Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 9.3, Problem 9.10P
To determine

Show that the downward-sloping turning point as ψ(x)={Dp(x)exp[1xx1|p(x)|dx], x<x12Dp(x)sin[1x1x|p(x)|dx+π4], x>x1}.

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c) Corsider the orthonormol basıs {117, 1273, the stote 1 Y>= 174 e*® 12> and the operators and ansuer the follo wing questions : B = 11>2). I. Cololote I. Get the eigen vo lues and cigenvectors of C and B and use this to thot for argue depends on e while does not.
11.1.3 Show that the electrostatic potential produced by a charge q at z = a for r < a is y(r) = 9 Απέρα n=0 (7) Pn(cos 0).
II. PROBLEM 2. LIÉNARD-WIECHERT POTENTIALS. Problem 10.15A particle of charge q moves in a circle of radius a at constant angular velocity w. (Assume that the circle lies in the xy plane, centered at the origin, and at time t = 0 the charge is at (a, 0), on the positive x axis.) Find the Liénard-Wiechert potentials for points on the z axis. It would be useful to parameterize the circle as r(t) = a (cos (wt) + sin (wt)ÿ), (1) 2 and then directly substitute the values into the Eqs. (10.46) and (10.47), i. e. V (r, t) = A(r,t) =V(r,t), (2) 4TE0 2c - 4 v where |r – w (t,)| 2 =r - w (t,), t, =t - =t - (3) and the velocity of the particle is also taken at the retarded time.
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