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| == Questions and answers about the lecture or lecture notes == | == Questions and answers about lectures 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
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.