4485698
Flashcards by megangoodland, updated more than 1 year ago
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Created by megangoodland
about 5 years ago
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Description
| Question | Answer |
| Energy-time version of the uncertainty principle for gaussian wave packets. | |
| This is the equation for a gaussian wave packet when time=0. The exponential part is the envelope, and the cosine part is the wave oscillating inside the envelope. | |
| This is the equation for the group velocity (it's like the velocity of a wave packet). Ugr is also equal to dw/dk | |
| Uncertainty principle for a gaussian wave packet in terms of momentum and position. | |
| Minimum kinetic energy of a particle in a one dimensional box of length l. This comes with the assumption that the minimum value for the momentum is at least as large as its uncertainty. | |
| This is probability density. It represents the probability of finding a particle in a given volume at a given instant of time. | |
| Using Einstein's postulates, a transformation can be found between K and K' (which is travelling along x and x'). Gamma is the relativistic factor (=1 when v=0), which we worry about when it gets around 1.005. | |
| Time dilation! Moving clocks run slower. Here's length contraction as well. Moving lengths contract. | |
| Doppler Effect for light. Beta = v/c still, and it's positive when the source and receiver are getting closer, negative when they're moving farther apart. | |
| We can preserve conservation of linear momentum through a modification of the definition of linear momentum. u is the velocity. | |
| Relativistic Kinetic Energy! It converges to 1/2mv^2 at low energies. | |
| This is the total energy of a particle. E(0) is the rest energy, K is kinetic. | |
| This is conservation of mass-energy. It shows that energy of a photon = pc. |
