现实从最大限度地重叠在未来-包括理论
Reality from maximizing overlap in the future-included theories
摘要：
在包含未来的复作用量和实作用量理论中，我们简要地回顾了关于算子$\hat{\cal O}$的正规化矩阵元的定理，该算子是用具有适当内积的未来和过去状态来定义的，该内积$I_Q$使给定的哈密顿量正规化。该定理指出，假设算子$\hat{\cal O}$是$Q$ -厄米算符，即关于适当内积$I_Q$的厄米算符，则归一化矩阵元变为实数，并且在用于选择的过去和未来状态的$Q$ -厄米算符哈密尔顿算子下时间展开，使得从过去状态到未来状态的跃迁幅度的绝对值最大化。讨论了该定理的含义，我们推测，未来的复作用量理论将是最优雅的量子理论。
英文摘要：
In the future-included complex and real action theories whose paths run over not only the past but also the future, we briefly review the theorem on the normalized matrix element of an operator $\hat{\cal O}$, which is defined in terms of the future and past states with a proper inner product $I_Q$ that makes a given Hamiltonian normal. The theorem states that, provided that the operator $\hat{\cal O}$ is $Q$-Hermitian, i.e. Hermitian with regard to the proper inner product $I_Q$, the normalized matrix element becomes real and time-develops under a $Q$-Hermitian Hamiltonian for the past and future states selected such that the absolute value of the transition amplitude from the past state to the future state is maximized. Discussing what the theorem implicates, we speculate that the future-included complex action theory would be the most elegant quantum theory.
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