reduced mass

简明释义

折算质量

英英释义

例句

1.In quantum mechanics, the reduced mass (约简质量) is used when dealing with the hydrogen atom model.

在量子力学中，处理氢原子模型时会用到reduced mass (约简质量)。

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

计算reduced mass (约简质量) 的公式是基于两个相关物体的质量推导出来的。

3.When analyzing the forces between two particles, we often use reduced mass (约简质量) to simplify our equations.

在分析两个粒子之间的力时，我们常常使用reduced mass (约简质量) 来简化方程。

4.The reduced mass (约简质量) is crucial for understanding the dynamics of orbiting bodies.

理解轨道天体的动力学时，reduced mass (约简质量) 是至关重要的。

5.In a two-body problem, the concept of reduced mass (约简质量) simplifies the calculations.

在双体问题中，reduced mass (约简质量) 的概念简化了计算。

作文

In the realm of physics, particularly in the study of two-body problems, the concept of reduced mass plays a crucial role in simplifying complex interactions. The reduced mass is defined as the effective mass that accounts for the motion of two bodies interacting with each other. When analyzing systems such as celestial bodies, atoms, or molecules, it becomes essential to simplify the equations of motion to make them more manageable. This is where the reduced mass comes into play. To understand the significance of reduced mass, let us consider a simple example: two objects in space. If we denote the masses of these two objects as m1 and m2, the traditional approach would involve calculating the gravitational or electrostatic forces acting between them using their individual masses. However, this can lead to complicated equations, especially when both masses are moving. By introducing the concept of reduced mass, we can simplify our calculations significantly.The formula for reduced mass is given by:\[ \mu = \frac{m_1 m_2}{m_1 + m_2} \]where \( \mu \) represents the reduced mass. This formula highlights how the reduced mass is derived from the product of the two masses divided by their sum. This value effectively reduces the two-body problem into a one-body problem, where one can treat the system as if a single body of mass \( \mu \) is moving in the gravitational field created by the other mass.This simplification is particularly useful in orbital mechanics. For instance, when studying the motion of planets around the sun or electrons around a nucleus, the reduced mass allows physicists to use familiar equations of motion without dealing with the complexities of two separate masses. It streamlines calculations and provides clearer insights into the dynamics of the system.Moreover, the reduced mass concept is not limited to classical mechanics but extends into quantum mechanics as well. In quantum mechanics, the reduced mass is used when solving the Schrödinger equation for systems like the hydrogen atom. Here, the electron and proton interact under the influence of their mutual attraction, and employing the reduced mass simplifies the problem significantly, allowing for easier computation of energy levels and wave functions.In summary, the concept of reduced mass serves as a powerful tool in both classical and quantum physics. It enables scientists and engineers to simplify complex problems involving two interacting bodies into more manageable forms. By reducing the complexity of the equations involved, the reduced mass aids in gaining a deeper understanding of the underlying physical principles governing the behavior of diverse systems, from planetary orbits to atomic structures. Ultimately, the reduced mass not only enhances computational efficiency but also enriches our comprehension of the fundamental laws of nature that govern the universe. Thus, whether one is delving into astrophysics or quantum mechanics, mastering the concept of reduced mass is vital for anyone seeking to grasp the intricacies of physical interactions.

在物理学领域，特别是在研究双体问题时，reduced mass（约化质量）这一概念在简化复杂相互作用方面发挥着至关重要的作用。reduced mass被定义为有效质量，用于考虑两个相互作用物体的运动。当分析天体、原子或分子等系统时，简化运动方程以使其更易于处理变得至关重要。这就是reduced mass派上用场的地方。要理解reduced mass的重要性，让我们考虑一个简单的例子：太空中的两个物体。如果我们将这两个物体的质量分别表示为m1和m2，传统的方法是使用它们各自的质量来计算作用在它们之间的引力或静电力。然而，这可能导致复杂的方程，尤其是当两个质量都在运动时。通过引入reduced mass的概念，我们可以显著简化我们的计算。reduced mass的公式为：\[ \mu = \frac{m_1 m_2}{m_1 + m_2} \]其中\( \mu \)代表reduced mass。这个公式突出了reduced mass是如何由两个质量的乘积除以它们的和得出的。这个值有效地将双体问题简化为单体问题，在这种情况下，可以将系统视为一个质量为\( \mu \)的单一物体在另一个质量所产生的引力场中运动。这种简化在轨道力学中尤其有用。例如，在研究行星围绕太阳运动或电子围绕原子核运动时，reduced mass使物理学家能够使用熟悉的运动方程，而无需处理两个独立质量的复杂性。它简化了计算，并提供了对系统动态的更清晰的洞察。此外，reduced mass的概念不仅限于经典力学，也扩展到量子力学。在量子力学中，当解决氢原子的薛定谔方程时，会使用reduced mass。在这里，电子和质子在相互吸引的影响下相互作用，运用reduced mass显著简化了问题，使能量水平和波函数的计算变得更加容易。总之，reduced mass的概念在经典和量子物理中都是一种强大的工具。它使科学家和工程师能够将涉及两个相互作用物体的复杂问题简化为更易于处理的形式。通过减少所涉及方程的复杂性，reduced mass有助于深入理解支配多种系统行为的基本物理原理，从行星轨道到原子结构。最终，reduced mass不仅提高了计算效率，还丰富了我们对支配宇宙的基本自然法则的理解。因此，无论是深入研究天体物理学还是量子力学，掌握reduced mass的概念对于任何希望理解物理相互作用复杂性的人来说都是至关重要的。