Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Question
Chapter 5, Problem 47E
(a)
To determine
To show the wave function is given by
(b)
To determine
Sketch the wave function and energy on same diagram.
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Students have asked these similar questions
A particle of mass m is bound in a one-dimensional well with one impenetrable wall. The potential energy is given by the equation in the first provided image and the well is depticed in the second provided image.
Show that there will be no bound state unless 2mV0 / ħ ≥ π2 / 4.
(Hint: Note the similarity of this problem to the solution of the finite square well for the odd wave functions. )
Consider an infinite well, width L from x=-L/2 to x=+L/2. Now
consider a trial wave-function for this potential, V(x) = 0 inside the well
and infinite outside, that is of the form (z) = Az. Normalize this
wave-function. Find , .
Show that the average value of x2 in the one-dimensional infinite potential energy well is L2 ((1/3)-(1/2(n^2)(pi^2))).
Chapter 5 Solutions
Modern Physics
Ch. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQ
Ch. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 16CQCh. 5 - Prob. 17CQCh. 5 - Prob. 18CQCh. 5 - Prob. 19ECh. 5 - Prob. 20ECh. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38ECh. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Obtain expression (5-23) from equation (5-22)....Ch. 5 - Prob. 44ECh. 5 - Prob. 45ECh. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - Prob. 50ECh. 5 - Prob. 51ECh. 5 - Prob. 52ECh. 5 - Prob. 53ECh. 5 - Prob. 54ECh. 5 - Prob. 55ECh. 5 - Prob. 56ECh. 5 - Prob. 57ECh. 5 - Prob. 58ECh. 5 - Prob. 59ECh. 5 - Prob. 60ECh. 5 - Prob. 61ECh. 5 - Prob. 62ECh. 5 - Prob. 63ECh. 5 - Prob. 64ECh. 5 - Prob. 65ECh. 5 - Prob. 66ECh. 5 - Prob. 67ECh. 5 - Prob. 68ECh. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - Prob. 71ECh. 5 - In a study of heat transfer, we find that for a...Ch. 5 - Prob. 73CECh. 5 - Prob. 74CECh. 5 - Prob. 75CECh. 5 - Prob. 76CECh. 5 - Prob. 77CECh. 5 - Prob. 78CECh. 5 - Prob. 79CECh. 5 - Prob. 80CECh. 5 - Prob. 81CECh. 5 - Prob. 82CECh. 5 - Prob. 83CECh. 5 - Prob. 84CECh. 5 - Prob. 85CECh. 5 - Prob. 86CECh. 5 - Prob. 87CECh. 5 - Prob. 88CECh. 5 - Consider the differential equation...Ch. 5 - Prob. 90CECh. 5 - Prob. 91CECh. 5 - Prob. 92CECh. 5 - Prob. 93CECh. 5 - Prob. 94CECh. 5 - Prob. 95CECh. 5 - Prob. 96CECh. 5 - Prob. 97CECh. 5 - Prob. 98CE
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- Use the ground-state wave function of the simple har- monic oscillator to find x, (x²), and Ax. Use the nor- malization constant A = (mw0/hr)1/4. av ayarrow_forwardConsider a d-functional potential well U(x) = -V8(x – a) o at | spaced by the distance a from an infinite potential barrier U(x) a < 0, as shown in the figure below. Obtain an equation for the energy level Eo of a bound state in the well. Using this equation, find the minimum distance ac of the well from the barrier at which the bound state in the well disappears for all a < ac. Infinite potential barrier a - Eo Energy level of a bound state U (x) = -V8(x – a) -arrow_forwardThe wave function for the first excited state y, for the simple harmonic oscillator is y, = Axe (ax-/2), Normalize the wave function to find the value of the constant A. (Use the following as necessary: a) A%3D Determine (x), (x-), and y (x2) - (x)². (Use the following as necessary: a) (x) (x?) V (x?) - (x)? : Need Help? Read Itarrow_forward
- Apply the boundary conditions to the finite square well potential at x = L to find the following. (a) the relationships among the coefficients B, C, and D due to boundary conditions (Use the following as necessary: a, k, L, C and D.) Y is continuous B = is continuous dx B = (b) the ratio C/D (Use the following as necessary: a, k, and L.)arrow_forwardquestion 6 pleasearrow_forwardCalculate the expectation value of x2 in the state described by ψ = e -bx, where b is a ħ constant. In this system x ranges from 0 to ∞.arrow_forward
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