Paths of zeros of analytic functions describing finite quantum systems

作者：Eissa H; Evangelides P; Lei C; Vourdas A^*

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2016, 380(4): 548-553.

DOI：10.1016/j.physleta.2015.11.032

• Analytic representations
• Finite quantum systems
• Zeros of analytic functions

Quantum systems with positions and momenta in 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.

• 出版日期2016-2-5