This question was inspired by 3c) on https://people.phys.ethz.ch/~muellrom/qm1_2012/Solutions4.pdf
Given the operator
\hat{B} = \left(\matrix{b&0&0\\0&0&-ib\\0&ib&0}\right)
I find correctly that the eigenvalues are \lambda = b, \pm b.
To find the eigenvectors for b, I do the following...
Thank you for your reply!
No reason to, or it actually can't be done? If it can be done, I'd love to see the process, as it would help with my intuition a lot.
How can you tell when \otimes should be interpreted as a tensor product to be expanded and when it should be interpreted another way...
I'm having trouble with the mathematics of tensor products as applied to Bell states.
Say I have the state
\begin{align*}
\left|\psi\right> &= \frac{1}{\sqrt{2}} \left(\left|0\right>_A \otimes \left|0\right>_B + \left|1\right>_A \otimes \left|1\right>_B\right)
\end{align*}
How would the...
Why is ##\bar{\psi}=e^{i\theta}\psi##, where ##\theta## is a real number, used as the global gauge transformation? Why ##e^{i \theta}##; what's the physical significance or benefit?
Why is ##\bar{\psi} = e^{i \theta(x)} \psi## the local gauge transformation? What does ##\theta## being a...