Consider a particle of mass m in the ground state of an infinite square-well potential of...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a particle of mass m in the ground state of an infinite square-well potential of width a/2. Its normalized wave function at time t = 0 is 2nx sin- Y(x, 0) = { Va 2 if 0 <x< a/2 a elsewhere. At this time the well suddenly changes to an infinite square-well potential of width a without affecting the wave function. By writing V(x, t) as a linear superposition of the energy eigenfunctions of the new potential, find the probability that a subsequent measurement of the energy will yield the result E 2ma? (Hint: A linear superposition of square-well eigenfunctions is a Fourier sine series, and the coefficients of the series are given by simple integrals.) Consider a particle of mass m in the ground state of an infinite square-well potential of width a/2. Its normalized wave function at time t = 0 is 2nx sin- Y(x, 0) = { Va 2 if 0 <x< a/2 a elsewhere. At this time the well suddenly changes to an infinite square-well potential of width a without affecting the wave function. By writing V(x, t) as a linear superposition of the energy eigenfunctions of the new potential, find the probability that a subsequent measurement of the energy will yield the result E 2ma? (Hint: A linear superposition of square-well eigenfunctions is a Fourier sine series, and the coefficients of the series are given by simple integrals.)
Expert Answer:
Related Book For
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
Posted Date:
Students also viewed these accounting questions
-
For a particle confined to an infinite square well, is it correct to say that each state of definite energy is also a state of definite wavelength? Is it also a state of definite momentum? Explain.
-
A square plate of width b and thickness t is loaded by normal forces Px and Py, and by shear forces V, as shown in the figure. These forces produce uniformly distributed stresses acting on the side...
-
A traveling sine wave is the result of the superposition of two other sine waves with equal amplitudes, wavelengths, and frequencies. The two component waves each have amplitude 5.00 cm. If the...
-
It is stated in Section 40.3 that a finite potential well always has at least one bound level, no matter how shallow the well. Does this mean that as U 0 0, E 1 0? Does this violate the Heisenberg...
-
Suppose that Jewelry Company is planning to sell twenty thousand ounces of platinum at some future date. The standard deviation of changes in the futures price per ounce sdF is 12.86, that for...
-
Prove that, defined in Eq. (5.52), is a tensor. v
-
Explain the importance of the idea of a "civilizing mission" to both people living under colonialism and people in the colonizing countries.
-
Construct a network from the information in the following table and identify all the paths in the network, compute the length of each, and indicate the criticalpath. Activity Activity Predecessor...
-
The following information pertains to Mason Company for Year 2. Beginning inventory Units purchased 160 units @ $52 446 units @ $78 Ending inventory consisted of 64 units. Mason sold 542 units at...
-
1. How can managers use recommendations derived from need theories to motivate temporary employees? Discuss. 2. To what extent can managers use Herzberg's two-factor theory to motivate temporary...
-
You work for a software outsourcing company, and you received the following information below. Based on the requirements below, create two quotes using two methods. SLOC - 10,000 Reused - 750 lines...
-
address the following: Describe any experience with Microsoft PowerPoint, whether in school, on the job, or in your personal life. Explain how mastering Microsoft PowerPoint will impact your ability...
-
(1) How did Peter Brand (Jonah Hill ), a recent college grad, find himself in the position to directly influence the HR decision-making of the Oakland A's? (2) One version of the screenplay has this...
-
What are 2-3 key differences in how Korean and U.S. media talk about the shooting? The first difference was that the Korean media labeled the attack as racially motivated while the U.S media...
-
Using any software tool of your choice (e.g., Visio, PowerPoint, MS Word, yED, Lucidchart, etc.) create, draw and submit... OPTION #1 A data flow diagram for an ATM system OR OPTION #2 A Level 0 DFD...
-
College Name Boston University Average GPA Average SAT 3.7 1930 Drexel University 2.48 1765 George Washington University 3.62 1950 Northeastern University 3.69 2070 University of Southern California...
-
5. Brutus doesn't like lengthy speeches; his friend Cicero does like such speeches, at least to a point. Every day they go together to the Senate House, where they listen to speeches together....
-
Is times interest earned meaningful for utilities? Why or why not?
-
The following table (A. Held Statistical theory with Engineering Applications John Wiley fc Sons New York. 1952) gives tensile1 st lengths of deviations from 340 for wires taken from nine cables to...
-
In Myers, Classical and Modern Regression with Applications, Duxbury Classic Series, 2nd edition 1990, an experiment is described in which the Environmental Protection Agency seeks to determine the...
-
Consider the electric power data of Exercise 12.9. Test H0: 1 = 02 = 0 making use of R (1, 23, 4). Give a P-value, and draw conclusions.
-
In a vapour compression refrigeration system, the condition of refrigerant before entering the compressor is (a) saturated liquid (b) wet vapour (c) dry saturated liquid (d) superheated vapour
-
The highest temperature during the cycle in vapour compression refrigeration system occurs after (a) compression (b) condensation (c) expansion (d) evaporation
-
During a refrigeration cycle, heat is rejected by the refrigerant in (a) compressor (b) condenser (c) evaporator (d) expansion valve
Study smarter with the SolutionInn App