on the other hand of an applet and a screen. The screen displays different energy and discretization levels in x and y direction, generated by the applet and the motion on the stool. By rocking forth on the stool the images of the energy levels belong to finer quantized states and by rocking backwards to coarser quantizations- i.e. the images look more "pixelated". Rocking left meant showing energy states with lower energy and and by rocking right the applet showed higher energy states of the quantum pendulum.
Initially a JAVA-applet displayed the images and the functionality of the installation here on this page. In the applet the rocking stool was replaced by a mouse drag.physics: The quantum pendulum is a quantum version of the discrete nonlinear pendulum, or for those aquainted with quantum mechanics: a discrete nonlinear harmonic oscillator. The images display the Husimi function, i.e. a kind of phase space image of the corresponding energy eigenstates. The discrete quantum pendulum was introduced in the joint work:
"The discrete quantum pendulum", Alexander Bobenko, Nadja Kutz, Ulrich Pinkall Phys. Lett. A 187 (1994) 365-372
->see also blog entry about heim@pendel
daytar Ⓒ 2000-2026