Quantum Geometry Effects And The Geometric Phase Of The Teaching And Research

In all quantum mechanics system, quantum geometric effect and geometric phase hold a very important role. Firstly, several familiar quantum geometric effects and the discovery processing and current states of geometric phase are introduced in this paper.No other than a time-contained Hamiltonian can exactly describe a real physical system or physical course. So it is a quite interesting theme all along. Problem of two states system is so simple and so element that it is especially important to solving it. In this paper we discussed the evolution of two states system and geometric phase in a rotating magnetic field by using the method of coordinate transformation. By using it, the Hamiltonian is independent of time. That can simplify the problem. Subsequently adiabatic condition about two states system is obtained.We can discuss the evolution of low spin particles in a magnetic field by solving Schrodinger equation directly. But difficulty in maths will come forth when meeting high spin particles if we using such method. On base of the characteristic of energy space, we obtained the wavefunctions and geometric phase by the trial function method in this paper. The Berry phase of the system are also obtained after an evolution period. It can simplified the course of calculation. The vital role of quantum phase effect in theoretical investigation and high-new-technology industries are introduced.The universal shortcoming for Chinese pupils are lack of the ability of practice and innovative. Most of students are not interested in quantum geometric effect because it is a nodus. Yet no innovations can be found. At last, I briefly discussed how to cultivate students' creative ability using the ideas of Constructivism during the course of teaching.