WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Two-Dimensional Oscillator in Magnetic Field

​
display
contour plot
RDF
energy levels
oscillator frequency (rad/sec)
ω
1
magnetic field (T)
B
1
quantum numbers {n,m}
{1,0}
{2,1}
{3,0}
{3,2}
{4,1}
{4,3}
The two-dimensional problem of a charged isotropic harmonic oscillator in a constant magnetic field can be solved exactly, as worked out in the Details. You can choose to display: (1) a contour plot of the solutions; (2) the radial distribution function in cylindrical coordinates; or (3) an energy-level diagram. You can select the oscillator frequency
ω
, the magnetic field
B
and the quantum numbers
n
and
m
. In the contour plots, positive and negative regions are colored blue and yellow, respectively.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.