Table 1 Definition of various symbols used in the text
\({\hat{R}}_{i}^{a}\) | Guiding center operator |
\({\hat{\rho }}_{{{{{{{{\bf{q}}}}}}}}}\) | Guiding center density operator |
\(\delta {\bar{\rho }}_{{{{{{{{\bf{q}}}}}}}}}\) | Regularized guiding center density operator |
\({\hat{\pi }}_{ia}\) | Dynamical momentum operator |
\({\bar{g}}^{ab}\) | Guiding center metric |
\({\tilde{g}}^{ab}\) | Cyclotron metric |
\({g}_{\alpha }^{ab}\) | Guiding center metric of CHS \({{{{{{{{\mathcal{H}}}}}}}}}_{\alpha }\) |
Sq | Regularized guiding center structure factor |
\({\hat{V}}_{\alpha }^{k{{{{{{{\rm{bdy}}}}}}}}}\) | k-body pseudopotential |
\({\hat{{{{{{{{\mathcal{V}}}}}}}}}}_{\alpha }^{k{{{{{{{\rm{bdy}}}}}}}}}\) | Model Hamiltonian defined by \(\mathop{\sum }\nolimits_{i=1}^{\alpha }{\lambda }_{i}{\hat{V}}_{i}^{k{{{{{{{\rm{bdy}}}}}}}}}\) |
\({{{{{{{{\mathcal{H}}}}}}}}}_{\alpha }^{k{{{{{{{\rm{bdy}}}}}}}}}\) | CHS determined by \({\hat{{{{{{{{\mathcal{V}}}}}}}}}}_{\alpha }^{k{{{{{{{\rm{bdy}}}}}}}}}\) |