论文标题
BOHM电势的协变非本地相位场模型
A covariant non-local phase field model of Bohm's potential
论文作者
论文摘要
假设气体的能量非局部取决于其质量密度的对数，则运动方程中的体力由密度梯度项之和组成。 Bohm的量子电势和Madelung方程在第二项之后截断了这一系列，明确表明导致量子力学配方b的某些假设确实接受了基于非局部性的经典解释。在这里，我们将这种方法推广到任何扰动的传播速度有限的速度，从而确定了Madelung方程的协变量。
Assuming that the energy of a gas depends non-locally on the logarithm of its mass density, the body force in the resulting equation of motion consists of the sum of density gradient terms. Truncating this series after the second term, Bohm's quantum potential and the Madelung equations are obtained, showing explicitly that some of the hypotheses that led to the formulationb of quantum mechanics do admit a classical interpretation based on non-locality. Here, we generalize this approach imposing a finite speed of propagation of any perturbation, thus determining a covariant formulation of the Madelung equation.
