perturbative

简明释义

英[/pərˈtɜːrbətɪv/]美[/pərˈtɜːrbətɪv/]

adj. 使混乱的；扰乱性的

英英释义

单词用法

同义词

反义词

例句

1.Then the perturbative description of the interaction between a single electron and the laser field can be replaced by the tunneling ionization.

此时单个电子与场相互作用的微扰描述可以用隧穿描述取代。

2.Micro satellite is under the influence of perturbative forces which would affect its orbit, so it is important to consider these perturbations in micro satellite orbit design and control.

小卫星在实际运行中受到多种摄动力的作用，这会对其轨道造成不同程度的影响，因此在小卫星的轨道设计与控制中，摄动是必须考虑的重要因素。

3.Geometry and quantum field theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.

几何和量子场论课程是用泛函积分的语言对微扰量子场论的严谨的介绍，主要针对数学家设计。

4.Studying QCD vacuum properties and non-perturbative QCD is a very important issue for strongly interacting processes.

研究QCD真空性质和非微扰QCD对于强相互作用过程来说是一个非常重要的问题。

5.The perturbative methods for positron-atom scattering omitted Ps formation and ionization channels.

微扰的方法在正电子与原子的三射中忽略了电子偶素形成和电离通道；

6.Chapter 1 begin with an introduction and overview of the computations of perturbative scattering amplitudes.

第一章是关于微扰散射振幅计算的导论和概述。

7.Using the perturbative method the asymptotic solution of the corresponding model is obtained.

利用摄动方法求出了相应模式的渐近解。

8.Micro satellite is under the influence of perturbative forces which would affect its orbit, so it is important to consider these perturbations in micro satellite orbit design and control.

小卫星在实际运行中受到多种摄动力的作用，这会对其轨道造成不同程度的影响，因此在小卫星的轨道设计与控制中，摄动是必须考虑的重要因素。

9.In quantum field theory, a perturbative approach is often used to calculate interactions between particles.

在量子场论中，通常使用微扰的方法来计算粒子之间的相互作用。

10.The perturbative expansion allows physicists to approximate complex systems by breaking them down into simpler parts.

微扰展开允许物理学家通过将复杂系统分解为更简单的部分来进行近似计算。

11.The perturbative method is particularly useful in situations where exact solutions are not available.

当没有精确解时，微扰方法特别有用。

12.In this study, we explore the perturbative effects of external forces on the stability of the system.

在这项研究中，我们探讨了外部力对系统稳定性的微扰影响。

13.Many problems in statistical mechanics can be addressed using perturbative techniques.

统计力学中的许多问题可以通过使用微扰技术来解决。

作文

In the realm of physics and mathematics, the term perturbative refers to a method or approach that involves the use of small changes or disturbances to analyze complex systems. This technique is particularly useful when dealing with problems that are too difficult to solve exactly. By applying perturbative methods, scientists can gain insights into the behavior of a system by examining how it responds to minor alterations in its parameters. For instance, in quantum field theory, the perturbative approach allows physicists to compute probabilities of various outcomes by expanding solutions in terms of a small coupling constant. This expansion leads to a series of terms, each representing a different level of interaction within the system, thus providing a way to systematically approximate the desired quantities.The significance of perturbative techniques extends beyond theoretical physics; they also find applications in other fields such as economics, engineering, and even biology. In economics, for example, analysts might use perturbative methods to evaluate how small changes in interest rates could affect overall economic growth. By modeling the economy as a complex system, they can derive approximations that help policymakers make informed decisions.One of the main advantages of using perturbative approaches is that they simplify the analysis of complex systems. Instead of attempting to solve a problem in its entirety, which can be computationally intensive and practically impossible, researchers can focus on small deviations from a known solution. This not only makes the calculations more manageable but also allows for a clearer understanding of the underlying mechanisms at play. However, it is important to note that perturbative methods have their limitations. They are most effective when the perturbations are indeed small, and their accuracy diminishes as the size of the perturbation increases. In cases where large changes occur, non-perturbative methods may be required to obtain reliable results.Moreover, the concept of perturbative analysis encourages a deeper exploration of the effects of small changes in various contexts. For instance, in environmental science, researchers might study how slight variations in temperature or pollutants can impact ecosystems. By employing perturbative techniques, they can identify critical thresholds beyond which significant changes occur, thus providing valuable insights for conservation efforts.In conclusion, the term perturbative encapsulates a powerful analytical framework that enhances our understanding of complex systems across multiple disciplines. Whether in physics, economics, or environmental science, perturbative methods facilitate the exploration of how small disturbances can lead to significant outcomes. While they are not without their limitations, the ability to simplify complex problems through perturbative analysis remains an invaluable tool for researchers striving to uncover the intricacies of the world around us. As we continue to advance our knowledge and technology, the role of perturbative approaches will undoubtedly remain pivotal in shaping future discoveries and innovations.

在物理学和数学领域，术语perturbative指的是一种方法或方法，涉及使用小的变化或干扰来分析复杂系统。这种技术在处理难以精确解决的问题时特别有用。通过应用perturbative方法，科学家可以通过检查系统如何响应其参数的小改变来获得对系统行为的洞察。例如，在量子场论中，perturbative方法允许物理学家通过根据小耦合常数扩展解来计算各种结果的概率。这种扩展导致一系列项，每个项代表系统内不同级别的相互作用，从而提供了一种系统地近似所需量的方法。perturbative技术的重要性不仅限于理论物理；它们还在经济学、工程学甚至生物学等其他领域找到应用。例如，在经济学中，分析师可能会使用perturbative方法来评估利率的小变化如何影响整体经济增长。通过将经济建模为复杂系统，他们可以推导出帮助决策者做出明智决策的近似值。使用perturbative方法的主要优点之一是简化了对复杂系统的分析。研究人员不必试图完全解决一个问题，这在计算上可能是密集且实际上不可能的，而是可以专注于从已知解决方案的小偏差。这不仅使计算变得更易于管理，而且还允许对潜在机制有更清晰的理解。然而，重要的是要注意，perturbative方法有其局限性。它们在扰动确实较小时最有效，当扰动的大小增加时，其准确性会降低。在发生大变化的情况下，可能需要非perturbative方法来获得可靠的结果。此外，perturbative分析的概念鼓励在各种背景下深入探讨小变化的影响。例如，在环境科学中，研究人员可能会研究温度或污染物的轻微变化如何影响生态系统。通过采用perturbative技术，他们可以识别临界阈值，超过该阈值会发生显著变化，从而为保护工作提供宝贵的见解。总之，术语perturbative概括了一个强大的分析框架，增强了我们对多个学科复杂系统的理解。无论是在物理学、经济学还是环境科学中，perturbative方法促进了对小干扰如何导致重大结果的探索。虽然它们并不是没有局限性，但通过perturbative分析简化复杂问题的能力仍然是研究人员努力揭示周围世界复杂性的宝贵工具。随着我们继续推进知识和技术，perturbative方法的角色无疑将在塑造未来发现和创新中保持关键作用。