Constructs coherent states for quantized EM field matching classical non-null torus knot solutions and computes their field, energy, helicity, and correlation observables in terms of knot parameters (n,m,l,s).
Electromagnetic Torus Knots
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abstract
We present a new range of solutions of the Maxwell equations in vacuum in which the topology of the field lines is that of the whole torus knots set. Knotted electromagnetic fields are solutions of the Maxwell equations in vacuum in which magnetic lines, and also electric lines, have some kind of linkage. These solutions may play an important role in fundamental physics problems from the stability of field configurations, such as plasma confinement, to coding information.
fields
quant-ph 1years
2026 1verdicts
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Coherent States of Non-Null Torus Knots
Constructs coherent states for quantized EM field matching classical non-null torus knot solutions and computes their field, energy, helicity, and correlation observables in terms of knot parameters (n,m,l,s).