Quantum Theory and Wave-Particle Duality · 量子理论与波粒二象性
| English | 中文 | Pinyin · 拼音 |
|---|---|---|
| wave–particle duality/weɪv ˈpɑːtɪkl djuːˈælɪti/ | 波粒二象性 | bō lì èr xiàng xìng |
| photon/ˈfəʊtɒn/ | 光子 | guāng zi |
Is light a wave or a particle? Yes.
- Diffraction and interference prove light is a wave. The photoelectric effect proves it's a particle.
- Both are true at once — light is somehow both, depending on how you test it.
- This is wave–particle duality 波粒二象性, the strange heart of quantum physics.
- Even electrons, normally "particles", show wave behaviour too.
光是波还是粒子?都是。
- 衍射和干涉证明光是波。光电效应证明它是粒子。
- 两者同时成立——光不知怎的两者都是,取决于你如何测试它。
- 这就是波粒二象性,量子物理奇异的核心。
- 甚至通常被当作"粒子"的电子,也表现出波的行为。
Light comes in packets
- Light energy comes in tiny bundles called photons 光子.
- Each photon carries energy $E = hf$ — Planck's constant $h$ times the frequency.
- A brighter beam has more photons, not bigger ones.
- Higher-frequency light means higher-energy photons (blue > red; X-ray > visible).
光是一份一份来的
- 光的能量以称为光子的微小小包出现。
- 每个光子携带能量 $E = hf$——普朗克常数 $h$ 乘以频率。
- 更亮的光束有更多光子,而非更大的光子。
- 更高频率的光意味着更高能量的光子(蓝 > 红;X 射线 > 可见)。
The energy of a single photon is given by: · 单个光子的能量由以下公式给出：
$E = hf$ — Planck's constant times the frequency. · $E = hf$——普朗克常数乘以频率。
A brighter beam of light of the same colour has: · 同一颜色的更亮光束具有：
Brighter = more photons; each photon's energy depends only on frequency. · 更亮意味着更多光子；每个光子的能量仅取决于频率。
When each face shows
- Light shows its wave side in interference, diffraction and refraction.
- It shows its particle side when it hits matter — ejecting electrons, or as photons in a detector.
- Which behaviour you see depends on the experiment, not on the light changing.
- Neither picture alone is complete; you need both.
何时显示哪一面
- 光在干涉、衍射和折射中显示它的波面。
- 它在打到物质时显示粒子面——打出电子,或作为探测器里的光子。
- 你看到哪种行为取决于实验,而非光在改变。
- 单独任一图像都不完整;你两者都需要。
Light shows its ____ nature in interference and diffraction. · 光在干涉和衍射中表现出其____性质。
Interference and diffraction are wave behaviours. · 干涉和衍射是波动行为。
Select all · 所有 true statements about wave-particle duality. · 选择关于波粒二象性的所有正确陈述。
Light and matter are both wave and particle; photons have $E = hf$. Brighter means more photons, not more energetic ones. · 光和物质既是波也是粒子；光子具有$E = hf$。更亮意味着更多光子，而非能量更高的光子。
Matter waves too
- Louis de Broglie proposed that particles also have a wavelength: $\lambda = \dfrac{h}{p}$.
- Electrons fired at a crystal diffract, just like waves — confirming it.
- Big objects have absurdly tiny wavelengths, so we never notice their wave nature.
- Duality is universal; it's just hidden for everyday-sized things.
物质也有波
- 德布罗意提出粒子也有波长:$\lambda = \dfrac{h}{p}$。
- 射向晶体的电子会衍射,就像波一样——证实了这一点。
- 大物体的波长小得荒谬,所以我们从不察觉它们的波动性。
- 二象性是普遍的;只是对日常大小的东西被隐藏了。
Wave or particle evidence? · 波动性或粒子性的证据？
Light shows both natures. Sort each experiment by what it demonstrates. · 光同时表现出两种性质。按每个实验所证明的内容进行排序。
Particles such as electrons also have a wavelength and can diffract. · 电子等粒子也具有波长并能发生衍射。
De Broglie's $\lambda = h/p$ was confirmed by electron diffraction. · 德布罗意的$\lambda = h/p$已被电子衍射证实。
A brighter light means more photons, not more energetic ones. A single photon's energy is fixed by the frequency ($E = hf$), not the brightness. So dim blue light still has higher-energy photons than bright red light.
更亮的光意味着更多光子,而非更高能量的光子。单个光子的能量由频率决定($E = hf$),而非亮度。所以暗淡的蓝光的光子能量仍高于明亮的红光。
Which has higher-energy photons? · 哪种光的光子能量更高？
Blue light has a higher frequency, so $E = hf$ gives higher-energy photons. · 蓝光频率更高，因此$E = hf$给出能量更高的光子。
Which has higher-energy photons: red light or blue light?
- Blue light has a higher frequency, so by $E = hf$ its photons carry more energy.
- Making the red light brighter adds more photons but doesn't raise each photon's energy.
哪个的光子能量更高:红光还是蓝光?
- 蓝光频率更高,所以由 $E = hf$,它的光子携带更多能量。
- 把红光调亮增加更多光子,但不提高每个光子的能量。
Wave–particle duality: light (and matter) behaves as both a wave and a stream of particles. Light comes in photons of energy $E = hf$ — a brighter beam has more photons, not bigger ones. Even particles have a wavelength ($\lambda = h/p$), usually too tiny to notice.
波粒二象性:光(和物质)既表现为波又表现为一束粒子。光以能量 $E = hf$ 的光子出现——更亮的光束有更多光子,而非更大的。甚至粒子也有波长($\lambda = h/p$),通常小到无法察觉。