Abstract
Following recent work on the quantum Hall effect on S 4, we solve the Landau problem on the complex projective spaces C P k and discuss quantum Hall states for such spaces. Unlike the case of S 4, a finite spatial density can be obtained with a finite number of internal states for each particle. We treat the case of C P 2 in some detail considering both Abelian and nonAbelian background fields. The wavefunctions are obtained and incompressibility of the Hall states is shown. The case of C P 3 is related to the case of S 4.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
