Semiclassical Density of States for the Quantum Asymmetric Top

Alfonso F. Agnew, Alain Bourget

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…