The simulation was written in the
C++ programming langauge,
and using the OpenGL
graphic library to render the graphics to the screen, along with the
The simulation defines a Class which contains all the information about the particle that is currently in the system, including constant ones, like its mass, and changing ones, like position, velocity and spin.
The system consist of a stationary magnetic field, which is defined for each point in space, and 2 equi-y planes that defines the part of the space where the field actually exists.
Each cycle of the simulation starts with setting the position of the particle to the edge of the particle "gun", adding it some user-controled uncertainty, setting it's velocity directly towards the screen, and setting its magnetic-moment or spin-state to a random value, depending on the physical mode adjusted by the keyboard (see manual section). then at each step the time is progressed by a constant interval which was set to 10^-5 seconds, the position is changed according to the velocity, the velocity according to the body-force, and if in semi-classical physical mode, the spin is measured along the axis tangent to the field in the current particle position.
The particle is modeled as solid sphere with an arrow directed in it's magnetic moment direction. It is way out of scale, and does not represent visually the true particle, if such a thing even exists, but rather supplies all the relevant information about the particle elegantly.
This field was obtained analytically, as a simple approximation to the field obtained by the original geometric setup. The equation for it is :
with B₀ of order of one Tesla. This form assures that the law of nature : ∇∙B = 0 will hold. It does ignore changes in the Y direction, but this is OK for a slowly varying field.
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