reduced mass

简明释义

折合质量

英英释义

例句

1.The reduced mass (约简质量) is crucial in orbital mechanics when analyzing the motion of celestial bodies.

在轨道力学中，约简质量 (reduced mass) 对于分析天体的运动至关重要。

2.The formula for reduced mass (约简质量) is derived from the masses of the two objects involved in the interaction.

约简质量 (reduced mass) 的公式是从参与相互作用的两个物体的质量推导而来的。

3.In quantum mechanics, the reduced mass (约简质量) is used to simplify the Schrödinger equation for systems with two particles.

在量子力学中，约简质量 (reduced mass) 用于简化具有两个粒子的薛定谔方程。

4.When calculating the vibrational frequencies of a diatomic molecule, we use the reduced mass (约简质量) to find accurate results.

在计算二原子分子的振动频率时，我们使用 约简质量 (reduced mass) 来获得准确结果。

5.In a two-body problem, the concept of reduced mass (约简质量) simplifies the calculations by allowing us to treat the system as a single body.

在双体问题中，约简质量 (reduced mass) 的概念通过允许我们将系统视为一个单一的物体来简化计算。

作文

In the realm of physics, particularly in the study of two-body problems, the concept of reduced mass plays a crucial role. The reduced mass is a useful simplification that allows physicists to analyze the motion of two interacting bodies as if they were a single body with a different mass. This idea is particularly important in fields such as celestial mechanics and quantum mechanics, where understanding the interactions between particles or celestial bodies is essential.To understand the reduced mass, we first need to consider the forces acting on two bodies. When two objects interact, each exerts a force on the other according to Newton's third law of motion. In many cases, it is more convenient to treat these two bodies as a single system rather than dealing with their individual motions separately. The reduced mass allows us to do just that by providing a way to combine the masses of the two bodies into a single effective mass.The formula for calculating the reduced mass is given by:\[ \mu = \frac{m_1 m_2}{m_1 + m_2} \]where \( m_1 \) and \( m_2 \) are the masses of the two bodies. This equation shows that the reduced mass is always less than or equal to the smaller of the two masses. This property of the reduced mass is significant because it ensures that the dynamics of the two-body system can be simplified effectively.One of the most common applications of reduced mass is in orbital mechanics, where it helps in determining the motion of planets and satellites. For instance, when calculating the gravitational interaction between the Earth and the Moon, instead of treating them as two separate entities, we can use their reduced mass to simplify the calculations. This simplification leads to more manageable equations and a clearer understanding of their orbital paths.Another area where reduced mass is vital is in quantum mechanics, particularly in the study of atomic systems. When analyzing the hydrogen atom, for example, we can think of the electron and proton as two bodies interacting through electromagnetic forces. By using the reduced mass of the electron and proton, we can derive the energy levels of the hydrogen atom more easily. This approach not only simplifies the mathematics involved but also provides deeper insights into the behavior of atomic systems.In summary, the concept of reduced mass is fundamental in various branches of physics. It serves as a powerful tool that allows scientists to simplify complex two-body problems into more manageable forms. By understanding the reduced mass, one gains a better grasp of the underlying principles governing the interactions between bodies, whether they are planets in space or particles at the atomic level. Thus, mastering the concept of reduced mass is essential for anyone looking to delve deeper into the fascinating world of physics and its applications.

在物理学领域，特别是在研究两体问题时，reduced mass的概念起着至关重要的作用。reduced mass是一个有用的简化，使得物理学家能够将两个相互作用的物体的运动分析为一个具有不同质量的单一物体。这一理念在天体力学和量子力学等领域尤为重要，因为理解粒子或天体之间的相互作用是至关重要的。要理解reduced mass，我们首先需要考虑作用于两个物体的力。当两个物体相互作用时，每个物体根据牛顿第三运动定律对另一个物体施加力。在许多情况下，将这两个物体视为一个单一系统而不是分别处理它们的个体运动更为方便。通过提供一种将两个物体的质量组合为一个有效质量的方法，reduced mass使我们能够做到这一点。计算reduced mass的公式为：\[ \mu = \frac{m_1 m_2}{m_1 + m_2} \]其中\( m_1 \)和\( m_2 \)是两个物体的质量。这个方程表明，reduced mass总是小于或等于两个质量中较小的一个。这一属性对于reduced mass至关重要，因为它确保了两体系统的动力学可以有效地简化。Reduced mass最常见的应用之一是在轨道力学中，它有助于确定行星和卫星的运动。例如，在计算地球和月球之间的引力相互作用时，我们可以使用它们的reduced mass来简化计算，而不是将它们视为两个独立的实体。这种简化导致更易管理的方程和对它们轨道路径的更清晰理解。另一个reduced mass至关重要的领域是量子力学，特别是在原子系统的研究中。例如，在分析氢原子时，我们可以将电子和质子视为两个通过电磁力相互作用的物体。通过使用电子和质子的reduced mass，我们可以更轻松地推导氢原子的能级。这种方法不仅简化了数学运算，还为深入了解原子系统的行为提供了更深刻的见解。总之，reduced mass的概念在物理学的各个分支中都是基础性的。它作为一个强大的工具，使科学家能够将复杂的两体问题简化为更易管理的形式。通过理解reduced mass，人们可以更好地掌握支配物体之间相互作用的基本原理，无论它们是太空中的行星还是原子水平的粒子。因此，掌握reduced mass的概念对于任何希望深入探索物理学及其应用的人来说都是至关重要的。