Page 360 - PRINCIPLES OF QUANTUM MECHANICS as Applied to Chemistry and Chemical Physics

Index 351

wave wave motion 2±18
frequency of, de®ned 2±3 composite wave 4±9
nodes of 2 standing wave 7
see also plane wave, wave motion, wave packet see also plane wave, wave packet
È
wave equation, see Schrodinger equation wave number
wave function of plane wave, de®ned 3
collapse of 30±4, 85, 92 of spectral line 187±8, 190
for free particle 20±3, 29±34 wave packet 8±18, 20±2, 29, 34, 36±7, 85
for harmonic oscillator 114±21, 127, 320±3 dispersion of 4±5, 15±18, 20±1, 29, 34
for hydrogen-like atoms 161, 175 group velocity of 7, 20±1, 23, 34
interpretation of 29±34, 86 of minimum uncertainty 102±3
many-particle 60±1, 209±25 phase velocity of 4±5, 20±1, 34
in momentum space 40±1, 58, 128±9 uncertainty relation 12, 14±15, 18
normalization 38±41, 47, 51, 58, 69, 86, 98 see also gaussian distribution, square pulse
nuclear 265±8, 273±4, 276 distribution
for orbital angular momentum 138±47, 323±6 wavelength
for particle in a box 50±2, 62 de Broglie 19, 49±50, 58
and probabilities 30, 38±41, 47, 58, 60, 86, 91± of a wave, de®ned 2
2, 118±21, 198, 209, 222±3 see also wave motion
properties of 29±34, 48±9 weighting function 69, 72, 74, 77, 162, 164±5
for rigid rotor 150
symmetry of 209±11, 214±21, 223±4, 230 Young, T. 24
time-dependent 37 Young's double-slit experiment 23±6, 29±32
time-independent 47
well-behaved, de®ned 68, 162
see also eigenfunctions, state function, stationary Zeeman effect 190±2
state Zinn, W. H. 19