Thank you for the replies.
I see now that I forgot that the expectation value is calculated by integrating the square of the amplitude of the wavefunction, so if the wavefunction is an eigenfunction of the infinite well u_n (x) = A sin(pi*n*x/a), then the expectation value will be...
Homework Statement
This is problem 17 from Chapter 3 of Quantum Physics by S. Gasiorowicz
"Consider the eigenfunctions for a box with sides at x = +/- a. Without working out the integral, prove that the expectation value of the quantity
x^2 p^3 + 3 x p^3 x + p^3 x^2
vanishes for all the...
Thank you for replying.
I don't know if the trig functions are correct, because I've tried to do this so many times over and I am really confused.
I'll try to explain my reasoning:
The definition of the x and y coordinates in terms of the angle theta look like polar coordinates, so I reasoned...
Thank you for your answer. I think you're right, the signs are indeed wrong. Reversing the signs I get
I_0 \theta = - N_y L \sin(\theta) + N_x L\cos(\theta)
Going through till the end I get
\sin(\theta) = \cos(\theta)
This equation has one solution between 0 and Pi/2, which is Pi/4, but I...
Homework Statement
A plank of length 2L leans against a wall. It starts to slip downward without friction. Show that the top of the plank loses contact with the wall when it is at two-thirds of its initial height.
(from Kleppner&Kolenkow,An Introduction to Mechanics 1st ed., problem 6.41)...
Homework Statement
A man of mass M stands on a railroad car which is rounding an unbanked turn of radius R at speed v. His center of mass is height L above the car, and his feet are distance d apart. The man is facing the direction of motion . How much weight is on each of his feet?
Homework...
Sorry I forgot tho type that part of the problem:
a) Explain the general form of the experimental results.
b) What quantitative results can you deduce from the observations?
For part a) I have to explain that heat is transferred to the ice, increasing its temperature, till it reaches 0ºC...
Homework Statement
A quantity of water in a beaker of negligible thermal capacity is cooled to a few degrees below freezing point. The beaker is then placed in a warm room, and the times recorded at which it is at various temperatures as it gradually warms. The observations were...
Homework Statement
I'm asked to solve the Hermite Differential Equation
y''(x) - 2 x y'(x) + \lambda y(x) = 0
using the Frobenius method
2. Homework Equations
I am to assume the solution is in the form
y(x) = \sum a_n x^{n+r}
where r are the roots of the indicial equation that in this...
Ooops I did use P =I R^2, I'm so embarrassed right now.
I don't know about what is meant by steady conditions. I thought it meant dQ/dt = 0, but why wouldn't that be what they are really trying to say?
I don't know exactly how much copper is in the calorimeter, should I assume some length of...
Homework Statement
A solid copper cylinder, 50 mm long and of 10 mm radius, is suspended in a vacuum calorimeter. Wound on the cylinder is a length of fine copper wire which is used as heater and resistance thermometer. Initially the resistance of the heater is 100.2 Ω. A current of 100 mA is...
alternatives for SR
I own a copy of the first edition, but I'm still on the fence about the second edition. Do you think I can study the first edition and supplement the chapters on relativity with some other book, like David Morin's Introduction to classical mechanics, or A.P.French's book on...
Thank you for the replies.
I was trying to calculate the power at the end of the motion, y=1.5 m . At that instant I can calculate the power, since I care only for the final velocity, which I know, then P = F v.
The second approach P = W/t is valid in this case to calculate the instantenous...