Trajectories of Charged Particles in Knotted Electromagnetic Fields

Codes:

Explanation of trajectory functions (text)

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3

S

-harmonics & one-forms

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Basis fields

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Hopf-Ranada fields

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Energy maxima and contour plots

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(p,q)-torus knots

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Field lines

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Single particle trajectory;

(j;m,n)

R

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Single particle trajectory;

(j;m,n)

I

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Multi-particle trajectories; line;

(j;m,n)

R

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Multi-particle trajectories; line;

(j;m,n)

I

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Multi-particle trajectories; circle;

(j;m,n)

R

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Multi-particle trajectories; circle;

(j;m,n)

I

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Multi-particle trajectories; sphere;

(j;m,n)

R

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Multi-particle trajectories; sphere;

(j;m,n)

I

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Plots and verifications

j=0 configurations

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j=1/2 configurations

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j=1 configurations

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j>1 configurations

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