Thank you George! I read the entire thing and was never board. It is quite interesting! I hope other people have time to read it also and to initiate some healthy discussion. There may be some errors rough patches that people will like to comment on or clarify? I hope this initiates a vigorous and fruitful discussion.
Understanding the phenomenology of this approach will really help us to understand, contextualize and appreciate the temperature dependence that we can get with a Matrix approach. Perhaps temperature dependence can provide an unusual and powerful way to "observe*", study and quantify localization.
* Through numerical simulation in the context of a model.
Wow, fantastic post! I'll try to input some meaningful values to what you've found tomorrow before class. I wonder, are the graphs you plotted normalized correctly? I'm not sure if the maxima should be at 1 or 0.01...
I really like this post George! It is easy to follow your thoughts and the result is very interesting. I have one question, at the very end of the Introduction-part you say "to tackle this problem we will need to combine multiple eigenstates of different energies...". With combine multiple eigenstates of different energies, do you mean a combination of all possible eigenstates? Is that what you mean when you say "all desirable eigenstates" in the Main Course-part?
Thank you George! I read the entire thing and was never board. It is quite interesting!
ReplyDeleteI hope other people have time to read it also and to initiate some healthy discussion. There may be some errors rough patches that people will like to comment on or clarify? I hope this initiates a vigorous and fruitful discussion.
Understanding the phenomenology of this approach will really help us to understand, contextualize and appreciate the temperature dependence that we can get with a Matrix approach. Perhaps temperature dependence can provide an unusual and powerful way to "observe*", study and quantify localization.
* Through numerical simulation in the context of a model.
Wow, fantastic post! I'll try to input some meaningful values to what you've found tomorrow before class. I wonder, are the graphs you plotted normalized correctly? I'm not sure if the maxima should be at 1 or 0.01...
ReplyDeleteI would suggest maybe start with an initial packet width or around 1 nm, and put the units of the wave-function in \(nm^{-1/2}/).
ReplyDeleteI would suggest maybe start with an initial packet width or around 1 nm, and put the units of the wave-function in \(nm^{-1/2}\).
ReplyDeleteI really like this post George! It is easy to follow your thoughts and the result is very interesting.
ReplyDeleteI have one question, at the very end of the Introduction-part you say "to tackle this problem we will need to combine multiple eigenstates of different energies...". With combine multiple eigenstates of different energies, do you mean a combination of all possible eigenstates? Is that what you mean when you say "all desirable eigenstates" in the Main Course-part?