Physics 115A Problem Set 2 Due Tuesday October 6 5pm in the...

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Physics 115A, Problem Set 2 Due Tuesday, October 6 @ 5pm in the box outside Broida 1019 (PSR) Suggested reading: Griffiths 1.5-1.6, 2.1 1 Macroscopic Wavelengths The idea that matter has a wave-like nature pertains not just to particles, but to macro- scopic objects as well. It’s just typically the case that the relevant wavelength is far too small to detect; it’s only when the wavelength is on the same order as the size of an ob- ject that quantum effects are apparent. To get a feel for this, calculate the de Broglie wavelength for the following (nonrelativistic) objects: 1. A proton with 100 MeV of kinetic energy. 2. An 8g bullet traveling at 500 m/s. 3. A 6kg bicycle traveling at 40 km/hr. 2 Velocity, phase velocity, group velocity In lecture, we saw how the phase velocity differed from the classical velocity of a particle in a potential. However, I was deliberately vague as to the relation between the classical velocity v , group velocity v g , and phase velocity v p , as well as what happens when the particle feels no potential. Now we can clarify the point.
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