Register to reply

Spin-orbit coupling

by Tianyou
Tags: coupling, spinorbit
Share this thread:
Tianyou
#1
Apr10-14, 10:23 PM
P: 4
Hello,
I see a Hamiltonian of spin-orbit coupling, it is like this
H=[itex]\frac{1}{2m} \sum_{\alpha} \left( \left( -\partial_{\alpha}^2 - 2i\kappa_{\alpha} \sigma_{\alpha} \partial_{\alpha} \right) + \kappa_{\alpha}^2\right)[/itex]

Here [itex]\hbar = 1. \kappa_{\alpha} [/itex] is the strength of spin-orbit coupling, and [itex] \sigma_{\alpha} (\alpha = x, y, z)[/itex] are Pauli matrices.
Can someone explain to me where this hamiltonian comes from? What is the meaning of each term?
Thank you.
Phys.Org News Partner Physics news on Phys.org
Researchers study gallium to design adjustable electronic components
Gadolinium-based material that can be cooled by varying magnetic field
Experiments explain why some liquids are 'fragile' and others are 'strong'
DrDu
#2
Apr11-14, 10:34 AM
Sci Advisor
P: 3,593
Where did you see it?
Tianyou
#3
Apr13-14, 09:52 PM
P: 4
I saw this hamiltonian in an article in arXiv titled "Enhancement of condensate depletion due to spin-orbit coupling".

DrDu
#4
Apr14-14, 01:44 AM
Sci Advisor
P: 3,593
Spin-orbit coupling

Next time, it would be kind of you to give either a link or at least a full reference for an article.
The hamiltonian in that article does not coincide completely with the one of your first post.
However, I don't know where it comes from. Did you check the articles they are citing?
To me, it looks rather dubious. Spin 1/2 for bosons? Certainly not as general as they claim it to be.
Tianyou
#5
Apr14-14, 09:13 PM
P: 4
I am confused for the Spin 1/2 for the bosons before. I checked it and found that in this system there is a pseudo Spin 1/2 states for the bosons.


Register to reply

Related Discussions
Spin orbit coupling Quantum Physics 1
Spin orbit coupling Quantum Physics 1
Spin-Orbit Coupling Quantum Physics 1
Spin orbit coupling Advanced Physics Homework 1
Spin Orbit Coupling. Advanced Physics Homework 6