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I have three properties:
If $\hat{A}$ and $\hat{B}$ are Hermitian operators. Then $\hat{A}\hat{B}$ is Hermitian provided $\hat{A}$ and $\hat{B}$ also commute $[\hat{A},\hat{B}]=0$
If $\hat{A}$ and $\hat{B}$ are Hermitian operators and $\hat{A}$ and $\hat{B}$ also commute, then $\hat{A}+\hat{B}$...
In DJ Griffiths' ''Introduction to Quantum Mechanics" to describe an unstable particle that spontaneously disintegrates he assumed an imaginary part in the potential. What does that signify? What is meant by an imaginary potential?
I have added the image of the problem.
Given the Hamiltonian:
$$H = \omega \left(|0\rangle \langle1| + |1\rangle \langle0| \right) = \begin{bmatrix}
0 & \omega \\
\omega & 0
\end{bmatrix}$$, I want to find the final state $\rho(t_f)$of the given density operator:
$$\rho(0) =|0\rangle \langle0| = \begin{bmatrix}
1 & 0 \\
0 & 0
...
just want to clear something up.
Take a ball that's been dropped to the ground. Gravity acts and this ball as it has mass and then the ball now moves to the ground with a constant force of say ($X$).
Now when the ball makes contact with the ground, Newtons 3'rd Law takes effect (no air resistance...
When a gravitational wave passes through a region of space (which may be, or may not be, empty), does it deposit energy (in any form) in that region of space? A frivolous version of this question might be: "Can I boil water by waiting for gravitational waves to heat it?"
I'm trying to wrap my head around inertia/velocity, or just change in general, I guess. I'm unsure exactly sure were my gap is, or what question to ask, so I'll explain with a scenario.
Lets say I'm an insubstantial observer inside a flawless virtual simulation of our universe, watching two ident...
I just watched this video where it is explained how time dilation causes gravity. It is said in this video that time dilation (caused by masses such as the earth) is the only cause for gravity.
But then, what about the curving of space? Does this not contribute to gravity (by objects following th...
Page no. $5$ in Many-Body Theory Exposed! by Willem H Dickhoff & Dimitri Van Neck states the following:
The complex vector space, relevant for N particles, can be constructed as the direct product space of the corresponding state spaces [Messiah (1999)].
Whereas Wikipedia says :
the state spa...
