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WavePackets

# WavePackets - WAVE PACKETS I Localized wave functions A At...

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WAVE PACKETS 1 I: Localized wave functions A. At time, t = 0, a free particle in one dimension has the wave function shown at right: 1. How do the probabilities of ﬁnding the particle very close (within a very small distance dx ) to x = A, B, C, and D compare? - 5 5 10 x - 0.4 - 0.2 0.2 Y H x,t = 0 L A B C D 2. What can you say about the integral of this function from -∞ to ? 3. What can you say about the integral of | Ψ( x,t ) | 2 from -∞ to ? 4. The wave function shown above is entirely real. Is this a possible wave function for a real, physical particle? Why or why not? 5. Does this wave function represent a localized particle? Describe how you know. X Check your results with a tutorial instructor. PHYS 3220 Tutorials Adapted from Mod. Phys. HW by Perkins, McKagan, Wieman, 2006 c ± 2009 S. Goldhaber and the Physics Education Group University of Colorado, Boulder

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WAVE PACKETS 2 B. Superposition: Open the ‘Fourier: Making Waves’ PhET simulation (http://www.colorado.edu/physics/phet/simulations/fourier/fourier.jnlp). You will be work- ing with this simulation to explore how sine and cosine waves add up to make wave packets
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• Fall '08
• STEVEPOLLOCK
• wave packet, wave function, Physics Education Group, Physics Education Group PHYS, Education Group PHYS

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WavePackets - WAVE PACKETS I Localized wave functions A At...

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