关节在时间上双向运动的薛定谔方程
Schroedinger equation for joint bidirectional motion in time
摘要：
传统的、依赖于时间的薛定谔方程仅描述了物理系统的状态的单向时间演化，即，向前或向后，不太常见。本文提出了一种广义量子动力学来描述物理系统中联合的、相互作用的、向前的和向后的时间演化。[...]研究了三种应用：（1）根据微扰论的碰撞的形式理论;（2）运动学上包括两个量子化实标量场的直和的系统的相对论不变的量子场论，使得一个场在时间上向前演化，另一个场向后演化，并且使得子场之间存在动力学耦合;（3）在后一种场论中，动力学预言在耦合常数的值的范围内，宇宙真空能量的期望值被强制为零，达到高精度。[...]
英文摘要：
The conventional, time-dependent Schroedinger equation describes only unidirectional time evolution of the state of a physical system, i.e., forward or, less commonly, backward. This paper proposes a generalized quantum dynamics for the description of joint, and interactive, forward and backward time evolution within a physical system. [...] Three applications are studied: (1) a formal theory of collisions in terms of perturbation theory; (2) a relativistically invariant quantum field theory for a system that kinematically comprises the direct sum of two quantized real scalar fields, such that one field evolves forward and the other backward in time, and such that there is dynamical coupling between the subfields; (3) an argument that in the latter field theory, the dynamics predicts that in a range of values of the coupling constants, the expectation value of the vacuum energy of the universe is forced to be zero to high accuracy. [...]
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