| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1858992 | Physics Letters A | 2016 | 6 Pages |
•Study of zeros of analytic representations of finite quantum systems.•Time evolution is described with d paths of zeros.•Study of zeros of periodic systems.•Paths of zeros with displacement operators as time evolution operators.
Quantum systems with positions and momenta in Z(d)Z(d) are described by the d zeros of analytic functions on a torus. The d paths of these zeros on the torus describe the time evolution of the system. A semi-analytic method for the calculation of these paths of the zeros is discussed. Detailed analysis of the paths for periodic systems is presented. A periodic system which has the displacement operator to a real power t, as time evolution operator, is studied. Several numerical examples, which elucidate these ideas, are presented.
