Demos.SimplePendulum.Coherent

In a harmonic oscillator, coherent (or Glauber) states are described by stationary wavefunctions, shifted along the independent coordinate. As a characteristic property, they do not change their shape upon time evolution with their centers following classical trajectories. For the Mathieu states of the quantum pendulum, this is not the case because of the anharmonicity of the trigonometric potential energy curve, but intriguing interference phenomena are found for long times, see our work on quantum dynamics of a plane pendulum

Harmonic oscillator limit

Shifting the (stationary) ground pendular state by π/8

• Animation of evolving wavepacket
• Input data file
• Logfile output

Intermediate case

Shifting the (stationary) ground pendular state by π/2

• Animation of evolving wavepacket
• Input data file
• Logfile output

Inverted pendulum limit

Shifting the (stationary) ground pendular state by π

• Animation of evolving wavepacket
• Input data file
• Logfile output