Effect of Negative permittivity?

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    Negative Permittivity
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SUMMARY

The discussion centers on the concept of negative permittivity in quantum theory, specifically how it affects probability densities. It is established that a negative permittivity value, such as -1, can occur, particularly in the context of surface plasmons. This phenomenon typically arises just above a resonance point where polarization is out of phase with the driving field. The classical driven harmonic oscillator model provides a foundational understanding of this behavior.

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  • Quantum theory fundamentals
  • Understanding of permittivity and its implications
  • Knowledge of surface plasmons
  • Familiarity with classical driven harmonic oscillators
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  • Explore the implications of negative permittivity on electromagnetic wave propagation
  • Study the relationship between polarization and permittivity in quantum systems
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Physicists, materials scientists, and researchers in quantum mechanics seeking to understand the implications of negative permittivity on wave behavior and material properties.

indio007
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Does anyone know how quantum theory accounts for a ε value that is negative?
Wouldn't this change probability densities?
 
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indio007 said:
Does anyone know how quantum theory accounts for a ε value that is negative?
Wouldn't this change probability densities?

You can have a negative permittivity, no problem. For example, an implicit equation for the dispersion of surface plasmons is given by setting the (frequency and wavelength dependent) permittivity to -1.
 
Usually a negative permittivity arises just above a resonance where the polarization is 180 degree out of phase with the driving field. This can already be understood in the case of a classical driven harmonic oscillator.
 

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