HundТs cases      614Ч615
Diatomic molecules, Morse potential      608Ч609
Diatomic molecules, nuclear spin effect      629Ч631
Diatomic molecules, ortho and para modifications      631
Diatomic molecules, rotational properties      609Ч619
Diatomic molecules, selection rules      627Ч631
Diatomic molecules, symmetry properties      622Ч631
Diatomic molecules, terms      585Ч587
Diatomic molecules, transitions      615Ч631
Diatomic molecules, vibrations      606Ч609 611 617
Dipole-dipole interaction      168Ч170
Dirac delta ($\delta$) function      694Ч696
Dirac equation      313 3 21
Dirac notation      681
Dispersion relations      see Kramers Ч Kronig relations
Doppler broadening      see Line broadening
Dyson chronological operator      224Ч225
Eigenvalues and eigenfunctions      684Ч685
Einstein coefficients      510
Electric field interaction      see also Stark effect
Electric field interaction, hydrogen atom      356Ч357
Electric quadrupole interaction      374Ч384
Electromagnetic field, Helmholtz equations      196Ч198
Electromagnetic field, Maxwell equations      19 6
Electromagnetic field, multipole expansion      196Ч202
Electromagnetic field, parity      199Ч200
Electromagnetic interactions      see also Absorption and emission; Radiation and atoms; Scattering
Electromagnetic interactions, diagrams      544Ч547
Electromagnetic interactions, higher order      536Ч550
Electromagnetic interactions, nonlinear effects      547Ч550
Electromagnetic interactions, optical susceptibility      547Ч550
Electromagnetic interactions, two-photon processes      545Ч547
Electronic repulsion energy      see Electrostatic matrix elements
Electrostatic matrix elements      443Ч454 457Ч465
emission      see Absorption and emission
Equivalent electrons      see Multiplet
Euler angles      54
Evolution operator, equation of motion      223
Evolution operator, infinite limits      227Ч232
Evolution operator, integral form      223Ч225
Evolution operator, interaction representation      222Ч232
Evolution operator, Schr$\ddot{o}$dinger representation      216Ч218
Exchange integral      see Coulomb interaction
Extended H$\ddot{u}$ckel method (EHM)      see Molecular orbitals
Fermi      see also Fermion; Hartree Ч Fock formulation
Fermi, correlation      288
Fermi, golden rule      299Ч301
Fermi, statistics      629Ч631
Fermion      214Ч215
Fermion operators      257Ч258
Field operator      265Ч267
Fine structure      see Hydrogen atom;
Fock space      255
Fractional parentage      see Multiplet wave functions
Franck Ч Condon principle      621Ч622
Gaunt formula      11Ч12 (see also Spherical harmonics)
Gaussian line shape      520 (see also Line broadening)
Group representations      see also Groups
Group representations, basis functions      75Ч78
Group representations, character      68
Group representations, classification      123Ч124
Group representations, coupling coefficients      132Ч142
Group representations, equivalent      67
Group representations, irreducible      70Ч74
Group representations, product      83 88 126
Group representations, reducible      68Ч74 127
Group representations, regular      74Ч75
Group representations, symmetric and antisymmetric      85Ч87
Group representations, unit      66
groups      60Ч90 (see also Group representation; Permutation groups; Point groups; Rotation groups)
Groups, Abelian      65
Groups, class      65
Groups, conjugate elements      65
Groups, double (extended)      121Ч127 140
Groups, finite      111Ч150
Groups, matrix element theorem      88Ч90 103Ч104
Groups, projection operators      78Ч83
Groups, relation to quantum mechanics      203Ч207
Groups, rotation      91Ч93
Groups, selection rules      89Ч90 103Ч104
Groups, SU(2)      95Ч100
Groups, subgroups      65
gyromagnetic ratio      see Magnetic moment
harmonic oscillator      233Ч239
Harmonic oscillator, creation and annihilation operators      234Ч238
Harmonic oscillator, Heisenberg representation      239
Harmonic oscillator, matrix formulation      234Ч238
Harmonic oscillator, Schr$\ddot{o}$dinger formulation      233Ч234
Hartree Ч Fock formulation, Brillouin theorem      403Ч404
Hartree Ч Fock formulation, closed shell      404Ч407
Hartree Ч Fock formulation, computational methods      407Ч410 561Ч565
Hartree Ч Fock formulation, density matrix formulation      398Ч399 400
Hartree Ч Fock formulation, equations      394Ч401
Hartree Ч Fock formulation, exchange hole      400
Hartree Ч Fock formulation, exchange probability density      400
Hartree Ч Fock formulation, Fermi hole      400
Hartree Ч Fock formulation, Fock operator      398
Hartree Ч Fock formulation, KoopmansТ theorem      402Ч403
Hartree Ч Fock formulation, nonlocal potential      400
Hartree Ч Fock formulation, open shell      408Ч409
Hartree Ч Fock formulation, orthogonality of the orbitals      401Ч402
Hartree Ч Fock formulation, restricted and unrestricted      409
Hartree Ч Fock formulation, Roothaan method      409Ч410 556Ч560
Hartree Ч Fock formulation, Slater approximation      410
Hartree Ч Fock formulation, solutions      401Ч407
Heisenberg equation      221
Heisenberg representation      220Ч221
Hellmann Ч Feynman theorem      554Ч555 570
Hermite polynomials      693
Hilbert transforms      309
HundТs rules      426 586
Hvickel method      see Molecular orbitals
Hybrid orbitals      591Ч596
Hydrogen atom      322Ч345
Hydrogen atom, Darwin term      343Ч344
Hydrogen atom, electric field      356Ч357
Hydrogen atom, energy levels      331 345
Hydrogen atom, Lamb shift      344
Hydrogen atom, magnetic field      350Ч354
Hydrogen atom, magnetic hyperfine interaction      368Ч373
Hydrogen atom, quantum numbers      327
Hydrogen atom, radial charge density      331Ч332
Hydrogen atom, radial expectation values      333
Hydrogen atom, radial wave function      323Ч327 330
Hydrogen atom, relativistic mass correction      341Ч343
Hydrogen atom, Schr$\ddot{o}$dinger equation      322Ч334
Hydrogen atom, spectra      525Ч528
Hydrogen atom, spin-orbit coupling      339Ч341
Hydrogen atom, Stark effect      356Ч357
Hydrogen atom, wave functions      327Ч329
Hydrogen molecule ion ($H_{2}^{+}$)      566Ч573 579Ч580
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      567Ч569
Hydrogen molecule ion ($H_{2}^{+}$), overlap population      570
Hydrogen molecule ion ($H_{2}^{+}$), scaling      572Ч573
Hydrogen molecule ion ($H_{2}^{+}$), symmetry properties      573Ч579
Hydrogen molecule ion ($H_{2}^{+}$), united atom treatment      579Ч580
Hydrogen molecule ion ($H_{2}^{+}$), virial theorem      571Ч572
Hydrogen molecule, electronic states      579Ч584
Hydrogen molecule, energies      583
Hydrogen molecule, Hamiltonian      579
Hydrogen molecule, molecular orbitals      580Ч584
Hydrogen molecule, para and ortho modifications      631
Hydrogen molecule, valence bond method      583
Hydrogen molecule, wave functions      581Ч584
Hyperfine interactions      see Electric quadrupole interaction; Magnetic hyperfine interaction
Indistinguishability of particles      213Ч215
Interaction representation      221Ч227
Internal conversion      648
Intersystem crossing      648
Irreducible tensor operators      151Ч175 (see also Tensors)
Irreducible tensor operators, definition      151Ч152
Irreducible tensor operators, direct product      166Ч167
Irreducible tensor operators, matrix elements      166
Irreducible tensor operators, unit tensor operator      456
Irreducible tensor operators, Wigner Ч Eckhart theorem      159Ч167
Jahn Ч Teller theorem      676
KoopmansТ theorem      403
Kramers Ч Heisenberg formula      536Ч542
Kramers Ч Kronig relations      307Ч309
KramersТ operator      207
KramersТ theorem      210Ч212
L$\ddot{o}$wdin orbitals      564Ч565 (see also Molecular orbitals)
Laguerre polynomials      692
Lamb shift      344
Land$\acute{e}$ $g$ factor      349 (see also Magnetic field interaction)
Land$\acute{e}$ interval rule      467 472
Lande formula      348 364Ч367 379
LCAO (linear combination of atomic orbitals)      see Molecular orbitals
Ligand field      650Ч680
Ligand field, $g$ value      673Ч674
Ligand field, Hamiltonian      650
Ligand field, KramersТ theorem      671Ч672
Ligand field, magnetic field      672Ч677
Ligand field, molecular orbitals      677Ч680
Ligand field, multielectron configurations      666Ч672
Ligand field, potentials      651Ч655
Ligand field, quenching of orbital angular momentum      664
Ligand field, spin Hamiltonian      675 677
Ligand field, spin-orbit coupling      651 657Ч666
Ligand field, splitting in $d^_{2}$ configuration      666Ч667
Ligand field, splitting of d orbital      655Ч656
Ligand field, terms      668Ч671
Ligand field, wave functions in $d^{2}$ configuration      667
Line broadening      517Ч520
Lippmann Ч Schwinger equation      230
Lorentzian line shape      518 (see also Line broadening
LS (Russell Ч Saunders) coupling      388 (see also Multielectron atom)
Magnetic field interaction      346Ч355 478Ч479
Magnetic field interaction, diamagnetism      354Ч355
Magnetic field interaction, Hamiltonian      346
Magnetic field interaction, Land$\acute{e}$ $g$ factor      349
Magnetic field interaction, paramagnetism      355
Magnetic field interaction, Paschen Ч Back region      352Ч353
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