Question

Given S 1 = 2 and S 2 = 2, write the state | 3 , 1 > representing a state of the total system S 1 + S 2. If you measure the z component of the angular momentum of the S 2 particle, what values might you get, and what is the probability for each value?

Answer #1

What is the angular momentum of a particle in the l = 5 state?
What are the allowed values of the z component of the angular
momentum? Sketch the possibilities.

How do I solve this?
Given a free electron. The Z-component of the electron's spin
angular momentum is +ℏ/2 at some initial time t=0. The electron's
spin is then measured at three different times, t=1 s, t=2 s, t=3 s
respectively. The x-component of the spin is measured at t=1, and
the y-component is measured at t=2. FInally, the z-component is
measured at t=3.
What is the probability to measure the value −ℏ/2 at time t=1
seconds? What is the...

A hydrogen atom stays in the 3rd excited state (n = 4). Consider
of the quantum behavior of the electron, but ignore the quantum
behavior of the nucleus. (a) What are the possible values for the
quantum number l and what are the corresponding orbitals? Write
down the magnitude of each orbital angular momentum (in units of
ħ). (b) For each value of l, what are possible values for the
quantum number ml and the magnitude of the z component...

At time t = 4 sec, a particle of mass M = 4.5 kg is at
the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s.
1)What is the
x component of the particle's angular momentum about the
origin?
2)What is the y component of the particle's angular
momentum about the origin?
3)What is the
z component of the particle's angular momentum about the
origin?
4)Now an identical
particle is placed at (x,y,z) = (-4,-4,-6) m, with
velocity (-2,-1,2)...

At time t = 11.5 sec, a particle of mass M = 5 kg is at
the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s.
1) What is the x component of the particle's angular
momentum about the origin?
2) What is the y component of the particle's angular
momentum about the origin?
3) What is the z component of the particle's angular
momentum about the origin?
4) Now an identical particle is placed at (x,y,z) =
(-4,-4,-6)...

Consider a particle whose wave function is given by
?(?,?,?)=??/?2
(a ) Calculate ?2?(?,?,?) and
???(?,?,?).
(b ) If a measurement of the z-component of the angular momentum
is performed, what is the probability of measuring the value ℏ.
HINT: You may freely use results from Ch. 5 in N. Zettili’s
book, including results from the solved problems. Simply quote
exactly which result you are using each time.
L2 is it L squared.. r2 is it r squared?
yes

The values for the total angular momentum of single electrons
are
5/2, 7/2
3/2, 5/2
1/2, 3/2
0, 1/2
2 Possible values for the total angular momentum quantum number
of a single f-electron system are
J = 7/2, 5/2
J = ±3,2,2,0
J = ±7/2, ±5/2
J = None of these
The values for the total angular momentum of single electrons
are
5/2, 7/2
3/2, 5/2
1/2, 3/2
0, 1/2
Answer:
Possible values for the total angular momentum quantum number...

An electron in a hydrogen atom is in a state with n = 3.Find the
orbital angular momentum and z component of the orbital
angular momentum for each possible value of ℓ and m for
the electron. (Use the following as necessary: ℏ. Enter your
answers as comma-separated lists. Give exact answers. Do not
round.)
L =
Lz =

A system consists of two particles, each of which has a spin of
3/2. a) Assuming the particles to be distinguishable, what are the
macrostates of the z component of the total spin, and what is the
multiplicity of each? b) What are the possible values of the total
spin S and what is the multiplicity of each value? Verify that the
total multiplicity matches that of part (a). c) Now suppose the
particles behave like indistinguishable quantum particles. What...

A particle moves in a circle of radius r=1 m, with a constant
speed of v=0.5m/s.
1. What is the period?
2. What is the frequency?
3. What is the angular frequency
4. How does θ change in time
5. Write equation for the X component of the particle.

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