The operator for the square of the total spin of two electrons is Given that show that
Question:
Given that
show that α(1)α (2) and β(1)β(2) are eigenfunctions of the operator SÌ2total . What is the eigenvalue in each case?
Transcribed Image Text:
Sotal = ($ + $;}² = $} + $3 + 2(§¡„§2» + §¡»$,, + $j$). S,α-3β. 5,α = 1β 5,a- Ŝ„B = - in -α, ρ-3 p---p 6,β -5a 3,β = -η α, sβ. 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
The eigenvalue is 2h ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
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?
-
a. Consider two kets | > and | >. Suppose < | >, < | ), and < | >, < |), are all known, where | >, | ), form a complete set of base kets. Find the matrix representation of the operator | > < | in...
-
A spin 1/2 particle is bound to a fixed center by a spherically symmetrical potential. c. Show that your result in (b) is understandable in view of the transformation properties of the operator S?x...
-
The combined sewer system in city ABC is comprised of two parallel interceptors referred to as "North" and "South" lines. The southern line is connected to a newly built wastewater treatment plant....
-
A passenger in an airplane at an altitude of 10kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 28° and 55° (see figure). How far apart...
-
McGrath Co. on June 30, 2015, reported a retained earnings balance of $1,475,000 before closing the books. The books of the company showed the following account balances on June 30, 2015: Sales . . ....
-
An investment center is responsible for: a. Investing in long term assets. b. Controlling costs. c. Generating revenues. d. All of the above.
-
The payroll of YellowCard Company for September 2013 is as follows. Total payroll was $480,000, of which $110,000 is exempt from Social Security tax because it represented amounts paid in excess of...
-
On January 1, 2020, $200,000, 4-year,9% bonds were issued. The interest rate in effect when the bonds were issued was 8%. Interest is paid semi-annually on January 1 and July 1. Bond paid in full...
-
After looking at the projections of the HomeNet project, you decide that they are not realistic. It is unlikely that sales will be constant over the four-year life of the project. Furthermore, other...
-
In this problem you will show that the charge density of the filled n = 2, l = 1 subshell is spherically symmetrical and that therefore L = 0. The angular distribution of the electron charge is...
-
In this problem, you will use the variational method to find the optimal 1s wave function for the hydrogen atom starting from the trial function Φ(r) = e αr with...
-
Through what potential difference should you accelerate an electron from rest so its de Broglie wavelength will be the size of a hydrogen atom, about 0.1 nm?
-
Wildhorse, Inc., manufactures golf clubs in three models. For the year, the Big Bart line has a net loss of $5,500 from sales $201,000. variable costs $176,000, and fixed costs $30,500. If the Big...
-
- An employee received the following benefits: 13th month pay P120,000; Profit sharing - P30,000; De minimis benefits within their limits - P90,000; Excess de minimis benefits - P70,000; Other de...
-
Cast Iron Grills, Incorporated, manufactures premium gas barbecue grills. The company reports inventory and cost of goods sold based on calculations from a LIFO periodic inventory system. Cast Iron's...
-
Taveras Corporation is currently operating at 5 0 % of its available manufacturing capacity. It uses a job - order costing system with a plantwide predetermined overhead rate based on machine -...
-
The following question was designed to test your knowledge of closing entries. If the account is Column "A" should be closed indicate in Column "B" whether the accounts in Column "A" should be...
-
For ordered scores {u a }, let y? 1 = ? a u a p a+ and y? 2 = ? a u a p +a . Show that marginal homogeneity implies that E(Y? 1 ) = E(Y? 2 ) and estimates var(Y? 1 ? Y? 2 ). Construct a test of...
-
You work as an operations consultant for a textile company. Your client has a well-established distribution system in the US market. The company has hundreds of stores and four distribution centers....
-
Consider a particle in a cubic box. What is the degeneracy of the level that has an energy three times that of the lowest level?
-
Show that the sp 2 hybrid orbital (s + 2 1/2 p)/3 1/2 is normalized to 1 if the s and p orbitals are normalized to 1.
-
Calculate the permitted values of j for (a) A d electron, (b) An f electron.
-
A rare gem known as Tanzanite is found only in the country of Tanzania. Because no mines have been discovered in other countries, Tanzania would production of this gem. A. absolute OB. comparative...
-
tion 3 of 21 > O Macmillan Learning What is Uganda's real GDP if its nominal GDP is $27.5 billion (in current US$), and the GDP deflator is 163.4? $16.8 billion $44.9 billion $27.5 billion $12.4...
-
Price D Demand D Quantity Consider the graph shown here. An increase in the price of a complement would be represented by a movement from Selected Answer: Answers: B to A. A to B. B to A. D1 to D2....
Study smarter with the SolutionInn App