Calculate the normalization constant, Macroeconomics

This is a maple assignment, but it is also a research assignment. You will have to consult earlier worksheets, textbooks, and perhaps the internet to answer some of these questions - this is not only suggested, it is expected, so remember to reference your submission. Your submission does not have to be a .mws file, but if it is not it should be pdf.


 A Particle in a box

In order to answer the following questions you will need to consider an infinite potential well of length L, in which a particle has been confined.

1. For principal quantum number n=7, write code to calculate the normalization constant.

Then, plot the probability density function for this state (using L = 10).

2. Using the properly normalized wave equation from Question 1, write code to determine the expectation values <x> and 2> . Is one of the most probable positions? Explain why.

3. Using the properly normalized wave equation from Question 1, write code to determine the expectation values <p> and 2> . Show the value you obtain for 2> is equal to 2mE7 (where E7 is the energy of the n = 7 level). Remember that p is a differential operator so you will have to use the diff command.

4. The uncertainty of a quantum measurement is defined on page 222, Equation 6.41 (3rd edition SMM). Using this equation calculate the uncertainties of the position and momentum of a particle in the n = 5 state. Compute the product of these uncertainties and compare this with the prediction of the Heisenberg uncertainty principle.

Quantum oscillator

5. Repeat calculations in the previous question for the ground state wave function of the quantum oscillator. Comment on the obtained result.

Posted Date: 2/26/2013 12:02:59 AM | Location : United States

Related Discussions:- Calculate the normalization constant, Assignment Help, Ask Question on Calculate the normalization constant, Get Answer, Expert's Help, Calculate the normalization constant Discussions

Write discussion on Calculate the normalization constant
Your posts are moderated
Related Questions
How can we define the real wage as nominal wage We define real wage as nominal wage divided by a price index (typically CPI). In the illustration above, your real wage was 20 i

The figure below defines an economy's aggregate demand curve and its short-runand long-run aggregate supply curves (labelled AD, SRAS, and LRAS, respectively). practically,the econ

how long will it take for you to help me with assignment

The _______________ illustrates the notion of opportunity cost. If an economy is fully utilizing its resources, it can produce more of one product only if it produces less of anoth

I''m trying to figure out what the effect would be on LM or IS curve, and additionally the interest rate and income if (a) the transactional demand for money increases, (b) the liq

What is average cost in the producing output? Average total cost , frequently considered as to simply average cost, is sum of total cost divided through quantity of output gen

Question 1: What is the equilibrium price and quantity? Question 2: How do you describe the market situation, if the market price is higher than the equilibrium price? Qu

Outline briefly a.      How people make decisions? b.      How they interact? c.       How economy as a whole works? 1.  Give three examples of important trade offs, th

What are the advantages of leaving resource allocation to price allocation? Ans) The 5 benefits are Neutral, Flexible, Freedom of choice, No administrative cost and lastly Dimin

explain the structure of the economy and its impact on the gdp of sountry.