Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 5, Problem 57E
To determine
The uncertainty in a particle’s momentum in an infinite well in the general case of arbitrary
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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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- Consider an infinite square well with wall boundaries x=0 and x=L. Explain why the function (x)=Acoskx is not a solution to the stationary Schrödinger equation for the particle in a box.arrow_forwardFfor a particle rotating on a ring, (a) give the expression of the probability py(?) of finding the particle at angle ? in the state arrow_forwardAn electron is trapped in a one-dimensional infinite potential well. Show that the energy difference E between its quantum levels n and n + 2 is (h2/2mL2)(n + 1).arrow_forward
- An electron, trapped in a one-dimensional infinite potential well 250 pm wide, is in its ground state. How much energy must it absorb if it is to jump up to the state with n= 4?arrow_forwardA particle in a 1-dimensional infinite potential well is in the n = 1 state. Calculate the probability that the particle will be located in the range of 0.5L ≤ x ≤ 0.75L, where L is the width of the wallarrow_forwardAn electron is confined to a three-dimensional infinite cubic well with side length L = 0.200 nm. The ground state is non-degenerate, while the first excited state is 3-fold degenerate. What is the energy of the lowest energy non-degenerate excited state?arrow_forward
- For the infinite square-well potential, fi nd the probability that a particle in its ground state is in each third of the one-dimensional box: 0 ≤ x ≤ L/3, L/3 ≤ x ≤ 2L/3, 2L/3 ≤ x≤ L. Check to see that the sum of the probabilities is one.arrow_forwardShow that the average value of x2 in the one-dimensional infinite potential energy well is L2 ((1/3)-(1/2(n^2)(pi^2))).arrow_forwardProve that assuming n = 0 for a quantum particle in an infinitely deep potential well leads to a violation of the uncertainty principle Δpx Δx ≥ h/2.arrow_forward
- Consider a particle of mass m in a one-dimensional infinite square well with V(x) = 0 for 0 ≤ x ≤ a and V(x) = elsewhere. A time-dependent perturbation is added of the form 2x V₁(x,t) = = ε - 1 sin(wt) for 0 ≤ x ≤ a a = ∞ If initially the particle is in the ground state, calculate the probability that it will make a transition to the first excited state.arrow_forwardProve in the canonical ensemble that, as T ! 0, the microstate probability ℘m approaches a constant for any ground state m with lowest energy E0 but is otherwise zero for Em > E0 . What is the constant?arrow_forwardA proton and an electron are trapped in identical onedimensional infinite potential wells; each particle is in its ground state. At the center of the wells, is the probability density for the proton greater than, less than, or equal to that of the electron?arrow_forward
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