Wave function evolution, stationary states and the Schrödinger equation

[NepToon]

These are not homework questions. Review for the test rather; I was wondering if I could get answers or links to any info regarding this set of questions. Thanks in advance.

1) What equation governs the regular time evolution of the wave function? Are there other ways a wave function can evolve (change with time)?
2) What is meant by a "stationary state"?
3) What equation, when solved, gives stationary states for a given potential?
4) What is meant by a state of definite energy? How are stationary states and states of definite energy related?
5) How do you write down the general solution to the TDSE (Time Dependent SE) given the solutions to the TISE (Time Independent SE)?
6) Make sure you know how to use your operators, H, p and x. (These should have hats on them but email will not allow this!)
7) Make sure you know how to calculate expectation values, etc.

 

[dextercioby]

Getting direct answers as you probably want/like is not really in your benefit. These forums or the lecture notes won't be there in the exam with you. My advice is to track down the notions in each of the 5 questions in your notes. (Presumably correct) answers to these questions must be there. Or if the notes are wrong/incomplete, then a book like Cohen-Tannoudji's et al.'s should more than compensate.

 

[Steger]

I don't really know what answer you'd be looking for other than "Learn Basic Quantum Mechanics". Grab a quantum book, read the first chapter.

 

[Fredrik]

We treat all textbook-style questions as homework, even when they're not. So you're going to have to post your attempts to solve these problems before we can help you.

If you have no idea where to begin with one of these problems, it's OK to say that, and we'll help you get started.

 

[dextercioby]

[...] Grab a quantum book, read the first chapter.

That depends on the book, of course. Reading the first chapter in most books will get him acquainted with blackbody radiation, which is not what he needs.