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Unformatted text preview: t and ∆ k represents an uncertainty in the electrons precise wave number. Due to the nature of wave superposition asking for a small uncertainty in the position ∆ x of the electron requires a larger ∆ k and hence a bigger uncertainty in the electrons wave number. Similarly at fixed position x , 2 ≈ ∆ ∆ t . Here ∆ t represents an uncertainty in the time and ∆ω represents an uncertainty in the electrons angular frequency. Again due to the nature of wave superposition asking for a small uncertainty in the time ∆ t requires a larger ∆ω and hence a bigger uncertainty in the electrons angular frequency. Wave Packet-3-2-1 1 2 3 x v group electron v group ∆ x Wave Packet-3-2-1 1 2 3 t electron ∆ t At fixed time t At fixed x Wave of what?...
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This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.
- Spring '07