Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 6, Problem 44E
To determine

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Phase velocity of the particle is obtained as νphase=c2μparticle

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Q 2: A particle moves inside a one-dimensional box of length L in the direction of sahur X its wave function . Y(x)~exp(—px) Find the calibration constant in terms of the dimension of the box first and then find the calibration constant when L — oo
Consider a potential barrier represented as follows:  U(x) = 0 if x < 0; εx if 0 < x < a; 0 if x > a  Determine the transmission coefficient as a function of particle energy.
At time T energy measurement is carried out on One Hundred identical harmonic ocillator systems with angular frequency w. It is found that measurements on 36 systems give energy 0.5ho, measurements on 49 systems give energy 1.5ho and measurements on 15 systems give energy 2.5ho The wavefunction of any of these systems at time time t < T (before measurement) is given by Select one: O a. y(x,t) = e-0.501 (0.60o – 0.7ie-io1 þ1 + 0.0.39ie-2iot p2) ,-iot O b. y(x,t) = 0.6o – 0.7ie¬io! 41 + 0.39ie-2iot b. О с. у(х, t) %3D 0.36фо + 0.49е-ion ф + 0.15е-2io1 ф, "(0.360o + 0.49e d1 + 0.15e-2iot p2) ,-iot O d. y(x, t) = e-0.5@t O e. y(x,t) = e0.S@t (0.6P0 – 0.7ieio þ1 + 0.39ie2iot p2) The expectation value of a system at time t is given by Select one: a. 0.86ho O b. 3.11hw О с. 0.48ho O d. 2.33ħo е. 1.29ha
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