It seems that doing Quantum Mechanics at bedtime is more preferable. Maybe Feynman was right when he said that if someone claims to understand QM, he doesnot know it.
I have never been able to gain as much insight when doing it seriously than what I am gaining by doing it at bedtime these days (if there really is a bedtime for me, I usually sleep besides my PC). It really provides me with an interesting real world bedtime story which is as exotic and esoteric as a well written mystery. Infact it is still a mystery.
This is the first time I have been able to understand the real difference between wave functions and eigen functions. Thought they really were the same with a minor difference. But infact they are a lot more different than I thought.
Eigen functions, it seems, only arise as solution artifacts to partial differential equations. The wave function is something more profound, more intelligent than an eigen function and tells a lot more about the system than a mere eigen function. Whoops !! I still dont understand it well. Hope Feynman was right on target.
The ramblings of a disgruntled geek!!