Unformatted text preview: ( + = ∆ − ∆ n t kx n and the speed of the wave-packet along the x-axis is dk d k dt dx v n group → ∆ ∆ = = Group Velocity of a Pilot Wave-Packet: For a De Broglie pilot wave-packet we get c E cp dp dE dk d v group = = = , where I used h / E = , h / p k = , and ( ) E p c c m cp dp d 2 2 2 2 ) ( ) ( = + . Note that for pilot waves v phase · v group = c 2 . The pilot wave-packet travels at the speed of the particle! Wave Packet-3-2-1 1 2 3 x v group Wave Packet! Wave Superposition-2-1 1 2 x...
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- Spring '07
- mechanics, Sin, wave packet, R. D. Field, Wave Superposition