Extension of KMS states and angular momentum
Guy Loupias, M. Mebkhout
We present a description of β-KMS equilibrium states with respect to some one-parameter subgroup of (T×R3) ⧠K, over an asymptotically Abelian algebra of observables (here T×R3 is the group of time and space translations and K a compact group acting on R3). In the case where K=SO(3), the group of space rotations, we get a characterization of the angular momentum of such states as a parameter occurring in their description, similar to the chemical potential, and classify all of them according to their invariance group, a closed subgroup of T×R×SO(2).
Journal of Mathematical Physics•Jun 1, 1979•1 citation