Finding the 10 lowest energy levels

[Mason Smith]

Homework Statement

Homework Equations

The Attempt at a Solution

I understand the equation, and I understand the concept. My question is this: What is the best way to go about solving this problem? My line of reasoning concludes that the fourth lowest energy level is E₂₁₁. However, the fourth lowest energy level is E₁₁₃. Is there a code that I could write that would show the result of trying every integer for the three quantum numbers?

 

[phyzguy]

You could certainly write a code to do this. You could just calculate the energy for, say n1, n2, n3 <10, then order them from lowest to highest. Do you have any coding experience? If not, this would be a good learning project. I would recommend Python for doing this. This site has a good online tutorial for learning Python.

 

[Mason Smith]

You could certainly write a code to do this. You could just calculate the energy for, say n1, n2, n3 <10, then order them from lowest to highest. Do you have any coding experience? If not, this would be a good learning project. I would recommend Python for doing this. This site has a good online tutorial for learning Python.

I have some coding experience with Python. I will be sure to look at the site that you mentioned. Thank you for the suggestion! How would you recommend starting the code?

 

[phyzguy]

I have some coding experience with Python. I will be sure to look at the site that you mentioned. Thank you for the suggestion! How would you recommend starting the code?

This is pretty simple code. Rather than me writing it for you, I suggest you make an attempt, post it here (use the code tags - see the + sign above and the example below) and we will critique it for you.

print("Hello world")

 

[Mason Smith]

This is pretty simple code. Rather than me writing it for you, I suggest you make an attempt, post it here (use the code tags - see the + sign above and the example below) and we will critique it for you.

print("Hello world")

Alright. That sounds fair. I think that I will attempt the code this weekend, but in the meantime, I made a list of numbers in Microsoft Excel, then computed the 10 lowest energy levels (i.e., the 10 least multiples of E₀). It provided the correct answer.