Question

Image for 3.9. Calculate deltaSx, and DeltaSy for an eigenstate of SZ for a spin-1/2 particle. Check to see if the uncer Problem 3.9
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Problem 3.9 3.9. Calculate deltaSx, and DeltaSy for an eigenstate of SZ for a spin-1/2 particle....
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
  • for spin 1 particle ,construct Sx,Sy,Sz and S^2 matrix

    for spin 1 particle ,construct Sx,Sy,Sz and S^2 matrix

  • (7) Consider a spin-1/2 particle that is in the eigenstate of S,. The sys- tem is...

    (7) Consider a spin-1/2 particle that is in the eigenstate of S,. The sys- tem is rotated by an angle 0 = T/4 about z axis. What is. (a) State of the system after rotation?? (b) What are the expectation values of S2, S, and S̟ after rotation ??

  • Problem 111.3. A spin 1/2 particle interacts with a nnagnetic field B = Boe through the...

    Problem 111.3. A spin 1/2 particle interacts with a nnagnetic field B = Boe through the Pauli interaction H-μσ. B where μ is the magnetic moment. The Pauli spin matrices are İ-(Oz,@yMwwhere the σί are T0 1 0-il The eigenstates for d, are the spinors 0 (a) (3 pts.) Suppose that at time t-0 the particle is in an eigenstate Xx corresponding to spin pointing along the positive z-axis. Find the eigenstatexz in terms of α and β. (b) (7...

  • (2.1) (20 points) A spin 1/2 particle is in an eigenstate of Sy with eigenvalue h/2...

    (2.1) (20 points) A spin 1/2 particle is in an eigenstate of Sy with eigenvalue h/2 at the initial time t = 0. At that time, it is placed in a magnetic induction B = B2, and it is then allowed to precess in that induction for the time T. Then, at that instant T, B is instantaneously rotated from the z to the y direction, becoming B = Bį. After another identical time interval T occurs, a measurement of...

  • A particle of spin 1/2 and a particle of spin 1 are in configuration with total...

    A particle of spin 1/2 and a particle of spin 1 are in configuration with total spin equal to 3/2 and with the z-component of the total spin equal to 1/2 (state | 3/2 , 1/2 >). If you could measure the z-component of the spin of the spin-1 particle, what values would you get and what are the probabilities associated with each one of those values?

  • [3] A spin-1/2 particle is in the state IW) 1/311) +i2/3|). (a) A measurement is made of the x component of the spi...

    [3] A spin-1/2 particle is in the state IW) 1/311) +i2/3|). (a) A measurement is made of the x component of the spin. What is the probability that the spin will be in the +z direction? (b) Suppose a measurement is made of the spin in the z direction and it is found that the particle has m,#1/2. what is the state after the measurement? (c) Now a second measurement is made immediately after to determine the spin in the...

  • 1. In this problem, we are going to look at a three-level system. A spin-1 particld is placed in ...

    1. In this problem, we are going to look at a three-level system. A spin-1 particld is placed in a constant magnetic field along the a-direction with strength B,. The spin-1 particle İs initialized in a z-eigenstate with positive eigenvalue h, ie, the i 1,m 1) state. What is the probability to find the negative eigenvalue the spin along the z axis as a function of time? Assume that the spin-1 particle has inagnetic moment 2 × μιι, i.e. that...

  • Consider the state of a spin-1/2 particle 14) = v1o (31+z) + i] – z)) where...

    Consider the state of a spin-1/2 particle 14) = v1o (31+z) + i] – z)) where | z) are the eigenstates of the operator of the spin z-component $z. 1. Show that [V) is properly normalized, i.e. (W14) = 1. 2. Calculate the probability that a measurement of $x = 6x yields 3. Calculate the expectation value (Šx) for the state 14) and its dispersion ASx = V(@z) – ($()2. 4. Assume that the spin is placed in the magnetic...

  • Assignment 7 Problem 1. [100pt] The Hamiltonian for a spin-1/2 particle with charge te in an...

    Assignment 7 Problem 1. [100pt] The Hamiltonian for a spin-1/2 particle with charge te in an external magnetic field is ges.B 2mc Calculate the operator ds/dt if B = Bu, what is S2(t) in matrix form?

  • 1. Consider a particle of mass m in an infinite square well with potential energy 0...

    1. Consider a particle of mass m in an infinite square well with potential energy 0 for 0 Sz S a oo otherwise V (x) For simplicity, we may take the 'universe' here to be the region of 0 S z S a, which is where the wave function is nontrivial. Consequently, we may express stationary state n as where En is the associated mechanical energy. It can be shown that () a/2 and (p:)0 for stationary state n. (a)...

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