Schr odinger Equation h 2 2 m d 2 \u03c8 dx 2 U x \u03c8 E\u03c8 1 Dimensional Normalization

Schr odinger equation h 2 2 m d 2 ψ dx 2 u x ψ eψ

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1. Two space stations A and B are at rest relative to one another. A rocketship is sent from A towards B at at speed of 0.6c. The captain of the rocketship measures the time of flight from A to B as 200 seconds and sends a radiosignal immediatelyupon passing B.(a) What is the distance between A and B as in the space stations’ frameof reference and how much time (by the space stations’ clocks) elapsedbetween the departure of the rocket from A and the arrival of the radiosignal at A?(b) Immediatelyupon receiving the signal, station A sends out a secondrocket, at a speed of 0.8c, to chase and finally overtake the first rocket(which is still maintaining its original speed of 0.6c relative to the spacestation). What is the speed of the second rocket relative to the first?(c) How much time (according to the captain of the first rocket) elapsed be-tween his own departure from A and the meeting up of the two rockets?2. (a) A rocket ship leaves Earth at a speed of 0.28c. It reports back to Earth byradio every houraccording toitsclocks. What will be the time intervalbetween successive reports received back on Earth?

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• Fall '08
• Hirsch
• Physics, Electron, Compton scattering, Compton, rocket ship, C Electron Mass