论文标题
关于量子操作员形式主义的物理起源
On the physical origin of the quantum operator formalism
论文作者
论文摘要
我们通过重新审视真空场在量子力学中的作用，为量子操作员形式主义的出现提供明确的物理解释。先前使用随机电动力学工具显示了真空或随机的零点辐射场，这是允许粒子受到保守结合力的粒子以达到固定运动状态的核心。在这里，我们专注于固定状态，并将真空的作用视为驱动力。我们观察到粒子对某些场模式有共识。对这一响应的适当分析使我们能够通过在X和P的响应系数与相应的矩阵元素之间建立一对一的对应关系来明确地追踪基本量子换向器的起源。 （随机的）驱动场变量因此从描述中消失了，但是他们的哈密顿特性在操作员形式上体现。 Heisenberg方程建立了响应函数之间的动态关系。
We offer a clear physical explanation for the emergence of the quantum operator formalism, by revisiting the role of the vacuum field in quantum mechanics. The vacuum or random zero-point radiation field has been shown previously, using the tools of stochastic electrodynamics, to be central in allowing a particle subject to a conservative binding force to reach a stationary state of motion. Here we focus on the stationary states, and consider the role of the vacuum as a driving force. We observe that the particle responds resonantly to certain field modes. A proper Hamiltonian analysis of this response allows us to unequivocally trace the origin of the basic quantum commutator, by establishing a one-to-one correspondence between the response coefficients of x and p and the respective matrix elements. The (random) driving field variables disappear thus from the description, but their Hamiltonian properties become embodied in the operator formalism. The Heisenberg equations establish the dynamical relationship between the response functions.
