McMaster student

Okay I am trying to get a deeper understanding of the principles of quantum mechanics. Let's say I have a harmonic oscillator. Classically if the particle starts at rest at some displaced position, it will oscillate forever changing its potential and kinetic energy (momentum). Ignore any losses. Now I want to see how this would happen quantum-mechanically. So I represent the displaced particle with say a gaussian packet centered at that location. Now, the way I understand it, the system evolution will happen in accordance with the evolution of the eigenstates. If I decompose the wave packet, I will get definite amplitudes in each eigenstate right ? those constants should never change throughout the evolution cuz no losses or gains of energy right ? Okay if that is so, How would the average momentum of the particle ever change in time ? each of those eigenstates has a unique momentum spectrum regardless of time right ? so the average momentum of the wave packet will not change throughout the evolution. What am I missing ? where is my wrong assumption ? THanks !

Okay I am a PhD student. Engineering background. I know my basics: probability, ODEs, Fourier transform, some linear Algebra, ...etc

Now I am working on modeling nanowires and anything I read is pure gibberish. Even when I go to introductory books or papers. I just cannot follow at all. Can someone please tell me in sequence what should I know to understand these things ? some keywords that I often encounter are: Non-Equilibrium Green's functions, Fermi's golden rule, Brillouin zones, Feynmann paths, Boltzmanns transport equation, ...etc

Please help ! I need some references that are good for someone of my level. I am delving into deep physics without a clue :s

I don't deserve a bad life. I never hurt anyone in my life. I was always helpful to other people in whatever they wanted. I am extremely smart and educated (pursuing my Ph.D. at the moment). My grades have all been A+ for the past 9 years. People always tell me that I should even work for NASA or go to MIT. I am 29. I have never had bad intentions to any person/nation/group, or anything whatsoever. Any person who have interacted with me knows me as a decent, helpful, and smart person. I was never a show-off even though I know what I have been given in terms of smarts. However, I am the subject of hatred by nations (yes all of them). I am a citizen of a country considered by many to be (crappy and evil). Problem is, I was never born in that country or speak its language. The country I was born in does not want to give me its citizenship. I wanted to go to the US but they will not grant me a visa. I am currently in Canada, but even Canada has been delaying my application for immigration (5 years now). I can't even find a decent relationship because I am so occupied with these thoughts of "where will I live after being kicked out of here?", or " will any country even welcome me?". Earth is so large yet it is extremely small for me. I am not eligible for any medical/social benefits or any academic scholarships despite my accomplishments. I have a patent, I have published journals. I am supposed to be a successful person if it weren't for this passport that I carry that makes me sinister and evil. I have gone from being a happy, loving, and social person to someone that is isolated, full of spite and disappointment, and someone who feels he fits with noone, not even his own "people" because he does not speak their language, and not even the people he grew up with because they are so racist. I feel sad all the time. When I look at anyone on the street all I think of is how blessed this person is and how unfortunate I am. I know everyone has problems. I just wish I could find some happiness in life. I did the "keep believing" thing for 10 years now. My best years in life, my twenties, are only filled with bad memories and depression. See a psychiatrist ? what can a psychiatrist do ? can he/she solve my problem or will they just give me a pat on the shoulder and prescribe me prozac ?

Okay so he is supposed to be my closest friend. I have known him for years and we owe each other alot. However, two things now bother me so bad about him: 1) When we are around female friends, he is just too flirty with all of them, in a manner that makes me and other people very uncomfortable. He has alot of money and spends it like crazy on girls, with the result that he is seen as the "normal" person, and we are seen as "not very social", just because I dont randomly pour money in girls' pockets. 2) Even around guys, he likes to show that he is on top of everything. That he is the main organizer of stuff. That he has everyone figured out but he is a mystery to eveyone, and that he is "just being nice". I know what just being nice is, and thats not it. I dont go out with friends when he is out with them because I cant stand his attitude. I would do anything to make new friends that are not his friends so that he wont ride all over them and leave me in the dark. What should I do ?