Show that the functions (1) (2) (1) (2) 2 and (1)(2) (1) (2) 2 are eigenfunctions of S 2 total What is the eigenvalue in each case

Question: Show that the functions [ (1) (2) + (1) (2)] / 2 and [ (1)(2) (1) (2)] 2 are eigenfunctions of

Show that the functions [α (1) β(2) + β (1) α (2)] / √2 and [α (1)β(2) − β (1)α (2)] 2 are eigenfunctions of Ŝ²total What is the eigenvalue in each case?

Step by Step Solution

★★★★★

3.32 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solve this problem by acting on 1 2 and 1 2 separately and combining the ... View full answer

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 Physical Chemistry Questions!

Show that the total energy eigenfunctions 210 (r, , ) and 211 (r, , ) are orthogonal. Do you have to integrate over all three variables to show that the functions are orthogonal?

Show that 1/2 are eigenfunctions of the one-spin Hamiltonian when it is written in angular frequency units hence find the corresponding eigenvalues. You should assume that i.e. that 1/2, are...

In this problem we represent the spin eigenfunctions and operators as vectors and matrices. a. The spin eigenfunctions are often represented as the column vectors Show that Î± and...

I am looking for the solution of this exercise. The value on the empty boxes is: 1210 Problem I. (35 points) Write down explicitly your personal matrix A, where instead of [ you write the last 4...

Kindly explain the following 12. A monopolist has a single production plant in California with a total cost function of c(Q) = =Q2, where Q is total output. The good can be sold to two separate...

simulation to value a gemetricmean Asian option You are required to write two R functions towards this objective as follows: Simulate stock price paths: the function will take the following inputs o...

Part 2: Organizing the Worksheets 1. Navigate to the PPCData worksheet. 2. Insert 21 rows at the top of the worksheet. 3. Use the figure below as a guide to enter the required labels and borders to...

Stream functions for steady three-dimensional flow. (a) Show that the velocity functions pv = [ x A] and pv = [( 1 ) x ( 2 )] both satisfy the equation of continuity identically for steady...

1 point Pelican Co. produces two products (A and B). Direct material and labor costs for Product A total P35 (which reflects 4 direct labor hours); direct material and labor costs for Product B total...

QUADRATIC FUNCTIONS ASSIGNMENT Name: Date: My Achievement Goal for this chapter is... A+ A B C D This Assignment is: Good to Go (Circle one) Needs Corrections Some of the answers are on the last page...

Rework Example 5-1 as described in Problem 5.13 and also assume that subbasin 2 has been developed into 1/4-ac residences. Let the values for TC = 1.14 and R = 3.5. Plot the final hydrograph for the...

The Eaton School District engaged in the following transactions during its scal year ending August 31, 2015. It established a purchasing department, which would be accounted for in a new internal...

for a meal prep company. complete one ( 1 ) Conceptual Diagram and one ( 1 ) Logical Diagram. ( show diagrams ) List a minimum of seven entities on each diagram. Use Lucidchart, Visio or any other...

At $250 a chip, is the demand for chips elastic or inelastic? Use the total revenue test to answer this question.

Calculate the permitted values of j for (a) A d electron, (b) An f electron.

What is the orbital angular momentum of an electron in the orbitals (a) 1s, (b) 3s, (c) 3d? Give the numbers of angular and radial nodes in each case.

Explain the origin of spinorbit coupling and how it affects the appearance of a spectrum.

How do you calculate the expected value for this goodness of fit test? The Frequency is the observed value how do you compute the expected value in this problem from that The results of a recent...

Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person randomly selected 100 checks and recorded the cents portions of those checks. The...

What's the future value of $250,000 after 3 vears if it earns 26% annuallv? What's the present value of $90,000 to be received in 3 years if the annual interest i What annual interest rate would...