The Geometric Phase In Quantum Mechanics And Its Teaching And Research

In recent years, the quantum phase and the related fields with it have attracted considerable attention. Also, it has achieved great progress in theory and experiment. The A-B effect, Berry phase, Aharonov-Anandan phase and experimental testification of the geometric phase are introduced in chapter 2.Many references have been There have already been comprehensive discussions for the geometric phase of spin-1/2 particle under the magnetic filed, However, there only few articles penetrate with discussing the geometric phase of spin-1 particles. In this article, the exact solution and the geometric phase of spin-1 particle have been obtained under the rotating magnetic field by using the rotating frame method. In the rotating frame method, the Hamiltonian is independent of time. It can make the problem to be simple.It should be gained the function of the system to solve the geometric phase by usingformula of Aharonov-Anandan . But the solving progressbecomes so complicated for free-spin particle that it is difficult to solve geometric phase. In chapter 4, we obtained the polarization vector of free-spin particle in the rotating field by using the method of solving Bloch equation. Then we can get the geometric phase easilyunder appointed parameters from formula Geometric phase hold a very important role in quantum. How to make the students have interested in it and make them have strong impressing? How to make them don't afraid and detest the computational progress? For this, from inspiring the students' thought and cultivate the study interesting set out, and join together the research about geometric phase of myself, the thesis depict the cultivation of scientific thought at geometric phase teaching for students in chapter 5.