Recent content by Oliver321

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    I General solution of the hydrogen atom Schrödinger equation

    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.
  2. O

    I General solution of the hydrogen atom Schrödinger equation

    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...
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    I General solution of the hydrogen atom Schrödinger equation

    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...
  4. O

    B Gravitational force between two masses

    Thank you all, I think I do understand!
  5. O

    B Gravitational force between two masses

    Thanks for the awnser. But why not? Isn’t the force on m1 the same as on m2 because of Newton’s third law? Thank you!
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    B Gravitational force between two masses

    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...
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    B Gravitational force between two masses

    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...
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    Confusion about Enthalpy

    Thank you!
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    Confusion about Enthalpy

    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...
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    Confusion about Enthalpy

    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.
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    Confusion about Enthalpy

    But Vdp-SdT=0 because of the Gibbs Dulem relation (I am ignoring the chemical Potential)
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    Confusion about Enthalpy

    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...
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    Confusion about Enthalpy

    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‘.
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    Confusion about Enthalpy

    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...
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    Problem in solving differential equation

    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...
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