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== Questions and answers about the lecture or lecture notes == == Questions and answers about lectures or lecture notes ==
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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
  $\psi^*$ 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.
[[Wave function, Hamiltonian]]

Questions and answers about lectures or lecture notes

Wave function, Hamiltonian