Page 356 - PRINCIPLES OF QUANTUM MECHANICS as Applied to Chemistry and Chemical Physics

Index

absorption of radiation 187 of magnetic moment 151±4
adiabatic approximation 268±9, 272±3 of orbital motion 130±1
allowed transitions 192 of rigid rotor 148±9
amplitude closure property, see completeness relation
of vibration, de®ned 107 commutators
of a wave, de®ned 2 de®ned 66
see also harmonic oscillator, wave motion for generalized angular momentum 133, 155
angular frequency for orbital angular momentum 132, 155, 161,
of vibration, de®ned 107 203±4
of a wave, de®ned 3 for position and momentum 104
see also harmonic oscillator, wave motion properties 66, 70, 77, 100±1, 104±5
angular momentum for spin angular momentum 197, 199, 203±4
addition of 204±6 complete set of functions, de®ned 75±7
conservation of 131, 192, 204±5 completeness relation 76±7, 84, 118, 218±20, 300,
general theory of 132±7, 155 309, 317
see also orbital angular momentum, spin angular Compton, A. 19
momentum Copenhagen interpretation 34
anharmonic oscillator 246±8, 278±80 correspondence principle, see Bohr correspondence
antisymmetric wave function, see wave function principle
atomic orbitals 175±82, 254±6 Coulomb's law 151, 160, 226
average values, see expectation values creation operator, see ladder operators
azimuthal quantum number, de®ned 175
Davison±Germer experiment 19
Balmer series 156, 188±9, 193 de Broglie, L. 19
Biot and Savart law 202 de Broglie wavelength 19, 49±50, 58
Bohr, N. 43, 151, 156±7 degeneracy 72±4, 78±9, 85, 92, 96
Bohr correspondence principle 43±5, 120 de®ned 62±3, 67
Bohr magneton, de®ned 152 for harmonic oscillator 113±14, 129
Bohr radius 175, 184 for hydrogen-like atom 176, 191±2
Boltzmann constant 228±9 for particle in a box 63
Born, M. 34, 38, 41, 265 and perturbation theory 248±56
Born±Huang treatment 266±9 for rigid rotor 151
Born±Oppenheimer approximation 264±6, 268±9, delta function, see Dirac delta function
273 destruction operator, see ladder operators
Bose±Einstein condensation 229±30 determinants, properties of 334±5
boson 197±8, 217±18, 221±3, 229±30 deuterium 190, 193
bra vector, de®ned 81 diatomic molecule 269±80
see also eigenfunctions Dirac, P. A. M. 195
Brackett series 188±9 Dirac delta function 15±16, 22, 76±7, 291±5
Dirac equation and electron spin 195±6
center-of-mass coordinates 149, 157±8, 269±71 Dirac notation 69, 71, 80±3, 86
classical mechanics dispersion law, de®ned 4
of harmonic oscillator 106±9, 128 see also wave motion

347