Electron in a box - calculate the spring constant

AI Thread Summary
The discussion revolves around calculating the spring constant for an electron in a box with given energy levels of 1.5 eV and 2.1 eV. The energy levels are determined using the formula E[n]=n^2*E[0], leading to the identification of quantum levels 5 and 6. The equation for E[0] is provided, which involves Planck's constant, mass, and the length of the box. A participant questions how the spring constant relates to the wave equation and its time dependence. The conversation emphasizes the connection between quantum mechanics and classical mechanics in this context.
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Homework Statement


Electron in a box has 2 sequential energy levels of 1.5 eV and 2.1 eV
Calculate the spring constant


Homework Equations


E[n]=n^2*E[0]
Therefore, 2.1/1.5 = 1.4 = (6^2)/(5^2) and the quantum levels are 5 and 6
E[0] = (h^2)(pi^2)/2(m)(L^2)

The Attempt at a Solution


What is the "spring constant" for the wave equation??
 
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I think the question is connected to the time dependence of the wave function, but I am not sure...

ehild
 

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