跟讀練習: If You Don't Understand Quantum Physics, Try This! - 通過影片學習英語口語

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Quantum physics is a mystique of being complicated and hard to understand.

In fact, Richard Feynman, who won the Nobel Prize for his work on quantum electrodynamics said, If you think you understand quantum physics,

you don't understand quantum physics.

Which is kind of disheartening for us because if he didn't understand it, what chance do the rest of us have?

Fortunately, this quote is a little misleading.

We do in fact understand quantum physics really In fact,

it's arguably the most successful scientific theory out there and has let us invent technologies like computers,

digital cameras, LED screens, lasers, nuclear power plants.

You know, you don't really want to build a nuclear power plant if you don't really understand how it works.

So quantum physics is the part of physics that describes the very smallest things in our universe.

Molecules, atoms, subatomic particles, things like that.

The things down there don't quite work the same way that we used to up here.

This is fascinating because you and everything around you is made from quantum physics, and so this is really how the whole universe is actually working.

I've drawn these protons, neutrons and electrons as particles, but in quantum mechanics we really describe everything as waves.

By the way I'm using quantum physics and quantum mechanics interchangeably, they're the same thing.

So instead of an electron looking like this, it should look something like this.

This is called a wave function.

But this wave function isn't a real physical wave like a wave on water or a sound wave.

A quantum wave is an abstract mathematical description.

To get the real world properties like position

or momentum of an electron we have to do mathematical operations on this wave function.

So for the position we take the amplitude and square it, which for this wave would look something like this.

This gives us a thing called a probability distribution which tells us

that you're more likely to find the electron here than here.

And when we actually measure where the electron is, an electron particle pops up somewhere within this area.

So with quantum physics we don't know anything with infinite detail.

We can only predict probabilities that things will happen.

And it looks like this is a fundamental feature of the universe, which was quite a departure from the clockwork deterministic universe in classical physics,

the kind of thing Newton derived.

This wave function model predicts what subatomic particles will do incredibly well, but weirdly we've got no idea if this wave function is literally real or not.

No one's ever seen a quantum wave, because whenever we measure an electron all we ever see is a point-like electron particle.

So there's like this hidden quantum realm where the waves exist, and then the world we can see, which is where all the waves have turned into particles,

and the barrier between these is a measurement.

We say that a measurement collapses the wave function, but we don't actually have any physics to describe how the wave collapses.

This is a gap in our knowledge that we've dubbed the measurement problem, and this is one of the things that Feynman was referring to with his quote.

Another confusing thing is how exactly to picture an electron.

It seems to be a wave until you measure it, and then it's a particle.

So what actually is it?

This is known as particle wave duality and here's an example of it in action, the famous double slit experiment.

Imagine spraying a paintball gun at a wall with two openings in it.

You'd expect to see two columns of paint go through and hit the wall behind.

But if you shrink this all down to the size of electrons you see something quite different.

You can fire one electron at a time at the slits and they appear on the back wall,

but as they build up over time you get a whole pattern of stripes instead of just two bands.

This pattern of stripes is called an interference pattern, something you only see with waves.

The idea is that it's the electron wave that goes through both slits at the same time, and then the waves from each slit overlap with each other,

and where the waves add together you've got a high probability of the electron popping up at the wall, but where the waves cancel out the probability is very low.

So actually on the back wall, the highest probability of finding the electron is in the middle of the slits

and then it goes down and then up again and down and up again and this is the interference pattern.

So when you fire one electron after another they follow this probability distribution

and this interference pattern starts building up and that's exactly what we see in experiments.

So this shows that electrons behave like waves in this experiment.

The question is what actually happens to this spread out electron wave when you do a measurement.

Seems like it goes from this spread out wave to this localized particle.

But like I said there's nothing in quantum mechanics that tells us how the wave function collapses.

And this is not only true for electrons but everything in the universe.

So this double slit experiment has huge consequences for our model of the universe.

And it was very surprising the first time it was done.

Physicists are still grappling with this question today

and have come up with many interpretations of quantum mechanics to try and explain these results and explain how reality actually works.

Ok, let's go back to the wave function.

We can now use this picture to explain other features of quantum physics that you may have heard about.

So this is just one possible wave function for an electron, but there's many others, like this one for instance.

This says that the electron has a probability of being over here and a probability of being over here, and very little probability of being in the middle.

This is perfectly allowable in quantum physics, and this is where the phrase things can be in two places at once comes from.

This is known as superposition, which comes from the fact that this wave can be made by adding these two waves.

The word superposition just means the adding together of waves, and we already saw this in the double slit experiment.

And it's not really a very special phenomenon.

You can even see superposition by dropping two pebbles into a pond where the ripples overlap.

Now for entanglement.

Let's say two electron waves meet.

Their waves interfere with each other and become mixed up.

This means that mathematically we now have one wave function that describes everything about both electrons and they're inextricably linked, even if they move far away from each other.

A measurement on one of the particles, like measuring if it's spin up or down, is now correlated with a measurement on the other, even if they move billions of miles away.

Einstein was very uncomfortable with this idea because if you measure one of the particles here, you instantaneously know what the other will be, even if it's billions of miles away.

And that's got a sort of whiff of faster than light communication, which is not allowed by the theory of relativity.

But it turns out you can't actually use this to communicate information because the measurements give you random results.

But the fact that they are correlated means that somehow there is a link that stretches over that distance.

This is called non-locality.

Quantum tunnelling.

Quantum tunnelling is where particles have a probability of moving through barriers, essentially allowing things like electrons to pass through walls.

When a wave function meets a barrier, it decays exponentially inside the barrier.

But, if the barrier is narrow enough, the wave function will still exist on the other side, meaning that there's a probability of the particle being found there when a measurement is made.

In fact, the only reason you're alive is because of quantum tunnelling in the Sun, which makes the Sun shine.

Protons normally repel each other, but they've got a small probability of quantum tunnelling into each other, which is what turns hydrogen into helium and releases fusion energy.

All life exists on Earth because of energy from the Sun except for life around hydrothermal vents.

Now onto the Heisenberg uncertainty principle.

I said at the beginning that this wave function contains all of the information like position and momentum of the electron.

We just have to do some maths on it.

The position is given by the amplitude or height of the wave, and the momentum is given by the wavelength of the wave.

But for this specific wave, the position gives us a probability distribution, so we don't know exactly where the electron is.

Also, there's an uncertainty in the momentum, because this wave is made of many different wavelengths.

But we can reduce that uncertainty.

Let's have a wave that only has one wavelength, so a sine wave.

Now we know the momentum exactly because the wavelength has a single value.

But look at the position.

There's an equal probability of the electron being found anywhere in the universe.

Ok, let's do the opposite.

Let's make a wave that has only one position.

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Now we know exactly where the electron is, but what's the wavelength of this wave?

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Now the wavelength is very uncertain.

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Basically only a sine wave gives you a precise momentum.

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And any wave that isn't a perfect sine wave, you have to build out of multiple different sine waves.

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And each of those multiple different sine waves has got a different wavelength, and hence you have a range of the possible different values of momentum for the particle.

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This is Heisenberg's uncertainty principle.

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You can only know certain things precisely, but not everything.

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Either you've got a definite value of momentum, and don't know anything about position, or you know the position very well, but don't know anything about the momentum.

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Or you're in some intermediate state.

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And this isn't a limit of our measuring apparatus, this is a fundamental property of the universe.

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And finally, where does the name quantum come from?

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Well, a quanta is a packet of something, like a chunk of something.

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And one of the first quantum effects people saw were atomic spectra, which is where atoms give off light with specific discrete energies.

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It works like this.

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Imagine a string that's tied at both ends, like a guitar string.

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If you pluck it, only certain waves can exist because the ends are tied down.

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In this situation we say that the wavelengths are quantised to certain values.

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The same thing happens if you tie the ends of the string together because the waves have to match up.

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They can only vibrate in certain restricted And this is what's happening to an electron in an atom.

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The electron wave is constrained by the atom and quantized to certain wavelengths.

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Short wavelengths have got a high energy and long wavelengths of a lower energy.

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This is why the light emitted by an atom looks like a barcode, because each bar of light corresponds to an electron jumping from

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a wave with a high energy to one with a lower energy

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and at the same time emitting a quantized photon of light when it does this.

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where the light from an atom is quantised to discrete packets of energy.

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Ok, so that's all the basics of quantum physics.

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Here are some technical notes which aren't essential to know, but pause the screen now if you're interested in a little bit more mathematical detail.

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So to round up, in quantum physics objects are described with wave functions, but when we measure them, what we see are particles.

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So this leads to particle wave duality and also the measurement problem.

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And the consequence of these wave functions are the quantum phenomena superposition, entanglement, quantum tunneling, the Heisenberg uncertainty principle, and energy quantization.

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So if you understand these things you've got a good basic understanding of quantum physics.

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Despite its reputation I think that quantum mechanics isn't too difficult for most people to get the basics of what's going on.

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In the past I've relied on analogies to try and explain it, but here I've just described what's actually going on, which I think might be more helpful.

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But if you've got more questions I'll be on the comments below, so ask away.

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For me the weird thing about quantum physics is that on the one hand it's incredibly accurate and predictive, but also it's got giant holes in it like the measurement problem,

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which we just don't understand.

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So we can wonder, will we ever actually understand quantum physics, or is it just too abstract for our human brains to comprehend?

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Well I hope this video has helped you understand a little bit more about how quantum physics works.

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Each problem teaches you some interesting facts that you can then use to solve the problem.

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And if you enjoy that specific problem there are links to more on the same topic

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so you can develop your framework of knowledge around that subject.

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And as ever if you're confused and need more guidance then you can join with the community discussions.

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Well that's it from me, thanks for watching and I'll see you next time.

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本課的詞彙與口語要點

這段影片共有 148 個句子、2339 個單詞可供跟讀。講話部分時長為 12:35。說話人語速較快，每分鐘約 186 個詞，會出現較多連讀和弱讀。只有 79% 的單詞屬於英語最常用的 3,000 詞，詞彙難度較高。

影片中的重點詞彙

影片中 15 個不太常見的單詞，附發音和釋義：

quantum /ˈkwɑntəm/ (名詞) — 量. The total amount of something; quantity.
electron /ɪˈlɛk.tɹɑn/ (名詞) — 電子 /電子. The subatomic particle having a negative charge and orbiting the nucleus; the flow of electrons in a conductor constitutes electricity.
physics /ˈfɪz.ɪks/ (名詞) — 物理學 /物理學. The branch of science concerned with the study of the properties and interactions of space, time, matter and energy.
particle /ˈpɑɹtək(ə)l/ (名詞) — 粒子. A very small piece of matter, a fragment; especially, the smallest possible part of something.
probability /ˌpɹɑ.bəˈbɪl.ə.ti/ (名詞) — 可能性. The state of being probable.
measurement /ˈmɛʒ.ə.mənt/ (名詞) — 尺寸. The act of measuring.
momentum /ˌmə(ʊ)ˈmɛntəm/ (名詞) — 動量 /動量. Of a body in motion: the tendency of a body to maintain its inertial motion; the product of its mass and velocity, or the vector sum of the products of its…
atom /ˈætəm/ (名詞) — 原子. The smallest possible amount of matter which still retains its identity as a chemical element, now known to consist of a nucleus surrounded by electrons.
experiment /ɪkˈspɛɹ.ə.mənt/ (名詞) — 實驗 /實驗. A test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy or likelihood of…
tunnel /ˈtʌn(ə)l/ (名詞) — 隧道, 地下道. An underground or underwater passage.
barrier /ˈbæɹi.ə/ (名詞) — 障, 柵欄 /柵欄. A structure that bars passage.
uncertainty /ʌnˈsɜːtənti/ (名詞) — 不確定性. Doubt; the condition of being uncertain or without conviction.
mechanic /mɪˈkænɪk/ (名詞) — 技工, 機械工 /機械工. Someone who builds or repairs machinery, a technician; now specifically, someone who works with and repairs the mechanical parts of a motor vehicle, aircraft…
string /stɹɪŋ/ (名詞) — 線 /線. A long, thin and flexible structure made from threads twisted together.
principle /ˈpɹɪn.sɪ.pəl/ (名詞) — 原理, 原則 /原則. A fundamental assumption, fundamental law or guiding belief.

影片中出現的短語動詞

come from (動詞) — 來自 /來自. To have as one's origin, birthplace or nationality.
go through (動詞) — 通過 /通過. To travel from one end of something to the other.
come up with (動詞) — 想出, 提出. To manage to produce, deliver, or present (something) by inventing, creating, thinking of, or obtaining it.
do in (動詞) — 幹掉 /幹掉, 弄死. To kill or end; to defeat.
give off /ɡɪv ɒf/ (動詞) — 散發 /散發, 發出 /發出. To emit; to produce and send forth; to come across in some manner.
go down (動詞) — 下降, 下去. To descend; to move from a higher place to a lower one.
look at (動詞) — 觀察 /觀察, 看. To observe or watch.
pop up (動詞) — 彈出. To come up with a "pop" sound.

需要注意的發音

說話人用了 39 次縮略和弱讀形式，例如 don't, you're, you've。請按聽到的簡短形式來說。

“th” 音: mathematical /ˌmæθ(.ə)ˈmæt.ɪ.kəl/, mathematics /mæθ(.ə)ˈmæt.ɪks/, wavelength /ˈweɪvˌlɛŋ(k)θ/
“sh” 和 “zh” 音: measurement /ˈmɛʒ.ə.mənt/, reputation /ˌɹɛpjʊˈteɪʃən/, essentially /ɪˈsɛnʃəli/, interpretation /ɪnˌtɜːpɹəˈteɪʃən/, shine /ʃaɪn/
長單詞——注意重音位置: probability /ˌpɹɑ.bəˈbɪl.ə.ti/, momentum /ˌmə(ʊ)ˈmɛntəm/, experiment /ɪkˈspɛɹ.ə.mənt/, uncertainty /ʌnˈsɜːtənti/, mathematical /ˌmæθ(.ə)ˈmæt.ɪ.kəl/

如何用這段影片練習

先完整聽一遍影片，不要開口，記下不認識的單詞。
先用 0.75 倍速逐句跟讀，熟練之後再回到正常速度。
錄下自己的聲音並與原聲對比，特別注意 quantum, electron, physics 這類單詞。

影片中的語法

說話人最常用的結構，並附上影片中的原話：

結構	影片中的用法
條件句 if + 從句，will/would + 動詞 — 條件及其結果	if you've got more questions I'll be
被動語態 be + 過去分詞 — 強調發生了什麼，而不是誰做的	is made · is called · is known
現在完成時 have/has + 過去分詞 — 過去發生但與現在仍有關聯的事	has let · I've drawn · have turned
定語從句 who / which + 從句 — 補充說明人或事物	universe, which was · communication, which is · Sun, which makes

什麼是跟讀法？

跟讀法 (Shadowing) 是一種有科學依據的語言學習技巧，最初開發用於專業口譯員的培訓，並由多語言者Alexander Arguelles博士普及。這個方法簡單而強大：您在聽英語母語原聲的同時立即大聲重複——就像是一個延遲1-2秒緊跟說話者的影子。與被動聽力或語法練習不同，跟讀法強迫您的大腦和口腔肌肉同時處理並模模擬實的講話模式。研究表明它能顯著提高發音準確性，語調，節奏，連讀，聽力理解和口語流利度——使其成為雅思口語備考和真實英語交流最有效的方法之一。

影子跟讀法: 閱讀完整分步指南 →

跟讀練習: If You Don't Understand Quantum Physics, Try This! - 通過影片學習英語口語

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