Recent content by renec112

  1. The Physics of coffee cooling

    The Physics of coffee cooling

    The physics of how to cool down your cup of coffee or tea fastest. Sponsored by Brilliant: https://brilliant.org/HiggsinoPhysics Stirring vs blowing vs cooli...
  2. Can you jump in artificial gravity? - 5 Popular physics questions explained

    Can you jump in artificial gravity? - 5 Popular physics questions explained

    Physics challenges. 5 Popular questions answered.
  3. The Physics of superconductors

    The Physics of superconductors

    How a superconductor works. Everything from the physics and some of the history as well.
  4. Intuitive understanding of entropy

    Intuitive understanding of entropy

    Entropy and the thermodynamics second law dictates what direction heat flows. Why does heat flow from warm to cold and not the other way
  5. Time dilation - animation

    Time dilation - animation

    The speed of light and black holes. What happens when at the speed of light? What about a black hole? This video explains how time dilations works.
  6. renec112

    Free particle: expectation of x for all time with Ehrensfest

    Oh right.. I think i misunderstood the question then. I need to find ##< x(t)> ## for all later times. But i can't see, how i can find that.. You are saying ##\frac{d<x>}{dt} \neq < x(t)> ## I am not sure why i should fine ##< x >## I can see it's a part of the equation, but why does it give...
  7. renec112

    Free particle: expectation of x for all time with Ehrensfest

    Thanks for helping me :) Its ##p = mv## off course. Oh i so the m' cancels and i am left with only ##<x>##... Nice trick ! Thank you :)
  8. renec112

    Free particle: expectation of x for all time with Ehrensfest

    ## v = \frac{1}{2} m v^2## ## = \frac{m^2v^2}{2m}## ## = \frac{p^2}{2m}## ## \Rightarrow p = \sqrt{2 v m}## Like this?
  9. renec112

    Free particle: expectation of x for all time with Ehrensfest

    Oh I see. That's very smart. This is what i did: ##\frac{d<x>}{dt} = \frac{i}{\hbar} <[H,x]>## insert hamilton ##= \frac{i}{\hbar} <[P^2/2m,x]>## ##= \frac{i}{2 m \hbar } <[PP,x]>## ##= \frac{i}{2 m \hbar } <P[P,x]+[P,x]P>## ##= \frac{i}{2 m \hbar } <-P[x,P]-[x,P]P>## ##= \frac{i}{2 m \hbar }...
  10. renec112

    Free particle: expectation of x for all time with Ehrensfest

    Actually when you say it like that.. I guess i thought in ## H = \frac{p^2}{2m} = \frac{\hbar}{2m}\frac{\partial^2}{\partial x^2}## the ##p## is just a constant but off course it's an operator: ##p = i \hbar \frac{\partial}{\partial x}## I guess the only thing to do is to differentiate a couple...
  11. renec112

    Free particle: expectation of x for all time with Ehrensfest

    Hello physics forums. I'm trying to solve an old exam question. Would love your help. Homework Statement A free particle in one dimension is described by: ## H = \frac{p^2}{2m} = \frac{\hbar}{2m}\frac{\partial^2}{\partial x^2}## at ##t = 0## The wavefunction is described by: ## \Psi(x,0) =...
  12. renec112

    QM: Issues with parity of spherical harmonics and Heisenberg

    Okay i think i understand so we are calculating: ##\sigma_x \sigma_{L_x} \geq |\frac{1}{2i} <[x,L_x]>| ## and not: ##\sigma_x \sigma_{L_z} \geq |\frac{1}{2i} <[x,L_z]>| ##? Thank you for helping me.
  13. renec112

    QM: Issues with parity of spherical harmonics and Heisenberg

    Me and my group had a laugh at this, we are just finished doing it and it was very nasty indeed :D Thank you very much for the comment. - You mean ## <\sigma_{L_z}^2> ## and not ## <\sigma_{L_x}^2> ## Right? We have actually calculated ##<L_z## and ##<L_z^2>## from another task. We did it...
  14. renec112

    QM: Issues with parity of spherical harmonics and Heisenberg

    Hi physics forms! I'm practicing to for an Quantum mechanics exam, and i have a problem. 1. Homework Statement I have two problems, but it's all related to the same main task. I have a state for the Hydrogen: ## \Psi = \frac{1}{\sqrt{2}}(\psi_{100} + i \psi_{211})## where ## \psi_{nlm}##...
  15. renec112

    Probability distribution momentum for particle

    Off course! Thanks for being so patient with me. Now it works out :)
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