Show that if the change of variable x( ( x - 1/2 l (corresponding to shifting the

Question:

Show that if the change of variable x( ( x - 1/2 l (corresponding to shifting the origin to the center of the box) is made in the functions (8.62), then (1 and (2 are even functions of x( and (3 and (4 are odd.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Quantum Chemistry

ISBN: 978-0321803450

7th edition

Authors: Ira N. Levine

See More Books

Question Posted: May 26, 2016 06:26 AM

See More Questions

(a) Let f(x) be an even function of x so that f(x) = f (-x). Show that a-a (x) dx = 2 a0 (x) dx. (Hint: Write the integral from -a to a as the sum of the integral from -a to 0 and the integral...
For a certain oscillator the net force on the body with mass m is given by F. = -ex. (a) What is the potential energy function for this oscillator if we take U = 0 at x = O? (b) One-quarter of a...
Calculate the integral in Eq. (18.30), ∫∞0 U f (U) du, and Compare this result to Uav as given by Eq. (18.35). (Hint: Make the change of variable v2 = x and use the tabulated integral
State whether or not each of the following events would result in a liability being recognised in the accounts at 30 June. 1. Taxes for the year ended 30 June, which are not payable until October. 2....
Determine the inflation-adjusted interest rate for a growth company that wants to earn a real rate of return of 20% per year when the inflation rate is 5% per year.
What are the advantages of the net present value?
The StatCrunch printout below was obtained from fitting the model y = b0 + b1x1 + b2x2 + b3x1x2 + e to n = 15 data points. a. What is the prediction equation? b. Give an estimate of the slope of the...
Flo Choi owns a small business and manages its accounting. Her company just finished a year in which a large amount of borrowed funds was invested in a new building addition as well as in equipment...
The following data are for Guava Company's retiree health care plan for the current calendar year. Number of employees covered 5 Years employed as of January 1 4 (each) Attribution period 20 years...
Beth R. Jordan lives at 2322 Skyview Road, Mesa, AZ 85201. She is a tax accountant with Mesa Manufacturing Company, 1203 Western Avenue, Mesa, AZ 85201 (employer identification number 11-1111111)....
Solve the second-order secular equation (8.56) for the special case where H11 = H22 and S11 = S22. ((1 and (2 are real functions.) Then solve for c1/c2 for each of the two roots W1 and W2.
Verify the values given for H12, H22, S12, and S22 in the example in Section 8.5.
The financial statements of Hershey Foods are presented in Appendix B, following the financial statements for Tootsie Roll in Appendix A. yf RATS Tae? Roll Instructions (a) Based on the information...
Refer to Figure 11.2: Is it more costly to build in Los Angeles or in Washington DC? What is the cost difference? Figure 11.2 Location Factors Costs shown in RSMeans Square Foot Costs are based on...
Suppose the prism in Figure P33.27 is immersed in a liquid in which the speed of light is lower than the speed of light in glass. Describe what happens to the light shown entering at normal...
Each year, the AICPA issues a general audit risk alert document and a number of industry audit risk alerts. If you can obtain access to a current copy of either the general alert or one of the...
The multieffect distillation system shown in Figure 11-4 appears to be able to cut energy use in half; however, the reduction is not this large. Explain why. Figure 11-4 F PL D, D Reflux B PH
Schemes 11-6E and 11-6F accomplish the same task of removing and purifying an intermediate component. a. What factors enter into the decision to use scheme $11-6 \mathrm{~F}$ instead of \(11-6...
A company that is selling database management optimization software contacts you to pitch its product. The representative claims that the memory management software will reduce page fault rates for...
You are standing on the top of a building and throw a ball vertically upward. After 2 seconds, the ball passes you on the way down, and 2 seconds after that, it hits the ground below. a. What is the...
A sample of monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Figure P21.67). It is heated at constant volume to 3.00 atm (point B). Then it is allowed to expand...
This problem can help you to think about the size of molecules. In the city of Beijing a restaurant keeps a pot of chicken broth simmering continuously. Every morning it is topped up to contain 10.0...
(a) If it has enough kinetic energy, a molecule at the surface of the Earth can escape the Earths gravitation, in the sense that it can continue to move away from the Earth forever, as discussed in...
Current Attempt in Progress On July 3 1 , 2 0 2 2 , Crane Compary had a cash balance per books of $ 6 , 2 4 5 . 0 0 . The statement from Dakata State Bark on that date showed a balance of $ 7 , 7 9 5...
Cede & Co. expects its EBIT to be $89,000 every year forever. The firm can borrow at 5 percent. Cede currently has no debt, and its cost of equity is 10 percent. If the tax rate is 35 percent, what...
In the Marriott example, one discussion point considered when a firm might use a single hurtle rather than different divisional or business unit rates. When a single rate is used and the divisions...

Show that if the change of variable x( ( x - 1/2 l (corresponding to shifting the

Question:

Step by Step Answer:

x x 12 l and the functions ...View the full answer

Quantum Chemistry

Students also viewed these Mechanics questions