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 2, Problem 2.53P

(a)

To determine

The S-matrix.

(b)

To determine

The S-matrix for finite square well.

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Problem 3. A pendulum is formed by suspending a mass m from the ceiling, using a spring of unstretched length lo and spring constant k. 3.1. Using r and 0 as generalized coordinates, show that 1 L = = 5m (i² + r²0?) + mgr cos 0 – z* (r – lo)² 3.2. Write down the explicit equations of motion for your generalized coordinates.
1 W:0E *Problem 1.3 Consider the gaussian distribution p(x) = Ae¬^(x-a)² %3D where A, a, and A are positive real constants. (Look up any integrals you need.) (a) Use Equation 1.16 to determine A. (b) Find (x), (x²), and ơ. (c) Sketch the graph of p(x).
Problem 4.25 If electron, radius [4.138] 4πεmc2 What would be the velocity of a point on the "equator" in m /s if it were a classical solid sphere with a given angular momentum of (1/2) h? (The classical electron radius, re, is obtained by assuming that the mass of the electron can be attributed to the energy stored in its electric field with the help of Einstein's formula E = mc2). Does this model make sense? (In fact, the experimentally determined radius of the electron is much smaller than re, making this problem worse).
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