Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 3, Problem 3.37P
To determine
The proof for virial theorem.
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Consider a car moving at highway speed u. Is its actual kinetic energy larger or smaller than 1/2 mu2? Make an order-of-magnitude estimate of the amount by which its actual kinetic energy differs from 1/2 mu2. In your solution, state the quantities you take as data and the values you measure or estimate for them. You may find Appendix B.5 useful.
(a) Check all of the following that are correct statements, where E stands for ymc². Read each statement very carefully to make sure that it is exactly correct.
O At speeds close to the speed of light, kinetic energy is approximately equal to (1/2)mv².
O The energy principle can be written AEsys
Wsurr.
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O The definition of work is W = |I.
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O The definition K = E - mc² is valid even for speeds near the speed of light.
O The definition of work is W = .
O The definition of work is W = FxAx + F,AY + F;Az.
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O The energy principle can be written Esys,f = Esys,i + Wsurr
(b) An object with mass 120 kg moved in outer space. When it was at location its speed was 18 m/s. A single constant force N acted on the object while the object moved to location m. What is the speed of the object at this final location?
final speed
m/s
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e-ikx and f (x)
I give you a
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Let us play a game. I give you two functions. Let g(x)
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follow the standard rules of calculus! Work out the following operations on the specified functions.
a) £?g(x)
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d) pf(x)
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f) Pâg(x)
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k) Is it true that the operation of âp on a function is always equal to pâ? Justify your answer.
Chapter 3 Solutions
Introduction To Quantum Mechanics
Ch. 3.1 - Prob. 3.1PCh. 3.1 - Prob. 3.2PCh. 3.2 - Prob. 3.3PCh. 3.2 - Prob. 3.4PCh. 3.2 - Prob. 3.5PCh. 3.2 - Prob. 3.6PCh. 3.3 - Prob. 3.7PCh. 3.3 - Prob. 3.8PCh. 3.3 - Prob. 3.9PCh. 3.3 - Prob. 3.10P
Ch. 3.4 - Prob. 3.11PCh. 3.4 - Prob. 3.12PCh. 3.4 - Prob. 3.13PCh. 3.5 - Prob. 3.14PCh. 3.5 - Prob. 3.15PCh. 3.5 - Prob. 3.16PCh. 3.5 - Prob. 3.17PCh. 3.5 - Prob. 3.18PCh. 3.5 - Prob. 3.19PCh. 3.5 - Prob. 3.20PCh. 3.5 - Prob. 3.21PCh. 3.5 - Prob. 3.22PCh. 3.6 - Prob. 3.23PCh. 3.6 - Prob. 3.24PCh. 3.6 - Prob. 3.25PCh. 3.6 - Prob. 3.26PCh. 3.6 - Prob. 3.27PCh. 3.6 - Prob. 3.28PCh. 3.6 - Prob. 3.29PCh. 3.6 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48P
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