Wave packet moving in a magnetic field

[victorphy]

Hi, everyone!

I'm thinking of a problem how a wave packet moves in a constant magnetic field. I want to solve it by numerical calculation.First,I initiate it as a Gauss wave packet. What I understand is it will circle in the magnetic field as time goes by,and it will diffuse at the same time. Because some errors will be brought in calculations,that will distort the shape of wave packet as it moves near the edge, I want to make the radius of the moving small enough.But I failed. I thought when I increased the magnitude of magnetic field, the radius would be smaller just as the classical case.But it seemed not to work.So,I need your help and want to know if I understand it correctly ,and what the moving radius depends on.

I wish I have expressed myself clearly in English.

Thanks in advance.

 

[DrClaude]

You have to tweet the parameters of the Gaussian wave packet to get the right balance between localisation and spreading.

Otherwise, use a bigger grid