Paths of zeros of analytic functions of finite quantum systems using various types of matrices

Research & Reviews: Journal of Pure and Applied Physics

article

Evangelides P¹  Talias M² 

[1] Czech Technical University;Open University of Cyprus

关键词: Harmonic oscillator;    Quantum system;    Logarithmic functions;   

来源: Research & Reviews

【 摘 要 】

We consider quantum systems in d dimensional Hilbert space using a computational approach. We focus on a specific analytic representation in a cell S which describes the finite quantum system. The time evolution of the system produces d paths of zeros. The central notion is to restrict our attention to matrices such as: Vandermonde and Banded instead of any periodic Hamiltonian matrix. In particular we provide numerical examples of interesting closed paths of the zeros. In this paper we use an efficient numerical approach to generate the paths of zeros based on specific categories of matrices.

【 授权许可】

Unknown