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

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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?

 

[hokhani]

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.

 

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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?