Thank you! But why is it that ‚the velocity you are trying to define has nothing to do with any velocity that could has been ascribed to the particle prior the first position measurement‘? Is that only a problem arising due to measurement ‚inperfection‘? This would be unsatisfying.
Thank you, this is helping me a lot! But I don’t understand another thing: If I measure the energy of an electron, how do I know in wich state (e.g. a superposition of eigenstates) it was before? For example: Could it be that a single electron in hydrogen is in a superposition of 1s and 2s...
Hello everyone! I have two questions wich had bothered me for quite some time. I am sorry if they are rather trivial.
The first is about the general solution of the hydrogen atom schrödinger-equation: We learned in our quantum mechanics class that the general solution of every quantum system is...
Thank you! But would this mean, that the following is true:
So let’s say, that we have two masses m1, m2. Mass m1 is accelerated toward m2 with a magnitude of
$$a1=G\frac{m2}{r^2} $$
And then also m2 would be accelerated by
$$a2=G\frac{m1}{r^2} $$
So the acceleration of the approaching of both...
Hello everyone.
Probably this question is trivial, but nevertheless I am confused about newtons law of motion:
$$F=G\frac{m_1m_2}{r^2}$$
Now, some sources say, that F is the force between the two masses m1 and m2. Other sources say, that F is the force that m1 exhibits on m2. But isn’t this a...
Yes, that’s absolutely right. I have a mistake in my calculation above. So here is what I think:
Let’s talk about only one sort particle:
H=U+pV=ST-pV+N##\mu##+pV=ST+N##\mu##
So if H is really ST+N##\mu## than
d(H-ST-N##\mu##)=0
This is true because of Gibbs dulem...
I have also ignored it in the definition of H=U-pV. U has the chemical potential in it. If I make the calculation with the chemical potential from the beginning on I get: d(H-TS)=Vdp-SdT-N##\mu## wich is zero.
Thanks!
In my thermodynamics lecture notes, I can not find a indication that this only applies if T and P are constant. It is derived in a similar way like here: https://ps.uci.edu/~cyu/p115B/LectureNotes/Lecture6.pdf
Edit:
Could following be true: If H actually is TS than it follows...
Thanks for your awnser!
I know that the integration is in general not that trivial, but in this case it is. This is due to eulers homogeneous function theorem. See the Wikipedia article (https://en.wikipedia.org/wiki/Internal_energy) in section ‘internal energy of multi component systems‘.
Hello everyone!
I have a course in thermodynamics this year, and there is a question about enthalpy that I cannot answer: given the definition of enthalpy H=U+PV and the integral form of the internal energy U=TS-PV we conclude that H=TS.
We normally say that enthalpy equals the heat exchanged in...
Thank you very much, this is helping me a lot! Unfortunately I am very inexperienced in this topic.
At one hand, the step size 10^6 would be optimal from a theoretical standpoint (the Lorenz section would (if plotted in the right way) represent a u-sequence). On the other hand result of stepsize...