Understanding Energy Bands in Solids: Conduction, Insulators, and Semiconductors

  • Context: High School 
  • Thread starter Thread starter bluecap
  • Start date Start date
  • Tags Tags
    Energy
Click For Summary
SUMMARY

The discussion centers on the energy band theory in solids, specifically focusing on conduction bands, insulators, and semiconductors. Participants emphasize the significance of the wave function in determining the probability density (psi^2) of electron positions within these bands. The conversation highlights that while energy bands are crucial for understanding electron behavior, the energy Hamiltonian plays a more critical role than merely positional aspects in defining these bands.

PREREQUISITES
  • Understanding of energy band theory in solids
  • Familiarity with wave functions in quantum mechanics
  • Knowledge of the concepts of conduction bands, insulators, and semiconductors
  • Basic grasp of the energy Hamiltonian in quantum systems
NEXT STEPS
  • Research the mathematical formulation of wave functions in quantum mechanics
  • Explore the role of the energy Hamiltonian in solid-state physics
  • Study the differences between conductors, insulators, and semiconductors in detail
  • Learn about the implications of probability density (psi^2) in electron behavior
USEFUL FOR

Physicists, materials scientists, and students studying solid-state physics who seek to deepen their understanding of electron behavior in different materials.

bluecap
Messages
395
Reaction score
13
In energy band concept in solids.. they mostly mentioned about the conduction band or insulator or semiconductor concepts. They don't mention about probability of the electron positions (psi^2). So in solids.. can we say the electrons have more probability to be in wider energy range? Is this in positions observable or energy?
 
Physics news on Phys.org
bluecap said:
In energy band concept in solids.. they mostly mentioned about the conduction band or insulator or semiconductor concepts. They don't mention about probability of the electron positions (psi^2).
There is a wave function associated with each point of the energy band and by the wave function you can determine the probability of an electron being in a specific position.
 
hokhani said:
There is a wave function associated with each point of the energy band and by the wave function you can determine the probability of an electron being in a specific position.

But is it not the energy band has to do more with the energy Hamiltonian of the electron than position?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 83 ·
3
Replies
83
Views
8K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K