Bissoy.com
Doctors Medicines MCQs Q&A

How is the total angular momentum of a system J described in terms of spin angular momentum S and orbital angular momentum L?

How is the total angular momentum of a system J described in terms of spin angular momentum S and orbital angular momentum L? Correct Answer J = L+S

Total angular momentum is just a vector sum of spin angular momentum and orbital angular momentum. This leads to a phenomenon called spin-orbit coupling that contributes to the total Hamiltonian of a system. In this case, total angular momentum of the atomic system is described in this way.

Related Questions

For a multi-electron atom $$l$$, L and S specify the one electron orbital angular momentum, total orbital angular momentum and total spin angular momentum respectively. The selection rules for electric dipole transition between the two electronic energy levels, specified by $$l$$, L and S are
Deuteron in its ground state has a total angular momentum J = 1 and a positive parity. The corresponding orbital angular momentum L and spin angular momentum S combinations are
Which of the following statements concerning the quantum numbers is correct? (i) The Angular quantum number determines the three-dimensional shape of the orbital. (ii) The Principal quantum number determines the orientation and energy of the orbital. (iii) The Magnetic quantum number determines the size of the orbital. (iv) Spin quantum number of an electron determines the orientation of the spin of the electron relative to the chosen axis.
The disc is spinning with angular velocity ω  rad/sec about the axis of spin. The couple applied to the disc causing precision will be : where ωp = angular velocity of precision of axis of spin and  I = mass momentum inertia of disc.  
An atom with one outer electron having orbital angular momentum $$l$$ is placed in a weak magnetic field. The number of energy levels into which the higher total angular momentum state splits, is
If an atom is in the 3d3 state, the angle between its orbital and spin angular momentum vectors ($$\overrightarrow {\bf{L}} $$ and $$\overrightarrow {\bf{S}} $$) is
A disc is a spinning with an angular velocity $$\omega $$ rad/s about the axis of spin. The couple applied to the disc causing precession will be (where $$I$$ = Mass moment of inertia of the disc and $$\omega {\text{P}}$$  = Angular velocity of precession of the axis of spin)
A disc is spinning with an angular velocity w rad/s about the axis of spin. The couple applied to the disc causing precession will be: (where I = Mass moment of inertia of the disc, and wP = Angular velocity of precession of the axis of spin)
What is the difference in energy between two spin angular momentum states of a hydrogen atom in a 1s orbital, experiencing a magnetic field of 1 Tesla?
In a two-electron atomic system having orbital and spin angular momenta $${l_1}{l_2}$$  and $${s_1}{s_2}$$  respectively, the coupling strengths are defined as $${\Gamma _{{l_1}{l_2}}},\,{\Gamma _{{s_1}{s_2}}},\,{\Gamma _{{l_1}{s_1}}},\,{\Gamma _{{l_2}{s_2}}},\,{\Gamma _{{l_1}{l_2}}}$$      and $${\Gamma _{{l_2}{s_1}}}.$$  For the jj coupling. scheme to be applicable, the coupling strengths must satisfy the condition