Khalfin定理与中性介子子系统
Khalfin's Theorem and neutral mesons subsystem
摘要：
分析了中性介子复合体中Khalfin定理的证明。讨论了该定理的后果：使用该定理我们发现，例如，如果CPT对称性成立而CP对称性被破坏，则中性介子复合体的精确有效哈密顿量的对角矩阵元不可能相等。本文研究了与时间无关的有效哈密顿量作用于中性介子态子空间的时间演化性质。利用Khalfin定理，我们证明了如果这种哈密顿量是与时间无关的，那么含中性介子复合体的整个系统的演化算符就不可能是幺正算符。在一个特定的模型，我们研究数值的Khalfin定理。我们展示了这个模型中的图形形式如何Khalfin定理的作品。我们还表明，对于这个模型，所提到的有效哈密顿量的对角矩阵元素的差异如何随时间变化。
英文摘要：
We analyze the proof of the Khalfin Theorem for neutral meson complex. The consequences of this Theorem are discussed: using this Theorem we find, eg., that diagonal matrix elements of the exact effective Hamiltonian for the neutral meson complex can not be equal if CPT symmetry holds and CP symmetry is violated. The Properties of time evolution governed by a time--independent effective Hamiltonian acting in the neutral mesons subspace of states are considered. By means of the Khalfin's Theorem we show that if such Hamiltonian is time--independent then the evolution operator for the total system containing neutral meson complex can not be a unitary operator. Within a given specific model we examine numerically the Khalfin's Theorem. We show for this model in a graphic form how the Khalfin's Theorem works. We also show for this model how the difference of the mentioned diagonal matrix elements of the effective Hamiltonian varies in time.
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