Physic Labs

Quantum mechanics

The crisis of classical physics and the quantum hypothesis

Compare how the detection pattern accumulates with one slit versus two slits open; show that individual photons still build an interference pattern — wave–particle duality at the level of single events.

Undergraduate

Equipment

  • “One slit” / “Two slits” buttons choosing the slit configuration
  • “Emit 100 photons” button — a one-photon-at-a-time source
  • “Wavelength λ” and “Slit separation d” sliders
  • Detection screen recording each hit, with a “Clear screen” button

Procedure

  1. Open one slit and watch the pattern

    Choose “One slit” and press “Emit 100 photons” several times. Each detection is a separate dot, yet the accumulated distribution grows into a smooth single-slit band with no fringes — the photons arrive one by one, governed by probability.

  2. Open two slits and wait for the fringes

    Press “Clear screen”, select “Two slits” and emit a few hundred more photons. Alternating bright and dark fringes emerge out of random dots: the pattern belongs to each photon's probability amplitude, not to interactions between photons.

  3. Change λ and d, then check the fringe spacing

    Raise “Wavelength λ” or lower “Slit separation d” and predict the direction of change of the fringe spacing before looking at the screen. Compare the trend with Young's formula i=λD/ai = \lambda D/a: fringes widen for larger λ or closer slits.

Simulation

Experiment history

In 1900 Max Planck proposed that a black body exchanges energy in quanta E=hνE = h\nu to explain the radiation spectrum — the “quantum hypothesis”. In 1905 Einstein went further: light itself consists of energy quanta, which explained the photoelectric effect and were later called photons. In 1909 Geoffrey Taylor sent light so faint — on average less than one photon in the apparatus — through an interferometer and still recorded fringes after long exposure. Modern versions with single photons, and even electrons, neutrons or large molecules, give the same result: interference does not require many particles at once; each quantum interferes with its own probability amplitude.

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