The hydrodynamic formulation of quantum mechanics is extended to include further densities known in hydrodynamics and their time-evolution.

The equations of motion of the complex Bohmian quantities in position space are used to obtain transport equations for complex momentum and energy densities that can be unified with the continuity equation. Separation into real and imaginary parts leads to hydrodynamic equations known in the literature. The same procedure is repeated in momentum space. Finally, the transition from transport equations describing local densities to Euler equations in a frame co-moving with the convection velocity is made.

中文翻译：

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复杂量的量子流体力学

量子力学的流体力学公式扩展到包括流体力学及其时间演化中已知的其他密度。

位置空间中的复Bohmian量的运动方程用于获得可与连续性方程统一的复动量和能量密度的输运方程。分离成实部和虚部会产生文献中已知的流体动力学方程。在动量空间中重复相同的过程。最后，在与对流速度共同运动的框架中，从描述局部密度的输运方程过渡到欧拉方程。