Question

In: Physics

A single spin ½ quantum particle is prepared in a linear combination of its two spin-z...

A single spin ½ quantum particle is prepared in a linear combination of its two spin-z eigenstates. At time t = 0, the state is ∣ ψ >= 4 5 ∣↑ > z + 3 5 ∣↓ > z and placed in a uniform magnetic field that is directed along the z-axis.

Which of the following vary with time for t > 0?  

I. < S z >

II. < H > (Hamiltonian)

III. P ↑ z (Probability the particle will be found in ∣ ↑ > z)

IV. P ↑ y (Probability the particle will be found in ∣ ↑ > y )

Solutions

Expert Solution

Option IV is correct. The probability of finding the particle in up state of y direction is time dependent. The reson is elaborated in the following pictures:

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

Consider the one dimensional model of one-particle-in-a-box. Under what condition the two quantum levels are orthogonal....
Consider the one dimensional model of one-particle-in-a-box. Under what condition the two quantum levels are orthogonal. Namely, find the relation between m and n so that < m | n > = 0
give an example of pure rolling ,which is combination of two linear motion,with an example???explain answer...
give an example of pure rolling ,which is combination of two linear motion,with an example???explain answer with daigrammm i posted it twice,dont give answer untill u r not sure..
You have set up an experiment where two Stern-Gerlach analyzers sequentially measure spin along the z-axis....
You have set up an experiment where two Stern-Gerlach analyzers sequentially measure spin along the z-axis. The first analyzer allows particles with spin up along z to pass. The second analyzer allows particles with spin down along z to pass. Between the two analyzers is a magnetic field aligned along +x. Your experiment sends identical spin-1/2 particles at speed v along the y-axis through the analyzers, which are separated by a distance Δy. What is the smallest distance Δy that...
Suppose America is able to produce up to 100,000 computers/year or 50,000 TVs/year or any linear combination of the two.
Suppose America is able to produce up to 100,000 computers/year or 50,000 TVs/year or any linear combination of the two. Japan is able to produce up to 80,000 computers/year or 160,000 TVs/year or any linear combination of the two. Assume that without trade, each country spends half of their efforts on each good.Which country has the absolute advantage in each good?   A. America has the absolute advantage in both computers and TVs.   B. Japan has the absolute advantage...
October 1993 Marriott Corporation announced plans to divide its operations into two separate businesses (spin off...
October 1993 Marriott Corporation announced plans to divide its operations into two separate businesses (spin off of hotel mgt’ business) – Marriott International: manage Marriott’s hotel chain and receive most of the revenue – Host Marriott: own all the company’s real estate and be responsible for servicing essentially all of the old company’s $3 billion of debt What will happen to Marriott’s stock price and bond price after this announcement?
Two-Sample Z-test Q1. A researcher is interested in comparing the happiness scores of married and single...
Two-Sample Z-test Q1. A researcher is interested in comparing the happiness scores of married and single men. The data is below: Married Men: average happiness rating = 8.7; standard deviation = 1.4; n =100 Single Men: average happiness rating = 7.9; standard deviation = 1.2; n =80 Test whether the difference between the means of the two groups is significant at an alpha (significance level) of .10. (a) What are the null and alternate hypotheses? (b) Draw the picture of...
A particle of rest energy 800 MeV decays in its rest frame into two identical particles...
A particle of rest energy 800 MeV decays in its rest frame into two identical particles of rest energy 250 MeV. What are the kinetic energies (in MeV), momenta (in MeV/c), and velocities (in units of c) of the daughter particles? Refer to the previous problem. The parent particle moves in the lab with kinetic energy 800 MeV, and one daughter particle is emitted along the parent’s direction of motion. Find the lab kinetic energy (in MeV) for the daughter...
7. A particle of rest energy 800 MeV decays in its rest frame into two identical...
7. A particle of rest energy 800 MeV decays in its rest frame into two identical particles of rest energy 250 MeV. What are the kinetic energies (in MeV), momenta (in MeV/c), and velocities (in units of c) of the daughter particles?
Dowell Company produces a single product. Its income statements under absorption costing for its first two...
Dowell Company produces a single product. Its income statements under absorption costing for its first two years of operation follow. 2018 2019 Sales ($46 per unit) $ 1,012,000 $ 1,932,000 Cost of goods sold ($31 per unit) 682,000 1,302,000 Gross margin 330,000 630,000 Selling and administrative expenses 289,500 334,500 Net income $ 40,500 $ 295,500 Additional Information Sales and production data for these first two years follow. 2018 2019 Units produced 32,000 32,000 Units sold 22,000 42,000 Variable cost per...
Dowell Company produces a single product. Its income statements under absorption costing for its first two...
Dowell Company produces a single product. Its income statements under absorption costing for its first two years of operation follow. 2016 2017 Sales ($46 per unit) $ 1,150,000 $ 2,070,000 Cost of goods sold ($31 per unit) 775,000 1,395,000 Gross margin 375,000 675,000 Selling and administrative expenses 288,750 323,750 Net income $ 86,250 $ 351,250 Additional Information Sales and production data for these first two years follow. 2016 2017 Units produced 35,000 35,000 Units sold 25,000 45,000 Variable cost per...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT