total angular momentum Definition and 65 Threads

  1. A

    What's the total angular momentum operator for a system of two particles?

    Suppose we're in two dimensions, and both particles have mass 1. Particle 1's location is given by its polar coordinates (r_1,\theta_1); likewise for Particle 2 (r_2,\theta_2). Is it true that the total angular momentum \vec{L} is just the sum of the individual angular momenta of the...
  2. W

    Total angular momentum of N identical bosons

    assume that we have N spin-1 bosons all on the same spatial orbit. The problem is that what values the total angular momentum can be? I am puzzled by this problem for a long time maybe a bit permutation group theory is needed? i guess this type of problem is well solved Is there...
  3. W

    Total angular momentum of N identical bosons

    assume that we have N spin-1 bosons all on the same spatial orbit. The problem is that what values the total angular momentum can be? I am puzzled by this problem for a long time maybe a bit permutation group theory is needed? i guess this type of problem is well solved Is there...
  4. B

    Calculate the magnitude of the total angular momentum of the woman

    Question: A woman with a mass of 55.0 is standing on the rim of a large disk that is rotating at an angular velocity of 0.550 about an axis through its center. The disk has a mass of 106 and a radius of 4.10 . a.)Calculate the magnitude of the total angular momentum of the...
  5. B

    Quantum Mechanics: total angular momentum of an electron in a hydrogen atom

    An electron in a hydrogen atom occupies the combined position and spin state. \Psi\left(\vec{r},\xi\right)=\left(\sqrt{1/3}Y^{1}_{0}\xi_{+}+\sqrt{2/3}Y^{1}_{1}\xi_{-}\right) What are the possible measured values of J^{2} (where J is the total angular momentum of the electron L + S) and...
  6. D

    Total angular momentum of hands of Big Ben

    Hello I just can't seem to get this problem right Homework Statement The hour and minute hands of Big Ben in London are 2.6 m and 4.58 m long and have masses of 68.6 kg and 97 kg respectively. Calculate the total angular momentum of the minute and hour hand about the center point. Treat...
  7. L

    How Do You Calculate Total Angular Momentum for Electron Configurations?

    lets say there is an electron configuraiton of 1s^2 2s^2 2p^2 3p^1 I want to find the total angular momentum quantum number, J=L+S considering the n=1 state, there are two electrons, in the s shell which means one is spin 1/2 and the other is spin -1/2 giving a total spin of 0. The s shell...
  8. L

    Total angular momentum quantum number

    lets say there is an electron configuraiton of 1s^2 2s^2 2p^2 3p^1 I want to find the total angular momentum quantum number, J=L+S considering the n=1 state, there are two electrons, in the s shell which means one is spin 1/2 and the other is spin -1/2 giving a total spin of 0. The s shell...
  9. A

    Total Angular Momentum of Many Particles

    Hi, How does one find the s=0 state for the addition of the spin of 4 (for example) electrons? More generally, how does one obtain the total spin of 4 electrons? I understand that for 2 electrons one can read the s=1 and s=0 states from a table of Clebsch-Gordan coefficients.
  10. C

    How Is the Total Angular Momentum of a Rotating Dumbbell Calculated?

    Homework Statement A dumbbell consists of two small balls attached to the ends of a 1.0m rod of negligible mass. Ball1 has a mass of 1.0kg and ball2 has a mass of 3.0kg. The dumbbell rotates about a fixed vertical axis midway between the balls, with an angular speed of 1/pi rev/s. What is the...
  11. J

    Simple question about total angular momentum in an atom

    Homework Statement Consider the 6g state of an electron in a hydrogen atom. Enter the smallest possible value of the total angular momentum quantum number. Homework Equations hund's rules: 1. the total spin angular momentum S should be maximized to the extent possible without...
  12. E

    Why Is the Total Angular Momentum of a Particle System Constant?

    hey everyone, I've been working through a past paper and I'm stuck on a question: "(a) Consider a system consisting of n distinct particles P1, P2, : : :, Pn, with masses m1, m2, ..., mn and position vectors r1, r2, : : :, rn, relative to the origin O of an inertial frame, respectively...
  13. P

    What is the component of the total angular momentum along the axle?

    Two lightweight rods d = 23 cm are mounted perpendicular to an axle and at 180° to each other. (Fig. 11-24). At the end of each rod is a 700 g mass. The rods are spaced 40 cm apart along the axle. The axle rotates at 41 rad/s. http://www.geocities.com/sinceury/11-24alt.gif (a) What is...
  14. C

    Why Does My Calculation of Big Ben's Angular Momentum Keep Going Wrong?

    This is a problem that seemed easy to me. I keep recalculating the answer, and I keep getting it wrong. I'm not sure if I'm approaching the problem incorrectly, or if I'm just making some small dumb mistake. Here's the question: Big Ben (see the figure below), the Parliament Building...
  15. S

    Eigenvalues of total angular momentum

    Who knows the formula to calculate the eigenvalues of total angular momentum between two different states? In particular, what is the matrix element of <S, L, J, M_J | J^2 | S', L', J', M'_J> ? Thank's...
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