有关A-B效应和相位问题及量子绝热定理成立条件——三答李华钟教授的评述

On the quantum phase factor and quantum adiabatic theorem——Reply to the comment by H.Z.Li

对《Aharonov-Bohm效应和量子力学相位概念的一些问题———评曾谨言著〈量子力学〉卷Ⅱ第六次印刷第四章的物理概念》一文中有关A-B效应和相位问题的评述,按真实情况给予了说明.论证了把R t→0作为量子绝热定理成立条件,不能说明“对于能级简并态,量子绝热定理不成立”,且在一些情况下会导致不正确的结论.

The comments on the quantum phase factor and quantum adiabatic theorem by H. Z. Li are shown to be inconsistent with the real-world cases and thus incorrect. It is shown that the condition R/ t→0 cannot account for ＂why the quantum adiabatic theorem does not hold for the energy degenerate case＂ ,and can lead to the erroneous statement that ＂the wave function without the adiabatic phase factor satisfies the time-dependent Schroedinger equation＂.