Modern Physics, 3rd Edition
Modern Physics, 3rd Edition
3rd Edition
ISBN: 9780534493394
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 7, Problem 15P
To determine

The transmission coefficient for each of the individual barrier also prove that the form of Equation 7.10 is recovered in the case where E<U and αL>>1 .

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Recall the signal-plus-noise model X; = St + v1, where s; is the nonrandom siginal series and v; iz the zero-mean noise time series (NOT necessarily white noise). Suppose the autocorrelation function (ACF) of {v;} is given by p,(s, t). What is the ACF px(s, t) for {x; }? Confirm your answer.
Q1: A one dimensional potential barrier is shown in the figure below. Calculate the transmission coefficient. E E >V1 > V2 V1 V2 x=0 x= a With wavefuction in each region as follow: 41(x) = eikix + Be¬ik1x, %3D 42(x) = Cek2* + De-ik2*, And 3(x) = Eeik3x %3D Then use: h = 6.625 10-34Js, m = 9.109 10-31Kg, e = 1.602 10-19, E = 5 e, V1 = 0.6 E, V2 = %3D 2mE E, k2 = 2m(E-V1) ,k3 2m(E-V2) 0.4 E, k, : to find the value transmission coefficient.
Q.18. Verify the statement in the text that, if the phase velocity is the same for all wavelengths of a certain wave phenomenon (that is, there is no dispersion), the group and phase velocities are the same?
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