论文标题
电磁真空的作用在从经典到量子力学的过渡中
Role of the electromagnetic vacuum in the transition from classical to quantum mechanics
论文作者
论文摘要
我们重新审视受随机零点辐射场（ZPF）约束的，带电的粒子的非派别性问题，目的是揭示从最初的经典描述到最终量子力学的机制。 ZPF和辐射反作用力的综合作用在特征性的时间段后，在初始条件的丧失以及动力学向田间控制的固定态度的不可逆转过渡中产生。在此制度中，规范变量x，p以偶极响应函数为一组场模式表示。正常对响应系数的正确排序导致量子力学的基质表示，如理论的早期所提出的，以及基本的换向器\ weft [\ hat {x}，\ hat {p} \ right] = i \ hbar。此外，与Markov近似中有效的相应fokker-Planck方程的连接允许获得QED的（非递归）辐射校正。这些结果重申了量子现象的基本电动力和随机性，如随机电动力学所提出的那样。
We revisit the nonrelativistic problem of a bound, charged particle subject to the random zero-point radiation field (ZPF), with the purpose of revealing the mechanism that takes it from the initially classical description to the final quantum-mechanical one. The combined effect of the ZPF and the radiation reaction force results, after a characteristic time lapse, in the loss of the initial conditions and the concomitant irreversible transition of the dynamics to a stationary regime controlled by the field. In this regime, the canonical variables x,p become expressed in terms of the dipolar response functions to a set of field modes. A proper ordering of the response coefficients leads to the matrix representation of quantum mechanics, as was proposed in the early days of the theory, and to the basic commutator \left[\hat{x},\hat{p}\right]=i\hbar. Further, the connection with the corresponding Fokker-Planck equation valid in the Markov approximation, allows to obtain the (nonrelativistic) radiative corrections of QED. These results reaffirm the essentially electrodynamic and stochastic nature of the quantum phenomenon, as proposed by stochastic electrodynamics.
