Schrodinger in a weak periodic potential

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SUMMARY

The discussion centers on the interpretation of c-coefficients in the context of Schrödinger's equation within a weak periodic potential. Participants clarify that Vg represents the amplitude of the periodic potential, while V-g denotes the amplitude of the periodic potential in the subsequent Brillouin Zone. Understanding these coefficients is crucial for analyzing wave functions in solid-state physics and their implications in band structure theory.

PREREQUISITES
  • Familiarity with Schrödinger's equation
  • Understanding of periodic potentials in quantum mechanics
  • Knowledge of Fourier series expansion
  • Basic concepts of Brillouin Zones in solid-state physics
NEXT STEPS
  • Study the implications of Fourier series in quantum mechanics
  • Explore the concept of Brillouin Zones in solid-state physics
  • Learn about the role of periodic potentials in band structure theory
  • Investigate the physical significance of wave function coefficients in quantum systems
USEFUL FOR

Physicists, quantum mechanics students, and researchers in solid-state physics seeking to deepen their understanding of periodic potentials and their effects on wave functions.

Waxterzz
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Hi,

I have problems figuring out what both c-coefficients means.

Can someone explain this in a conceptual way?

Also, Vg and V-g are the coefficients of the Fourier series if you expand V, but what does it mean physically?

Thanks in advance.
 
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Vg is just the amplitude of your periodic potential, isn't it? :)

(my god)

And V-g, the amplitude of periodic potential in the next Brillouin Zone?
 

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