Demos.SimplePendulum.Stationary

The stationary eigenstates of a plane quantum pendulum beautifully demonstrate the transition from harmonic oscillator states for the strongly hindered case to free rotor states in the essentially unhindered case. The corresponding wavefunctions are Mathieu functions for which no closed expressions exist. However, their Fourier representations are easily generated by diagonalizing a tri-diagonal matrix.

Even parity eigenstates for V₀=100

• Animated sequence of eigenfunctions
• Input data file
• Logfile output

Odd parity eigenstates for V₀=100

• Animated sequence of eigenfunctions
• Input data file
• Logfile output