Title :
String, ring, sphere: visualizing wavefunctions on different topologies
Author :
Ashkenazi, Guy ; Kosloff, Ronnie
Author_Institution :
Hebrew Univ., Jerusalem, Israel
Abstract :
A quantum system´s state is described by a complex wave function, which can be supported on different topologies - for example, one-dimensional open space, a closed one-dimensional ring, or a two-dimensional surface of a sphere. Interactive tools represent the quantum state of a single particle constrained to different topologies, while stressing the underlying superposition principle, which is independent of topology. The insight gained by visualizing the same phenomena in different geometrical contexts contributes to the students´ ability to abstract, which is the key to understanding quantum phenomena in more complex systems.
Keywords :
computer aided instruction; data visualisation; digital simulation; physics computing; topology; wave functions; closed one-dimensional ring; interactive tools; one-dimensional open space; quantum phenomena; quantum state; single particle; state representation; superposition principle; topology; two-dimensional sphere surface; wavefunction visualization; Eigenvalues and eigenfunctions; Java; Joining processes; Quantum mechanics; Spirals; Topology; Visualization;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCISE.2004.1289315