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cover of episode Heisenberg's Uncertainty Principle

Heisenberg's Uncertainty Principle

2024/3/28
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In Our Time: Science

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Fay Dowker
F
Frank Close
H
Harry Cliff
M
Melvyn Bragg
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Frank Close: 我认为海森堡的古典教育背景,特别是对柏拉图哲学的兴趣,可能影响了他对原子结构的理解,并最终促使他用数学语言来表达微观世界的规律。他早期对玻尔原子模型的质疑,以及对原子发光现象的关注,最终促使他基于可观测现象研究量子力学。1925年,他提出的方程标志着量子力学的诞生,它解释了原子发光的原因以及如何用数学描述。量子理论的早期发展,基于对自然界离散性的假设,解释了此前经典理论无法解释的现象。海森堡的工作弥补了早期量子理论缺乏精确数学描述的不足,如同牛顿力学之于经典力学。 Fay Dowker: 海森堡1925年的论文突破性地提出了原子内部动力学模型,解决了早期模型缺乏内在机制的缺陷。他保留了玻尔关于原子能级离散的观点,但否定了电子存在特定轨道的假设,认为电子的轨道位置不可观测,因此不应在理论中讨论。他将原子状态之间的跃迁视为概率事件,并将其与原子发射光的强度联系起来。通过反向推导实验结果,他提出了用矩阵表示电子位置的新方法,并提出了矩阵方程描述了电子位置的动态变化,类似于牛顿第二定律。 Harry Cliff: 海森堡在远离尘嚣的环境中完成了关键的理论突破。他最初并未意识到自己使用的代数是矩阵代数,是他的同事玻恩指出了这一点。海森堡的矩阵力学由于其抽象性,在当时并未被物理学家广泛接受,薛定谔的波动方程则更容易理解。量子力学强调的是可观测的实验结果,而非对微观世界的直观图像。量子力学并非完全取代经典力学,而是在特定领域对其进行了扩展。 Melvyn Bragg: 海森堡的突破在于建立了微观世界的运动方程,使得对微观世界的研究成为可能。他的矩阵方法虽然不如薛定谔的波动方程使用广泛,但其重要性不容忽视。他的工作确立了微观世界的运动方程,并成功解释了此前无法理解的现象,例如氢分子的存在形式。他的理论成功预测并解释了氢分子的存在形式,为其诺贝尔奖的获得提供了实验依据。海森堡的量子力学迅速应用于各个领域,解决了诸多此前无法解释的现象。

Deep Dive

Key Insights

What was Werner Heisenberg's major breakthrough in 1925?

Werner Heisenberg's major breakthrough in 1925 was the creation of quantum mechanics. He developed a mathematical framework that described atomic particles without assuming their continuous orbit around the nucleus, replacing it with equations based on observable phenomena like light emission from atoms.

Why is Heisenberg's Uncertainty Principle significant?

Heisenberg's Uncertainty Principle is significant because it fundamentally changed our understanding of the quantum world. It states that it is impossible to simultaneously know both the exact position and momentum of a particle. This principle highlights the inherent limitations in measuring quantum systems and underscores the probabilistic nature of quantum mechanics.

How did Heisenberg's background influence his work in physics?

Heisenberg's background, particularly his exposure to classical philosophy through his father, influenced his approach to physics. He was inspired by Plato's ideas, which led him to view the smallest units of matter not as physical particles but as abstract forms expressed through mathematical language. This philosophical perspective shaped his revolutionary thinking in quantum mechanics.

What role did Niels Bohr play in Heisenberg's development of quantum mechanics?

Niels Bohr played a crucial role in Heisenberg's development of quantum mechanics. Heisenberg attended a lecture by Bohr in 1922, which challenged his thinking about the atom's structure. This led to a year-long collaboration in Copenhagen, where Heisenberg began formulating his mathematical approach to quantum mechanics, focusing on observable phenomena like atomic light emission.

How did Heisenberg's matrix mechanics differ from Schrödinger's wave mechanics?

Heisenberg's matrix mechanics and Schrödinger's wave mechanics were two different mathematical approaches to quantum mechanics. Matrix mechanics used abstract matrices to describe particle properties, while wave mechanics described particles as waves. Although they were later shown to be mathematically equivalent, Schrödinger's approach was initially more widely adopted due to its intuitive wave-based description.

What are the practical implications of the uncertainty principle in modern physics?

The uncertainty principle has profound implications in modern physics, particularly in particle physics and quantum mechanics. It explains why high-energy experiments, like those at CERN, require massive accelerators to achieve precise measurements. Additionally, it underpins technologies like MRI and quantum computing, which rely on the probabilistic nature of quantum systems.

How did Heisenberg's uncertainty principle challenge classical physics?

Heisenberg's uncertainty principle challenged classical physics by introducing the idea that precise knowledge of both position and momentum is impossible at the quantum level. This contradicted the deterministic view of classical physics, where knowing initial conditions allowed for exact predictions of future states. Quantum mechanics, in contrast, is inherently probabilistic.

What was the impact of Heisenberg's work on modern technology?

Heisenberg's work on quantum mechanics has had a profound impact on modern technology. It underpins the development of semiconductors, which are essential for computers and smartphones, and has led to advancements in medical imaging technologies like MRI. Additionally, it has paved the way for emerging fields like quantum computing and quantum sensing.

How did Heisenberg's philosophical approach influence his scientific work?

Heisenberg's philosophical approach, particularly his focus on observable quantities and rejection of unobservable concepts like particle orbits, deeply influenced his scientific work. This positivist perspective led him to develop a mathematical framework for quantum mechanics that only dealt with measurable phenomena, fundamentally changing the way physicists understand and describe the quantum world.

What is the connection between Heisenberg's uncertainty principle and the universe's existence?

Heisenberg's uncertainty principle has been suggested as a possible explanation for the universe's existence. The principle allows for temporary energy fluctuations, which could have led to the universe emerging from nothing, with a total energy balance of zero. This idea ties the uncertainty principle to the origins of the cosmos, though it remains a speculative and philosophical concept.

Shownotes Transcript

Melvyn Bragg and guests discuss the German physicist who, at the age of 23 and while still a student, effectively created quantum mechanics for which he later won the Nobel Prize. Werner Heisenberg made this breakthrough in a paper in 1925 when, rather than starting with an idea of where atomic particles were at any one time, he worked backwards from what he observed of atoms and their particles and the light they emitted, doing away with the idea of their continuous orbit of the nucleus and replacing this with equations. This was momentous and from this flowed what’s known as his Uncertainty Principle, the idea that, for example, you can accurately measure the position of an atomic particle or its momentum, but not both.

With

Fay Dowker Professor of Theoretical Physics at Imperial College London

Harry Cliff Research Fellow in Particle Physics at the University of Cambridge

And

Frank Close Professor Emeritus of Theoretical Physics and Fellow Emeritus at Exeter College at the University of Oxford

Producer: Simon Tillotson

Reading list:

Philip Ball, Beyond Weird: Why Everything You Thought You Knew about Quantum Physics Is Different (Vintage, 2018)

John Bell, ‘Against 'measurement'’ (Physics World, Vol 3, No 8, 1990)

Mara Beller, Quantum Dialogue: The Making of a Revolution (University of Chicago Press, 2001)

David C. Cassidy, Beyond Uncertainty: Heisenberg, Quantum Physics, And The Bomb (Bellevue Literary Press, 2010)

Werner Heisenberg, Physics and Philosophy (first published 1958; Penguin Classics, 2000)

Carlo Rovelli, Helgoland: The Strange and Beautiful Story of Quantum Physics (Penguin, 2022)