Calculate 1st 3 Energy Levels for Electron in Quantum Well

AI Thread Summary
The discussion focuses on calculating the first three energy levels of an electron in a quantum well with infinite walls and a width of 10 Angstroms. The relevant equation for energy levels is provided, along with constants for mass, width, and reduced Planck's constant. A participant expresses confusion regarding unit conversion, specifically how to interpret the resulting units from the energy equation. It is clarified that the units simplify to Joules, indicating that the calculations are on the right track. The conversation emphasizes the importance of correctly understanding and applying unit conversions in quantum mechanics problems.
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Homework Statement


Calculate the first three energy leveles for an electron in a quantum well of width 10Angstrom
and infinite walls.


Homework Equations



E<sub>n</sub>=\frac{n<sup>2</sup>pi<sup>2</sup>(hbar)<sup>2</sup>}{2mL<sup>2</sup>}

The Attempt at a Solution


m=9.109E-31Kg
L=10E-10m
hbar=1.055E-34
En=n2*6.032E-20

My problem is really with the unit though.

here is what I have

\frac{Kgm<sup>2</sup>}{s}*\frac{Kgm<sup>2</sup>}{s}*\frac{1}{Kg}*\frac{1}{m<sup>2</sup>}=\frac{Kgm<sup>2</sup>}{s<sup>2</sup>}
 
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In TeX, you don't use the sup tags. To get a superscript, use ^, e.g. n^2 for n2.

What's the specific problem you have with the units? A kg m2/s2 is a Joule.
 
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