Ground state energy of an electron

May 2017
1
0
Hi, I have this exercise that I dont understand and I may need some help:
Find the width L of one dimensional box (infinite square well) for which the ground state energy of an electron in the box equals the absolute value of the ground state in hydrogen atom. Express the units of Bohr radius a0=0.5*10^(-10)m.

Thanks
 

Pmb

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Hi, I have this exercise that I dont understand and I may need some help:
Find the width L of one dimensional box (infinite square well) for which the ground state energy of an electron in the box equals the absolute value of the ground state in hydrogen atom. Express the units of Bohr radius a0=0.5*10^(-10)m.

Thanks
The problem is that of a particle in a box which is quite a common exercise problem in quantum mechanics. It's described here: https://en.wikipedia.org/wiki/Particle_in_a_box

The energy levels of the particle in box are determined by the width of the box and the mass of the particle. All you need to do now is exactly what the problem states. Post the steps you need to do that and ask a question where you get lost.