关于核磁共振系统两类A-A相的计算

Calculation on Two Types of A-A Phase in NMR System

从求解核磁共振系统Schr dinger方程的一般解出发 ,得到核磁共振系统产生A -A相的cyclic条件和循环初态条件。cyclic条件要求系统的频率只能取离散的序列而初态可以是任意的 ;循环初态条件要求对系统的初态作一定的限定而系统的频率可以是任意的。在此基础上计算出系统在满足cyclic条件和循环初态条件时产生的A -A相 ,在cyclic条件下 ,系统产生的A -A相是依赖于初态和大于 1的自然数的离散序列 ;在循环初态的条件下 ,系统产生的A -A相仅依赖于频率。证明了在绝热极限下 ,从这两类A

With solving the general solution of the Schrdinger equation in the nuclear magnetic resonance (NMR) system, two conditions, cyclic condition and cycle initial state condition, are found on which the A-A phase can be produced in NMR system. In this way the A-A phase is worked out with the result that the NMR system's A-A phase in cyclic condition depends on the initial state and the natural number above one while in cycle initial state condition it only depends on the frequency. It proves that the Berry phase can be strictly obtained through the two types of A-A phase as adiabatic limit.