Particle moving on a ring


Home Supplements Problem sets Exams 
http://www.bu.edu/chemistry/undergrad/courses/352fall2002/supplements/RingPacket.html


Here is an animation probability density of a quantum particle moving on a ring. The particle is described by a wavefunction composed of five m values: 8, 9, 10, 11, and 12. The relative weights of the m values fall off symmetrically from m = 10. The motion covers one period of evolution of the ring. This period is 2 pi time units. One time unit is equal the hbar/(2 m r^2), where m is the mass of the particle and r is the radius of the ring. For an HCl molecule the time unit is 5 x 10^13 seconds. Reload this page to replay the animation. Here are stacks of the time slices, for times over a 0.4 unit range centered at 0, 2 pi/5 (upper row, from left), 4 pi/5, 6 pi/5, 8 pi/5 and 2 pi (lower low, from left). Details of angular motion in quantum systems and of the construction of such wavepackets are discussed here. [ Top ] http://www.bu.edu/chemistry/undergrad/courses/352fall2002/supplements/RingPacket.html 