Lepton Spin Motion in Weak Magnetic Mirror Traps

We give an informal summary of ongoing work which uses tools distilled from the theory of fibre bundles to classify and connect invariant fields associated with spin motion in storage rings. We mention four major theorems. One ties invariant fields with the notion of normal form, the second allows comparison of different invariant fields and the two others tie the existence of invariant fields to the existence of certain invariant sets. We explain how the theorems apply to the spin dynamics of spin-[Formula: see text] and spin-[Formula: see text] particles. Our approach elegantly unifies the spin-vector dynamics from the T-BMT equation with the spin-tensor dynamics and other dynamics and suggests an avenue for addressing the question of the existence of the invariant spin field.

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DERIVATION OF GENERALIZED THOMAS–BARGMANN–MICHEL–TELEGDI EQUATION FOR A PARTICLE WITH ELECTRIC DIPOLE MOMENT

International Journal of Modern Physics A ◽

10.1142/s0217751x13501479 ◽

2013 ◽

Vol 28 (29) ◽

pp. 1350147 ◽

Cited By ~ 41

Author(s):

TAKESHI FUKUYAMA ◽

ALEXANDER J. SILENKO

Keyword(s):

Dipole Moment ◽

Electromagnetic Fields ◽

Electric Dipole Moment ◽

Electric Dipole ◽

Dipole Moments ◽

Classical Equation ◽

Spin Motion ◽

Electric Dipole Moments ◽

Momentum Direction ◽

Telegdi Equation

General classical equation of spin motion is explicitly derived for a particle with magnetic and electric dipole moments in electromagnetic fields. Equation describing the spin motion relative to the momentum direction in storage rings is also obtained.

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A solution of the motion of a charged particle in magnetic mirror systems

Czechoslovak Journal of Physics ◽

10.1007/bf01687609 ◽

1963 ◽

Vol 13 (6) ◽

pp. 401-417 ◽

Cited By ~ 10

Author(s):

J. Lacina

Keyword(s):

Charged Particle ◽

Magnetic Mirror

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Experimental study of force-free, collinear plasma structures

Journal of Plasma Physics ◽

10.1017/s0022377800007285 ◽

1973 ◽

Vol 9 (1) ◽

pp. 1-15 ◽

Cited By ~ 20

Author(s):

E. E. Nolting ◽

P. E. Jindra ◽

D. R. Wells

Keyword(s):

Magnetic Field ◽

Experimental Study ◽

Magnetic Fields ◽

Flow Fields ◽

Diagnostic Techniques ◽

Field Configuration ◽

Magnetic Mirror ◽

Magnetic Field Configuration ◽

Magnetic Barrier ◽

Magnetic Well

Detailed measurements of the trapped magnetic fields and currents in plasma structures generated by conical theta-pinches are reported. Studies of these structures interacting with a magnetic barrier, and with each other in a collision at the centre of a magnetic mirror, are reported. The magnetic well formed by the collision has been studied by simultaneous use of several diagnostic techniques. The measurements are in agreement with a force-free, collinear magnetic field configuration (Wells 1972). Arguments relating superposability and collinearity of flow fields to these observations are given.

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