Question


1. An angular momentum system is prepared in the state, )I,1)V0) +i12,2)-12,0) a) What are the possible measurements of L2, a
0 0
Add a comment Improve this question Transcribed image text
Answer #1

² latih & probability (1+1) ħ = 2h pa 11,1) = (2 + 3 + + + 22 ) 11,0) = 1641 652ks 12,27= 2 (2+1)&=6ha e probability = 2/2 12b) - component mh 11,1)= ixt → probability Ž 1107: O = P = 12,27= 2h = P = 15 12,075 ohão > PE 23 so measured values o, ti aħ

Add a comment
Know the answer?
Add Answer to:
1. An angular momentum system is prepared in the state, )I,1)V0) +i12,2)-12,0) a) What are the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1 2. Consider the normalized spin state To (31t) +i\L)) (2) 10 (a) Is this state...

    1 2. Consider the normalized spin state To (31t) +i\L)) (2) 10 (a) Is this state lx) an eigenstate of $2 ? Is it an eigenstate of Ŝe ? (Justify your answers.) In each case, if it is an eigenstate, give the eigenvalue. (b) If the spin state is as given above, and a measurement is made of the 2-component of the angular momentum, what are the possible results of that measurement and what are probabilities of each possible result?...

  • (V.4) A particle is observed to have orbital angular momentum quantum number 2. The z component...

    (V.4) A particle is observed to have orbital angular momentum quantum number 2. The z component of the angular momentum is measured to be Lz2h. A second particle is observed to have orbital angular momentum quantum number l2-2 and a z component ha = +2 V1(1 +1), what are the possible outcomes, and with what relative probabilities? What is the expectation value (L)'? h. If a measurement is made of the total angular momentum L-h

  • 4. Spin (10 marks) Suppose an electron is in a state such that its spin can...

    4. Spin (10 marks) Suppose an electron is in a state such that its spin can be described by a linear superposition of the eigenspinors of S +A 32 2/22 (a) Normalise the state. (b) What are the possible outcomes of a measurement of the z-component of the spin? What is the probability of each possible result? (c) What are the expectation value and uncertainty of the z-component of the spin? (d) What are the possible results of measuring the...

  • 322 CHAPTER 5. ANGULAR MOMENTUM Problem 5.12 Consider a particle whose wave function is 1 222-x2-y2...

    322 CHAPTER 5. ANGULAR MOMENTUM Problem 5.12 Consider a particle whose wave function is 1 222-x2-y2 4 A 3 xz (x, y, z) = 2 2 Calculate L2 (x, y, z) and L-y(x, y, z). Find the total angular momentum of this particle. (b) Calculate L+ y (x, y, z) and (Y L+ W). (c)If a measurement of the z-component of the orbital angular momentum is carried out, find the probabilities corresponding to finding the results 0, h, and -h....

  • Problem 1. (20 points) Consider two electrons, each with spin angular momentum s,-1/2 and orbital angular momentum ,-1....

    Problem 1. (20 points) Consider two electrons, each with spin angular momentum s,-1/2 and orbital angular momentum ,-1. (a) (3 points) What are the possible values of the quantum number L for the total orbital angular momentum L-L+L,? (b) ( 2 points) What are the possible values of the quantum number S for the total spin angular momentum S-S,+S, (c) Points) Using the results from (a) and (b), find the possible quantum number J for the total angular momentum J-L+S....

  • A spin-3/2 system can have four values of angular momentum (Sz) when measured along the z-...

    A spin-3/2 system can have four values of angular momentum (Sz) when measured along the z- 2 2 If we measure the angular momentum of 1000 atoms, each prepared in the following state lp〉, how many times should we expect to measure an angular momentum of a) ? 2 Here 3 h the state of the system with an angular momentum of - etc.

  • a)find normalized value for C b)What are the possible outcomes for angular momentum and what are...

    a)find normalized value for C b)What are the possible outcomes for angular momentum and what are the probabilities of these outcomes? c)What are the possible outcomes for energy measurement and what are the probabilities of these outcomes? I believe I solved c correctly and got 1/sqrt(12*pi) but I don't know where to go for b and c. Thanks in advance. ψ(9)-C (2V2cos(9) + v ) + iV2cos(90)) 6 sin (3θ

  • Two particle state

    Two Particle State problem, measurement of total angular momentum, finding probabilities, action of lowering operatora) A particle of spin \(3 / 2\) and a particle of spin 1 are found in the state \(\left|\frac{3}{2}-\frac{1}{2}\right\rangle\) of total spin. Assume that the particles are in a state of zero orbital angular momentum.Find which values of the z-component of the spin of the two particles can be measured and with what probabilities.The following information applies to parts \(\mathbf{b}\) ) and \(\mathbf{c}\) ).An electron...

  • 3. (6 points) Measurements on a two-particle state Consider the state for a system of two...

    3. (6 points) Measurements on a two-particle state Consider the state for a system of two spin-1/2 particles, (2]+).I+)2 +1-)[+)2-1-)1-)2). (a) Show that this state is normalized. (b) What is the probability of measuring S: (the z-component of spin for particle 1) to be +h/2? After this measurement is made with this result, what is the state of the system? If we make a measurement in this new state, what is now the probability of measuring S3 = +h/2? (e)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT