I am referring to theory. I may have posted this in the wrong category as well, I'm not sure. But I'm trying to prove that some given state is not an eigenstate of some given operator. I'm doing this all in Dirac notation and matrix representation. So, should I start with the eigenvalue equation...
That might be my question (although I didn't realize it). Here is what I did,
\int \psi^* \frac{\partial^3 \psi}{\partial x^3}dx=-\int \frac{\partial^2 \psi}{\partial x^2} \frac{\partial \psi^*}{\partial x}dx I used the product rule for the integrand on the left hand side of the equation to...
Homework Statement
I am unsure if the first statement below is true.
Homework Equations
\frac{\partial \psi^*}{\partial x} \frac{\partial^2 \psi}{\partial x^2}=\frac{\partial^2 \psi}{\partial x^2}\frac{\partial \psi^*}{\partial x} Assuming this was true, I showed that \int \frac{\partial...
I intended for the original question you had answered about AB=BA for any real number. I was assuming that the second derivative had acted on f and the first derivative had acted on g.
Homework Statement
I would just like to know if this statement is true.
Homework Equations
\frac {\partial^2 f}{\partial x^2} \frac{\partial g}{\partial x}=\frac{\partial g}{\partial x} \frac {\partial^2 f}{\partial x^2}
The Attempt at a Solution
I've thought about this a bit and I haven't...
Well, thank you for portraying to me that I am incorrect in my thinking, as I was clearly under the wrong assumption that what I did was mathematically valid. Would you mind explaining why what I have done is incorrect?
Whoops, I have just one more question actually just to clear things up. Am I allowed to do something like this,
\frac{\partial \psi}{\partial x}\frac{\partial^2 \psi^*}{\partial x^2}+\frac{\partial \psi^*}{\partial x} \frac{\partial^2 \psi}{\partial x^2}=\frac{\partial}{\partial...
Homework Statement
In Griffiths Introduction to Quantum Mechanics textbook, he shows that for any wave function that is time-dependent (which implies that the state of any particle evolves with time), the wave function will stay normalized for all future time. There is a step in the proof that...
I think I may have used poor communication here. I understand very well that the theory tells you it is not possible for any object with a rest mass to move at c. I think my question,
was a little ambiguous. So the theory applies to light because it correctly predicts the behavior of light and...
In the original post, S_David asks how long it would take for a person on a spaceship to travel one light year, not to an observer on the Earth. This led me to believe that we want to know how long the trip takes relative to the ship observer. The original post does not explicitly state that the...