Liouville operator time dependency

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SchroedingersLion
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Hi guys,

I have a two questions concerning basics of classical mechanics.
It is to my current computational physics lecture. As I don't know how to write formulas here, I had to include the equations and the situation as a picture.

Handwritten-style typed notes on classical many-particle dynamics: phase-space vector eta(t) with positions q and momenta p for N particles, the Liouville equation d/dt eta = alpha eta with alpha = sum of q-dot dq plus p-dot dp, and the formal solution eta(t) = exp(alpha t) eta(0) with its series expansion.


I would appreciate the answers.

Regards

edit: quality sucks a little bit, sorry about that ~~
 
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  • Handwritten-style typed notes on classical many-particle dynamics: phase-space vector eta(t) with positions q and momenta p for N particles, the Liouville equation d/dt eta = alpha eta with alpha = sum of q-dot dq plus p-dot dp, and the formal solution eta(t) = exp(alpha t) eta(0) with its series expansion.
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SchroedingersLion said:
Hi guys,

I have a two questions concerning basics of classical mechanics.
It is to my current computational physics lecture. As I don't know how to write formulas here, I had to include the equations and the situation as a picture.

View attachment 225041

I would appreciate the answers.

Regards

edit: quality sucks a little bit, sorry about that ~~
You can use LaTeX to write formulas.
 
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tnich said:
You can use LaTeX to write formulas.
Thanks for the hint. I will use Latex next time.