Question: If a wave function is defined as n = ( L 2 ) 2 1 s i n ( L n x ) for 0

If a wave function is defined asn=(L2)21sin(Lnx) for 0xL, whats the expectation value of x, which is defined as<x>n=nxndx

xsin2(ax)dx=4x24axsin(2ax)4acos(2ax)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Davida Mo Homework: Chapter 2 Homework Save 2 . l l { i 4 of'30 (9 complete) 7 , HW Score: 30%, 9 of 300 v ' "1th ar- .. 4-.1- h, I.. .. .-. .V..V won-mr... -., 9 := Question Help Construct a...

Q:

3.7.1 Gibbs Distribution In this exercise, we first check that the KullbackLeibler divergenceK (q;p) is nonnegative on the set P(M) of probability distributions on M. Then, we prove that the Gibbs...

Q:

Recall that the factorial function is defined as n ! = 1 2 3 ? ( n ? 1) n and, by convention, 0! = 1. Give a recurrence relation for n !.

Q:

1 1 12 A Mustard Sauce company wants to tailor its products of mustard sauces to suit its customers. They run a market survey where the test subject rates different sauces. After some processing they...

Q:

Consider u(x, I) that solves the heat or wave equation and is periodic in x with period 2L. This could describe a thin circle of wire with length 2L, for instance. Use the spatial coordinate x E [-L,...

Q:

5. (5 points) This is a problem to consider and think about the variational energy of the lowest wave function in a particle-in-a-box with a slightly slanted bottom (dotted line). V(x) x | a

Q:

CASE A3 Atlas Tire and Rubber Company1 Executive Summary Faced with financial and competitive challenges in 200X, Atlas Tire and Rubber Company's new CEO developed a strategic plan that included an...

Q:

Consider two no interacting identical particles with spin 1/2 that are confined in a cubical box of side L. (a) Find the total wave function T (51, 52) = 4 (1,, 2) x (S,, $2), where y (r, 2) is the...

Q:

Define the function Rec(n) as fibcount (n) l] where fibcount is defined in Chapter 1. Prove that for n22 Ree(n) = Rec(11-1) + Ree(n-2) + 1 and consequently, that n 20 Ree(n) = 2fib(n)-1 Define the...

Q:

Refer to the attachment 5 A company had the following budget and actual results over a particular quarter: Budget Actual Number of units sold 1,000 1,400 S S Sales revenue 120,000 160,000 Raw...

Q:

Dengo Company makes a trail mix in two departments: Roasting and Blending Direct materials are added at the beginning of each process, and conversion costs are added evenly throughout each process....

Q:

Consider the following normalized relations for a sports league: What recommendations would you make regarding opportunities for denormalization? What additional in-formation would you need to make...

Q:

( 6 p t s ) Compute the following: d d x f ( g ( x ) ) where f ( x ) = x 4 - x 2 and g ( x ) = x 2 - 8 . Show all work for full credit. Write your answer i n the box below. d d x f ( g ( x ) ) =

Q:

Suppose samples are taken from two different groups of workers (50 in each sample) The first has an average wage of $550week (standard deviation 50), and the second has an average wage of $575week...

Q:

Nitrogen at 300 K, 3 MPa is heated to 500 K Find the change in enthalpy using (a) Table B21, (b) Table A8, and (c) Table A5

Q:

The following information is to be used in costing inventory on September 31: September 1- Beginning balance 6,000 units at P60 per unit. September 4 Purchased 4,700 units at P70 per unit. September...

Q:

D Question 1 In the following circuit, Vdd is power, Vss is ground. What function is Vout? B U Vout= AND(A, B, C) Vout NAND (A, B, C). = Vout NOR(A, B, C) O Vout = OR (A, B, C) 2 pts = out

Q:

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

Q:

What is an organizations structure, and what does it consist of? LO1.

Q:

Leaders can be trained to be effective. In fact, such training can be used to increase transformational leadership behaviors, despite the fact that charisma is somewhat dependent on personality and...

Q:

As the company changes through growth, is it possible that the founders leadership style might not be the appropriate style for the future? How would you tell? LO1.