Electron Color & Wavelengths: Why Dependency?

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SUMMARY

The discussion centers on the relationship between electron properties and the perception of color, emphasizing that while light color is dependent on wavelength, electrons do not possess a color in the traditional sense. It clarifies that electrons exhibit wave-like behavior as described by quantum mechanics, particularly through the Schrödinger equation, but do not have classical wave properties associated with color perception. The conversation highlights that color is a physiological concept, not merely a physical one, and that different receptors are sensitive to specific types of waves, further complicating the mapping of color to wavelength.

PREREQUISITES
  • Understanding of quantum mechanics, particularly the Schrödinger equation
  • Familiarity with wave-particle duality of matter
  • Knowledge of physiological optics and color perception
  • Basic concepts of wave properties in different mediums
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  • Study the Schrödinger equation and its implications in quantum mechanics
  • Explore the concept of wave-particle duality in depth
  • Research physiological optics to understand how the human eye perceives color
  • Investigate the properties of waves in various mediums, including sound and light
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Physicists, students of quantum mechanics, optical scientists, and anyone interested in the intersection of physics and human perception of color.

GAURAV DADWAL
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I have read that color of light perceived by us depend on its wavelength since light is wave and also electron has wave like character that means electron has wavelength .Does that mean that electron has a color associated with it . I think its not but why .also I'm not able to understand why does color of light depend on its wavelength
 
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Color is not a physical but a physiological concept, and you cannot simply map color to a frequency in a one-to-one way.

Electrons have quantum character as any matter in the universe but no wave-like properties. In non-relativistic Quantum mechanics a single electron can be described by a complex valued field, obeying the Schrödinger equation (or better Pauli equation if you include spin as you should for the electron), which has wave-like solutions.

However it's not a classical field like, e.g., the electromagnetic field, either. The modulus squared of the wave function rather gives the probability distribution to find the electron at a given place when looking for it at a given time: ##P(t,\vec{x})=|\psi(t,\vec{x})|^2## (here I left out the spin-degree of freedom for simplicity).
 
Sound is also a wave. An elastic wave. Elastic waves induced in solids by thermal motions may have wavelengths all the way down to a few angstroms. Some will be in the range of wavelengths for visible light. However you cannot see them and there is no sensation of color produced by these waves.
Actually even the medical ultrasound nowadays reaches into GHz so the wavelength in water (or tissue) will be in the range of hundreds of nano-meters, same as for visible light. But again, you don't see the colors if they use it to scan the eye.

So the point is that the wavelength is not all it matters. Each receptor (eye included) is sensitive to a specific type of wave.
 
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