Movies of Wavepacket-Wavepacket Quantum Scattering

Classic Figure, Schiff's QM (now just a CP applet);	or Wavepacket - Wavepacket Interactions?

Numerical solution of 2-particle time-dependent Schroedinger equation (usually 1-particle)

Two-particle density uses split times (Visscher's technique)

2-Particle Densities (conceptually challenging):

• m-10m (barrier-like)
• m-m, KE=-V/4 (1-particle densities below)
• m-m antisymmetrized, KE=-V/4 (1-particle densities below)

  One-particle densities obtained by integrating out other particle:

  

  Movies: rho₁ & rho₂ vs time, Square 1-2 Potential

  • Barrier and Well "Like" Collision (m₂=10 m₁)
    • Attractive, KE = -V/2, 349K gif (transmit, small reflect, fission), selected frames, mov, mp4
    • Attractive, KE = -2*V, 349K gif (transmit, fission, reflect, fission), selected frames, mov , mp4
    • Repulsive, KE = +V/2, 352K gif (reflect, recoil, no transmit), selected frames, mov , mp4
    • Repulsive, KE = +2*V, 268K gif (reflect, transmit, fission), selected frames, mov , mp4
  • Nonsymmetrized m-m Collisions
    • Repulsive, KE = +V/4, 349K gif (squeeze, recoil, no penetrate), selected frames, mov , mp4
    • Repulsive, KE = +V/2, 353K gif (more squeeze, recoil, no penetrate), selected frames, mov , mp4
    • Repulsive, KE = +V, 225K gif (more squeeze, recoil, no transmit), selected frames
    • Attractive, KE = -V/10, 353K gif (bow, capture, big reflect), selected frames, mov , mp4
    • Attractive, KE = -V/5, 344K gif (bow, capture, medium reflect), selected frames, mov , mp4
    • Attractive, KE = -V/4, 338K gif (bow, capture, little reflect), selected frames, mov , mp4
    • Attractive, KE = -V, 364K gif (duck, pass through, capture), selected frames, mov , mp4
  • Identical Particle (m-m) Collisions
    • Attractive, KE = -V/4, antisymmetrized (stay apart, capture) 348K gif selected frames, mov, mp4
    • Attractive, KE = -V/4, symmetrized, 349K gif (join and exchange), selected frames , mov, mp4

  Movies: rho₁ & rho₂ vs time, Gaussian (soft) Potential

  • Barrier and Well "Like" Collision (m₂=10 m₁)
    • Attractive, KE = -V/4, (tunnel) gif, mov, mp4
    • Repulsive, KE = 2V/5 (squeze, recoil) gif, mov, mp4
  • Nonsymmetrized m-m Collisions
    • Attractive, KE = -V/2 (bow, pass through) gif, mov, mp4
    • Repulsive, KE = +V/2 (squeeze, recoil) gif, mov, mp4

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  Full C code , Lite C code ,
  

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  How movies were made

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  M.S. Project of Jon Maestri, movie updates by Justin Murray,  "Two-particle Schrodinger equation animations of wave packet-wave packet scattering", AM J PHYS, 68(12), 2000, pp. 1113-1119
  Rubin Landau, Nacse in Physics

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