Diff for "Lecture+"

⇤ ← Revision 3 as of 9:23PM, Apr 11, 2011 →

Size: 1106

Editor: Sam

Comment:

← Revision 6 as of 9:21AM, Apr 29, 2011 → ⇥

Size: 61

Editor: Sam

Comment:

Deletions are marked like this.

Additions are marked like this.

== Questions and answers about the lecture or lecture notes ==

Question
  hello
  i'm reading through the lecture notes and i have some questions.

  first, what is meant by $\psi^*$? i think ive seen that before but i do not remember and its not in any of my notes. is it the wave function of a particle moving in the opposite direction as $\psi$?

Answer
  First of all, Kudos for reading and asking questions! $\psi^*$ is literally the complex conjugate of $\psi$. The physical meaning is actually exactly as you say! Moving in the opposite direction! A more correct way to say it is the time-reversed state.
  However, just knowing "complex conjugate" is fine at this point.

Question
  also, is the hamiltonian operator just the energy of the system? i have never heard of it before this class.

Answer
  It could be that it was shown with the Schrodinger equation, and the meaning was not let known.
  TISE (time-independent Schrodinger equation): $H \psi = E \psi$.
  $H$ is the QM operator for energy. The eigenvalue of $H$ or the expectation value of $H$ is the energy.

== Questions and answers about lectures or lecture notes ==

-  ⇤ ← Revision 3 as of 9:23PM, Apr 11, 2011 → 
  Size: 1106
  Editor: Sam
  Comment:
+   ← Revision 6 as of 9:21AM, Apr 29, 2011 → ⇥
  Size: 61
  Editor: Sam
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
 Line 1:
-== Questions and answers about the lecture or lecture notes ==

Question
  hello
  i'm reading through the lecture notes and i have some questions.
 
  first, what is meant by $\psi^*$? i think ive seen that before but i do not remember and its not in any of my notes. is it the wave function of a particle moving in the opposite direction as $\psi$?

Answer
  First of all, Kudos for reading and asking questions!  $\psi^*$ is literally the complex conjugate of $\psi$.  The physical meaning is actually exactly as you say!  Moving in the opposite direction!  A more correct way to say it is the time-reversed state.
  However, just knowing "complex conjugate" is fine at this point.
 
Question
  also, is the hamiltonian operator just the energy of the system? i have never heard of it before this class.

Answer
  It could be that it was shown with the Schrodinger equation, and the meaning was not let known.
  TISE (time-independent Schrodinger equation): $H \psi = E \psi$.
  $H$ is the QM operator for energy.  The eigenvalue of $H$ or the expectation value of $H$ is the energy.
+== Questions and answers about lectures or lecture notes ==