宏观力学与二体问题
Macromechanics and two-body problems
摘要:
一个波函数可以写成ε = Reis/h的形式。我们将这种形式的波函数代入量子力学方程组中,并取流体力学极限,即.例如,设普朗克常量为零。然后,运动方程(EOM)描述宏观物体的运动检索。从薛定谔方程出发,得到牛顿力学,包括牛顿三大运动定律;从具有正动能(PKE)的解耦Klein-Gordon方程出发,得到经典力学中狭义相对论的EOM。这些是用于PKE系统的。从负动能(NKE)薛定谔方程和解耦的Klein-Gordon方程出发,导出了描述宏观暗天体低动量相对论运动的EOM。这些都是NKE系统,我。例如,黑暗系统在所有情况下,标量和矢量势也被考虑在内。所得到的形式体系统称为宏观力学。对于含有PKE和NKE体的孤立系,总动量和总动能都是守恒的。揭示了暗理想气体产生负压的微观机理。两体问题,其中至少有一个是NKE,研究宏观机构和微观粒子。一个NKE质子和一个PKE电子可以组成一个稳定的PKE原子,其谱线与氢原子相比有蓝移。作者建议在天体光谱中寻找这些谱线。这为寻找太空中的暗粒子提供了一种方法。研究了物体与暗物体之间的弹性碰撞。
英文摘要:
A wave function can be written in the form of ψ = ReiS/h. We put this form of wave function into quantum mechanics equations and take hydrodynamic limit, i. e., let Planck constant be zero. Then equations of motion (EOM) describing the movement of macroscopic bodies are retrieved. From Schrodinger equation, we obtain Newtonian mechanics, including Newtons three laws of motion; from decouple Klein-Gordon equation with positive kinetic energy (PKE), we obtain EOM of special relativity in classical mechanics. These are for PKE systems. From negative kinetic energy (NKE) Schrodinger equation and decoupled Klein-Gordon equation, the EOM describing low momentum and relativistic motions of macroscopic dark bodies are derived. These are NKE systems, i. e., dark systems. In all cases scalar and vector potentials are also taken into account. The formalism obtained is collectively called macromechanics. For an isolated system containing PKE and NKE bodies, both total momentum and total kinetic energy are conserved. A dark ideal gas produces a negative pressure, and its microscopic mechanism is disclosed. Two-body problems, where at least one is of NKE, are investigated for both macroscopic bodies and microscopic particles. A NKE proton and a PKE electron can compose a stable PKE atom, and its spectral lines have blue shifts compared to a hydrogen atom. The author suggests to seek for these spectral lines in celestial spectra. This provides a way to seek for dark particles in space. Elastic collisions between a body and a dark body are researched.
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