Does an electron have a continous range of energies?

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Electrons do not have a continuous range of energies; their energy levels are quantized, particularly in bound systems like atoms. The solution to Schrödinger's equation provides the wave functions that describe the probability distributions of an electron's position and energy levels. In free space, electrons can exhibit a range of energies, but in bound states, such as within an atom, they occupy discrete energy levels. The concept of energy bands in solid-state physics illustrates how electrons can have continuous energy ranges in certain conditions, like in conduction bands. Understanding these principles is crucial for grasping quantum mechanics and electron behavior.
melissajohn
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i have two questions...


does an electron have a continuous range of energies? I think the answer is no. am i right?

and also... what does the solution of the schrodinger's equation provide?
 
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melissajohn said:
i have two questions...


does an electron have a continuous range of energies? I think the answer is no. am i right?

and also... what does the solution of the schrodinger's equation provide?

I think you have a severe misunderstanding of how something can acquire energy. The energy of any electron (or any particle for that matter) depends on where it is, or what situation it is in. The energy of the emitted electrons out of a photo electric effect experiment is certainly NOT discrete. Look at any photoemission experiment. This is because the conduction band is, by definition of a "band", is continuous.

Zz.
 
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