Semiclassical Density of States for the Quantum Asymmetric Top

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

In the quantization of a rotating rigid body, a {\it top,} one is concerned with the Hamiltonian operator $L_\alpha=\alpha_0^2 L_x^2 + \alpha_1^2 L_y^2 + \alpha_2^2 L_z^2,$ where $\alpha_0 < \alpha_1 <\alpha_2.$ An explicit formula is known for the eigenvalues of $L_\alpha$ in the case of the spherical top ($\alpha_1 = \alpha_2 = \alpha_3$) and symmetrical top ($\alpha_1 = \alpha_2 \neq \alpha_3$) \cite{LL}. However, for the asymmetrical top, no such explicit expression exists, and the study of the spectrum is much more complex. In this paper, we compute the semiclassical density of states for the eigenvalues of the family of operators $L_\alpha=\alpha_0^2 L_x^2 + \alpha_1^2 L_y^2 + \alpha_2^2 L_z^2$ for any $\alpha_0 < \alpha_1 <\alpha_2$.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Semiclassical Density of States for the Quantum Asymmetric Top does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semiclassical Density of States for the Quantum Asymmetric Top, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical Density of States for the Quantum Asymmetric Top will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-456001

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.