Show that the orbital angular-momentum operator L commutes with both the operators p 2 and x 2
Question:
Show that the orbital angular-momentum operator L commutes with both the operators p2 and x2; that is, prove (3.7.2).
Transcribed Image Text:
[L,p²] = [L,x²] = 0 (3.7.2)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (5 reviews)
To show that the orbital angular momentum operator L commutes with both the operators p2 and x2 we n...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Engineering questions
-
(a) Can you show that the orbital angular momentum of an electron in any given direction (e.g., along the z-axis) is always less than or equal to its total orbital angular momentum? In which cases...
-
For a planet in our solar system, assume that the axis of orbit is at the sun and is circular. Then the angular momentum about that axis due to the planets orbital motion is L = MvR. (a) Derive an...
-
Show that the magnetic dipole moment M of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by -L.
-
There are major responsibilities of system administrator as listed below: o Start-up and shut down the system o Performance tuning o Managing user accounts o System security o Backup and recovery o...
-
In American football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score one or two additional points. Going for one point is virtually an...
-
Why do you think it is beneficial to hold an IT certification?
-
On January 1, 2020, Sharp Company purchased \(\$ 50,000\) of Sox Company \(5 \%\) bonds, at a time when the market rate was \(6 \%\). The bonds mature on December 31, 2024, and pay interest...
-
Consider the two tables shown in Figure 6.37. The TerID column in the SALES_REP relation is a foreign key referring to the primary key column TerID in the TERRITORY relation. Figure 6.37 Relations...
-
Mokna Corporation issued bonds on January 1 , 2015. The bonds have a coupon rate of 5.0 % , with interest paid semiannually . The face value of the bonds is $ 1,000 and the bonds mature on January 1...
-
Suppose a half-integer l-value, say 1/2, were allowed for orbital angular momentum. From we may deduce, as usual, Now try to construct Y 1/2 , -1/2 (,) by (a) applying L_ to Y 1/2 , -1/2 (,); and (b)...
-
Follow these steps to show that solutions to Kummer's Equation (3.7.46) can be written in terms of Laguerre polynomials Ln (x ), which are defined according to a generating function as where 0 (a)...
-
Gamma Corporation, an S corporation, has a fiscal year ending March 31. It is required to switch to a calendar-year tax year. How many months of income would a calendar- year taxpayer be required to...
-
Questions: 1. What is the market structure prior to entry by Watson Pharmaceuticals and Paddock Pharmaceuticals? How would it change if Watson and Paddock entered with their generic versions? 2. What...
-
1. Were you successful in stabilizing the U.S. debt? If not, how much of a deficit or surplus did you end up with? What does this exercise tell you about the process of creating a budget plan? 2....
-
At the end of its third year of operations, the Sandifer Manufacturing Co. had $4,522,000 in revenues, $3,362,000 in cost of goods sold, $458,000 in operating expenses which included depreciation...
-
Let A = F+F. Show vector A in the figure by constructing the appropriate parallelogram. Consider F3 = -F2. Show F3 in the figure. Let B = F+F3. Show B in the figure.
-
Under the government survey method of legal descriptions, a quarter of a section contains how many acres? A. C. 40 80 160 D. 640
-
Explain how increasing the required reserve ratio impacts banks money creation process. Chinas central bank will raise its reserve ratio requirement by a percentage point to a record 17.5 percent,...
-
Use the following data to answer the next two (2) questions: Product 1 Product 2 Product 3 Direct Material Cost $25,000 $30,000 $35,000 Direct Labor Cost $30,000 $40,000 $50,000 Direct Labor Hours...
-
The equilibrium constant for the reaction H 2 O H + + OH - is 1.0 10 -14 at 25. What is the value of K for the reaction 4H 2 O 4H+ + 4OH - ?
-
Make a list of the common strong acids and strong bases. Memorize this list.
-
Which is a stronger acid, (a) or (b)? (a) (b) Cl,HCCOH , Dichloroacetic acid Chloroacetic acid K = 8 x 10-2 K = 1.36 x 10-3 Which is a stronger base, (c) or (d)? (c) (d) H,NNH, Hydrazine K, = 1.1 x...
-
A fraction is a quantity which is not a whole number rather it is formed by using two numbers. A fraction has two parts; numerator and denominator separated by a "/". Examples of fraction are: 15/2,...
-
Background: Problem: PLEASE USE THIS CODE!! : public class HW3_1 { public static void main(String[] args) { // your solution method may be tested as such, with a random linked...
-
show your step-by-step solution. Infix to Postfix Conversion 1 pts Given the expression A - B / C * (D + E) and based on the pattern , what will be th...
Study smarter with the SolutionInn App