matrix mechanics

简明释义

矩阵力学

英英释义

例句

1.The principles of matrix mechanics 矩阵力学 were developed by Werner Heisenberg in the 1920s.

在20世纪20年代，维尔纳·海森堡发展了矩阵力学 matrix mechanics 的原理。

2.Students in advanced physics classes often study matrix mechanics 矩阵力学 to understand quantum theory.

高年级物理课的学生通常学习矩阵力学 matrix mechanics 以理解量子理论。

3.Many physicists use matrix mechanics 矩阵力学 to solve complex problems in quantum mechanics.

许多物理学家使用矩阵力学 matrix mechanics 来解决量子力学中的复杂问题。

4.The transition from classical mechanics to matrix mechanics 矩阵力学 was a significant leap in theoretical physics.

从经典力学到矩阵力学 matrix mechanics 的过渡是理论物理学中的一个重大飞跃。

5.In quantum physics, matrix mechanics 矩阵力学 provides a framework for describing the behavior of particles.

在量子物理中，矩阵力学 matrix mechanics 提供了描述粒子行为的框架。

作文

In the realm of physics, particularly in quantum mechanics, the term matrix mechanics refers to a formulation that describes the behavior of quantum systems. Developed by Werner Heisenberg in the early 20th century, matrix mechanics provides a mathematical framework that represents physical observables using matrices. This approach was groundbreaking because it shifted the understanding of particles and waves, proposing that particles could be described not just by their position and momentum, but also by their wave-like properties. The significance of matrix mechanics lies in its ability to handle complex systems where classical mechanics fails. For instance, in classical physics, objects are viewed as distinct entities with well-defined trajectories. However, in the quantum world, particles exhibit behaviors that can only be accurately described using probabilistic models. The introduction of matrix mechanics allowed physicists to calculate probabilities of various outcomes in experiments, thereby providing a clearer picture of quantum phenomena.One of the key features of matrix mechanics is the concept of operators acting on state vectors. In this framework, physical quantities such as energy and momentum are represented as matrices, and the states of quantum systems are represented as vectors in a high-dimensional space. This abstraction allows for the application of linear algebra techniques to solve problems that were previously intractable. For example, when dealing with multi-particle systems, matrix mechanics simplifies the calculations involved in predicting the behavior of these systems under various conditions.Moreover, matrix mechanics played a crucial role in the development of quantum theory as a whole. It laid the groundwork for the later formulation of quantum field theory and contributed to our understanding of fundamental interactions in nature. The success of matrix mechanics also prompted further exploration into alternative formulations of quantum mechanics, such as wave mechanics, which was introduced by Erwin Schrödinger. Despite the differences in approach, both formulations ultimately describe the same physical reality, highlighting the richness of quantum theory.In practical applications, matrix mechanics has found utility in various fields, including quantum computing and condensed matter physics. Quantum computers leverage the principles of matrix mechanics to perform calculations at speeds unattainable by classical computers. By manipulating quantum bits, or qubits, through operations represented by matrices, quantum computers can solve complex problems more efficiently than their classical counterparts.In conclusion, matrix mechanics is a fundamental aspect of modern physics that has transformed our understanding of the microscopic world. Its innovative approach to representing quantum systems through matrices has opened new avenues for research and technology. As we continue to explore the implications of quantum mechanics, the legacy of matrix mechanics will undoubtedly remain a cornerstone of theoretical physics, influencing future discoveries and advancements in science.

在物理学的领域，特别是在量子力学中，术语matrix mechanics指的是一种描述量子系统行为的公式。这个概念由维尔纳·海森堡在20世纪初提出，matrix mechanics提供了一种数学框架，用矩阵表示物理可观测量。这种方法具有开创性，因为它改变了对粒子和波的理解，提出粒子不仅可以通过它们的位置和动量来描述，还可以通过它们的波动特性来描述。 matrix mechanics的重要性在于它能够处理经典力学无法解决的复杂系统。例如，在经典物理中，物体被视为具有明确轨迹的独立实体。然而，在量子世界中，粒子表现出只能用概率模型准确描述的行为。matrix mechanics的引入使物理学家能够计算实验中各种结果的概率，从而提供了对量子现象更清晰的认识。matrix mechanics的一个关键特征是算子作用于状态向量的概念。在这个框架中，能量和动量等物理量被表示为矩阵，而量子系统的状态则被表示为高维空间中的向量。这种抽象使得可以应用线性代数技术来解决以前难以处理的问题。例如，在处理多粒子系统时，matrix mechanics简化了在各种条件下预测这些系统行为所需的计算。此外，matrix mechanics在量子理论的发展中发挥了重要作用。它为后来的量子场论的形成奠定了基础，并促进了我们对自然基本相互作用的理解。matrix mechanics的成功还促使人们进一步探索量子力学的替代理论，例如埃尔温·薛定谔提出的波动力学。尽管这两种方法存在差异，但它们最终都描述了同一物理现实，突显了量子理论的丰富性。在实际应用中，matrix mechanics在量子计算和凝聚态物理等多个领域找到了用途。量子计算机利用matrix mechanics的原理，以超越经典计算机的速度进行计算。通过操作由矩阵表示的量子比特（或称qubit），量子计算机可以更高效地解决复杂问题。总之，matrix mechanics是现代物理学的一个基本方面，它改变了我们对微观世界的理解。通过矩阵表示量子系统的创新方法为研究和技术开辟了新的途径。随着我们继续探索量子力学的影响，matrix mechanics的遗产无疑将继续成为理论物理学的基石，影响科学的未来发现和进步。