Waves versus particles

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Waves versus particles

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Corpuscular Theory of Light (1704)   Isaac Newton proposed that light consists of a stream of small particles, because it –  travels in straight lines at great speeds –  is reflected from mirrors in a predictable way

Newton observed that the reflection of light from a mirror resembles the rebound of a steel ball from a steel plate

Wave Theory of Light (1802)   Thomas Young showed that light is a wave, because it –  undergoes diffraction and interference (Young s double-slit experiment)

Particles   Position x   Mass m   Momentum p (Mass x velocity)

Waves   Wavelength λ   Amplitude A   Frequency f –  number of cycles per second (Hertz)

Waves versus Particles   A particle is localised in space, and has discrete physical properties such as mass   A wave is inherently spread out over many wavelengths in space, and could have amplitudes in a continuous range   Waves superpose and pass through each other, while particles collide and bounce off each other

Diffraction – bending of waves

Diffraction in everyday life

Diffraction in everyday life   In photo cameras, circular apertures tend towards a polygon when set to high f-numbers (small apertures).   Diffraction around edges causes diffraction spikes on photographs

Comparison of diffraction spikes for apertures of different shapes and blade count

Diffraction in everyday life

7 blades giving 14 spikes

Interference – superposition of waves

Interference in everyday life

Interference Fringes on a Screen

pattern of light & dark bands

Photoelectric Effect

When blue light is shone on the emitter plate, it knocks out electrons and a current flows in the circuit

Photoelectric Effect (cont d)

But for red light, no current flows in the circuit, even for high intensity light

Problems with Wave Theory of Light   The wave theory of light is unable to explain these observations   For waves, energy depends on amplitude and not frequency   This implies that a current should be produced when say, high-intensity red light is used

Einstein s Explanation (1905)

  Light consists of packets of energy (quanta), now known as photons   Photon energy depends on frequency   A photon hitting the emitter plate will eject an electron if it has enough energy   Blue photons have higher energy than red ones, because blue light has higher frequency than red.

Albert Einstein won a Nobel Prize for his work on the photoelectric effect and not his theory of relativity!

Everyday Evidence for Photons   Red light is used in photographic darkrooms because it is not energetic enough to break the halogen-silver bond in black and white films   Ultraviolet light causes sunburn but visible light does not because UV photons are more energetic   Our eyes detect colour because photons of different energies trigger different chemical reactions in retina cells

Wave-particle duality   Light has a dual nature. Sometimes it behaves like a wave, sometimes like particles.   Do other quantum-scale (very small) objects exhibit wave-particle duality?   E.g., may electrons behave like waves?

Double-Slit Experiment

to illustrate wave nature of light

Double-Slit Experiment with a machine gun!

Double-Slit Experiment with electron gun

Electrons behave like waves!

Interference Pattern of Electrons   After many electrons shot, the pattern resembles the interference pattern of light

Electron interference pattern after (a) 8 electrons, (b) 270 electrons, (c) 2000 electrons, and (d) 6000 electrons

Double-Slit Experiment

with electron gun and detector

Trying to detect which slit the electrons pass through causes them to behave like particles

Double-Slit Experiment

with electron gun and detector

https://www.youtube.com/watch?v=DfPeprQ7oGc

Summary   Waves and particles exhibit very different behaviour   Yet, light sometimes behaves like particles (photoelectric effect)

  And electrons sometimes behave like waves (interference pattern of electrons)

  In quantum theory, the distinction between waves and particles is blurred   Quantum objects appear to behave differently when observed than when unobserved.