Open problems on zeros of analytic functions in finite quantum systems

Date

2013-4

Type

Conference paper

Conference title

World Academy of Science, Engineering and Technology

Author(s)

Muna Tabuni

Abstract

Abstract—The paper contains an investigation on basic problems about the zeros of analytic theta functions. A brief introduction to analytic representation of finite quantum systems is given. The zeros of this function and there evolution time are discussed. Two open problems are introduced. The first problem discusses the cases when the zeros follow the same path. As the basis change the quantum state |f transforms into different quantum state. The second problem is to define a map between two toruses where the domain