Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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book:chap5:5.2_collisions_of_particles [2022/01/04 05:05] – [5.2.4 Self Test] abrilbook:chap5:5.2_collisions_of_particles [2022/01/04 05:12] (current) – abril
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-FIXME draft with missing figures and references :!: 
- 
 ===== 5.2  Collisions of hard-ball particles  ===== ===== 5.2  Collisions of hard-ball particles  =====
 <WRAP id=section_particleScattering /> <WRAP id=section_particleScattering />
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 ==== 5.2.4 Self Test ==== ==== 5.2.4 Self Test ====
  
-<WRAP 120pt right #fig_HardBallScatteringAngle> +<WRAP 140pt right #fig_HardBallScatteringAngle> 
-{{EOM_HardBallScattering_TrajectoryShape.png}} +{{EOM_HardBallScattering.png}}
-{{EOM_HardBallScattering_ScatteringAngle.png}}+
  
 Figure 5.7: Collision of two hard-ball particles with radii $R_1$ and $R_2$: Figure 5.7: Collision of two hard-ball particles with radii $R_1$ and $R_2$:
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 **d)** What happens when $L^2 > 2\mu \, E \, (R_1+R_2)^2$? Which angle $\theta$ will one observe in that case?\\ **d)** What happens when $L^2 > 2\mu \, E \, (R_1+R_2)^2$? Which angle $\theta$ will one observe in that case?\\
  
-**e)** :!: Show that [[#eq_HardBallScatteringAngle |Equation 5.1.1]] and [[#eq_CoulombScatteringAngle |Equation 5.2.2]] agree when one identifies+**e)** :!: Show that [[#eq_HardBallScatteringAngle |Equation 5.2.2]] and [[book:chap5:5.1_motivation_and_outline #eq_CoulombScatteringAngle |Equation 5.1.1]] agree when one identifies
 the length scale $R_1+R_2$ of the hard-ball system with the distance $R_{\text{eff}}$ of symmetry point of the cone section from the origin, i.e., with the mean value of the two intersection points with the $\hat x$-axis the length scale $R_1+R_2$ of the hard-ball system with the distance $R_{\text{eff}}$ of symmetry point of the cone section from the origin, i.e., with the mean value of the two intersection points with the $\hat x$-axis
 \begin{align*}  \begin{align*} 
book/chap5/5.2_collisions_of_particles.1641269135.txt.gz · Last modified: 2022/01/04 05:05 by abril