non relativistic approximation

简明释义

非相对论性近似

英英释义

例句

1.In fluid dynamics, the non relativistic approximation simplifies the equations governing the flow of liquids.

在流体动力学中，非相对论近似简化了控制液体流动的方程。

2.Quantum mechanics sometimes requires a non relativistic approximation for certain calculations involving particles at low speeds.

量子力学在某些涉及低速粒子的计算中，有时需要采用非相对论近似。

3.The non relativistic approximation is valid for most everyday scenarios, such as cars driving on the highway.

在大多数日常场景中，例如汽车在高速公路上行驶，非相对论近似是有效的。

4.When analyzing the motion of planets, astronomers often rely on the non relativistic approximation to predict their orbits.

在分析行星运动时，天文学家通常依赖于非相对论近似来预测它们的轨道。

5.In classical mechanics, we often use the non relativistic approximation to simplify calculations when velocities are much less than the speed of light.

在经典力学中，当速度远小于光速时，我们经常使用非相对论近似来简化计算。

作文

In the realm of physics, particularly in the study of mechanics and quantum mechanics, the concept of non relativistic approximation plays a crucial role. This approximation is essential for simplifying complex problems where the speeds involved are much less than the speed of light. In essence, the non relativistic approximation allows physicists to ignore the effects of relativity, which can complicate calculations and understanding of physical phenomena. To illustrate this, consider a car traveling at a speed of 60 miles per hour. In this scenario, the car's speed is negligible compared to the speed of light, which is about 186,282 miles per second. Therefore, we can apply the non relativistic approximation to analyze the car's motion without needing to factor in relativistic effects. This simplification makes it easier to predict the car's trajectory, acceleration, and other related parameters using classical mechanics.However, as speeds approach a significant fraction of the speed of light, the limitations of the non relativistic approximation become apparent. For example, particles in high-energy physics experiments, such as those found in particle accelerators, often move at speeds that require a relativistic approach. In these cases, failing to account for relativistic effects can lead to inaccurate predictions and misunderstandings of particle behavior.The non relativistic approximation is not only limited to classical mechanics but also finds applications in quantum mechanics. In quantum systems where particles are moving slowly compared to the speed of light, this approximation simplifies the mathematical models used to describe wave functions and probabilities. For instance, when studying the behavior of electrons in atoms, if we assume they are moving non-relativistically, we can use the Schrödinger equation effectively without the complications introduced by special relativity.Despite its usefulness, the non relativistic approximation has its boundaries. It is vital for scientists and engineers to recognize when this approximation is valid and when it is not. Applying it in situations where relativistic effects are significant can lead to erroneous conclusions and flawed designs. Therefore, understanding the context and limitations of the non relativistic approximation is essential for anyone working in fields that involve high-speed phenomena.In conclusion, the non relativistic approximation is a powerful tool that simplifies the analysis of physical systems operating at low speeds. It allows for the application of classical mechanics and quantum mechanics without the complications introduced by relativity. However, awareness of its limitations is crucial for accurate scientific inquiry and technological advancement. As we continue to explore the universe and its fundamental laws, the balance between simplicity and accuracy remains a central theme in the study of physics. By mastering concepts like the non relativistic approximation, we equip ourselves with the tools necessary to navigate the complexities of the natural world.

在物理学领域，特别是在力学和量子力学的研究中，非相对论近似这一概念发挥着至关重要的作用。这种近似对于简化复杂问题是必不可少的，尤其是在涉及的速度远小于光速的情况下。实质上，非相对论近似使物理学家能够忽略相对论效应，这可能会使计算和理解物理现象变得复杂。为了说明这一点，考虑一辆以每小时60英里的速度行驶的汽车。在这种情况下，汽车的速度与光速相比可以忽略不计，光速约为每秒186,282英里。因此，我们可以应用非相对论近似来分析汽车的运动，而无需考虑相对论效应。这种简化使我们能够使用经典力学更容易地预测汽车的轨迹、加速度和其他相关参数。然而，随着速度接近光速的显著比例，非相对论近似的局限性变得显而易见。例如，在高能物理实验中，如粒子加速器中发现的粒子，通常以接近光速的速度移动。在这些情况下，如果不考虑相对论效应，可能会导致不准确的预测和对粒子行为的误解。非相对论近似不仅限于经典力学，也在量子力学中找到了应用。在量子系统中，当粒子的运动速度远低于光速时，这种近似简化了用于描述波函数和概率的数学模型。例如，当研究原子中电子的行为时，如果我们假设它们是以非相对论方式运动的，我们可以有效地使用薛定谔方程，而不需要考虑特殊相对论引入的复杂性。尽管非相对论近似非常有用，但它也有其边界。科学家和工程师必须认识到何时这种近似是有效的，何时又不是。在相对论效应显著的情况下应用它可能会导致错误的结论和有缺陷的设计。因此，理解非相对论近似的背景和局限性对于任何从事高速现象研究的人来说都是至关重要的。总之，非相对论近似是一个强大的工具，简化了在低速下运行的物理系统的分析。它允许在不引入相对论复杂性的情况下应用经典力学和量子力学。然而，意识到其局限性对于准确的科学研究和技术进步至关重要。随着我们继续探索宇宙及其基本法则，简单性与准确性之间的平衡仍然是物理研究中的一个核心主题。通过掌握像非相对论近似这样的概念，我们为自己配备了必要的工具，以驾驭自然世界的复杂性。