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What is the difference between a particle and a wave in quantum mechanics?

In quantum mechanics, the difference between a particle and a wave is not absolute, but rather about how the same entity can behave under different conditions. Here’s the key idea:

1. Particle-like behavior

  • A particle is something localized in space — it has a well-defined position (like a small dot).
  • In experiments, particles show up as discrete “clicks” on detectors. For example, photons hitting a screen arrive as individual points.
  • Properties: mass, charge, momentum, and sometimes spin are thought of in a “particle” sense.

2. Wave-like behavior

  • A wave is spread out in space — it has wavelength, frequency, and can interfere or diffract.
  • In quantum experiments (like the double-slit experiment), electrons, photons, and even atoms show interference patterns, which are characteristic of waves.
  • A quantum “wave” is described mathematically by a wavefunction, which encodes probabilities of finding the particle in different places.

3. Wave–particle duality

  • Quantum objects are neither purely particles nor purely waves. They can display either property depending on how you observe them.
  • Example:
    • Fire electrons one by one at a double slit → each electron lands like a particle.
    • After many electrons → they form an interference pattern, showing wave behavior.

4. Modern interpretation

  • Instead of thinking of them as switching between “particle” and “wave,” physicists usually describe quantum objects as quantum states.
  • The wavefunction spreads like a wave, but when you measure it, you get a localized outcome like a particle.

So, the difference is in how they manifest:

  • Particles = localized, discrete detections.
  • Waves = extended, interference and diffraction.
  • Quantum reality = both aspects coexist, unified by the wavefunction.

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