Animated Quantum Mechanics

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Animated Quantum Mechanics

• Outlook
• Time Development of Gaussian Wave Packet
• Time Dependent Harmonic Oscillator
• Time Dependent Anharmonic Oscillator
• Some useful links and literature

All animations were obtained from the following
web pages http//webphysics.davidson.edu/Applets/
QTime/QTime_Examples.html http//rugth30.phys.rug.
nl/quantummechanics/
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Time Development of Gaussian Wave Packet
Initial wavefunction e-x² (Gausian wave packet)
Initial wavefunction ei(2?x)e-(x15)² (Gausian
wave packet)
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Initial wavefunction

• What will hapen if you reverse the time
• continue expanding ?
• contract forever ?
• contract to its initial width and expand again ?
• remain the same?

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Time Dependent Harmonic Oscillator
Potential x2 (harmonic potential) Initial
wavefunction e-x² (Gausian wave packet)
Potential x2 (harmonic potential) Initial
wavefunction e-ax² (Gausian wave packet)
For which a the form of the wave packet does not
change?
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Potential x2 Initial wavefunction e-(x6)²
Is it possible to prepare such a wave packet for
which the form of the wavefunction will not
change?
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Time Dependent Anharmonic Oscillator
Potential x4 Initial wavefunction e-x²
(Gausian wave packet)
Potential x4 Initial wavefunction e-(x6)²
(Gausian wave packet)
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Some useful links and literature

• http//webphysics.davidson.edu/Applets/QTime/QTim
  e_Examples.html
• http//rugth30.phys.rug.nl/quantummechanics/
• Iteractive Quantum Mechanics
• Siegmund Brandt, Hans Dieter Dahmen, Tilo Stroh
  (Springer)
• The Picture Book of Quantum Mechanics
• Siegmund Brandt, Hans Dieter Dahmen (Springer)