| Abstract: | Quantum systems of particles interacting via an effective electromagnetic potential with zero electrostatic component are
considered (magnetic interaction). It is assumed that the j th component of the effective potential for n particles equals the partial derivative with respect to the coordinate of the jth particle of “magnetic potential energy” of n particles almost everywhere. The reduced density matrices for small values of the activity are computed in the thermodynamic
limit for d-dimensional systems with short-range pair magnetic potentials and for one-dimensional systems with long-range pair magnetic
interaction, which is an analog of the interaction of three-dimensional Chern-Simons electrodynamics (“magnetic potential
energy” coincides with the one-dimensional Coulomb (electrostatic) potential energy).
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 49, No.
5, pp. 691–698, May 1997. |
