Electron as a wave - some doubts

AI Thread Summary
The discussion centers on the concept of electrons behaving as waves according to de Broglie's theory. It highlights that an electron's wavelength decreases with increasing energy, and attempts to confine an electron wave near the nucleus leads to a significant increase in energy. This energy can become so high that the nucleus's attractive force is insufficient to retain the electron. The original poster seeks clarification on these points, particularly regarding the implications of wavelength and energy relationships. Understanding these concepts is crucial for grasping quantum mechanics and electron behavior.
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electron as a wave -- some doubts

Homework Statement




While dealing with deBroglie's idea, my book mentions these points
1) The electron is a wave whose length decreases with energy
2) If you try to squash an electron wave closer to the nucleus, the wavelength must get smaller
3) When its wavelength is as small as a nucleus, its energy becomes so great that the attractive force of the nucleus isn't big enough to keep it there

Homework Equations





The Attempt at a Solution


From the first point, i infer that the wavelength decreases if frequency increases.
But i can't understand the rest of the points. Members can help in this regard.
 
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Thanks Spinnor.
 
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