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Larmor precession is important in nuclear magnetic resonance, magnetic resonance imaging, electron paramagnetic resonance, muon spin resonance, and neutron spin echo. It is also important for the alignment of cosmic dust grains, which is a cause of the polarization of starlight .
The Larmor formula can only be used for non-relativistic particles, which limits its usefulness. The Liénard-Wiechert potential is a more comprehensive formula that must be employed for particles travelling at relativistic speeds. In certain situations, more intricate calculations including numerical techniques or perturbation theory could be ...
He was born in Magheragall in County Antrim, the son of Hugh Larmor, a Belfast shopkeeper and his wife, Anna Wright. [3] The family moved to Belfast circa 1860, and he was educated at the Royal Belfast Academical Institution, and then studied mathematics and experimental science at Queen's College, Belfast (BA 1874, MA 1875), [4] where one of his teachers was John Purser.
While Curie and Larmor susceptibilities were well understood from experimental measurements, J.H. Van Vleck noticed that the calculation above was incomplete. If H {\displaystyle H} is taken as the perturbation parameter, the calculation must include all orders of perturbation up to the same power of H {\displaystyle H} .
In classical mechanics, centrifugal force is an outward force associated with rotation.Centrifugal force is one of several so-called pseudo-forces (also known as inertial forces), so named because, unlike real forces, they do not originate in interactions with other bodies situated in the environment of the particle upon which they act.
If the field has a parallel gradient, a particle with a finite Larmor radius will also experience a force in the direction away from the larger magnetic field. This effect is known as the magnetic mirror. While it is closely related to guiding center drifts in its physics and mathematics, it is nevertheless considered to be distinct from them.
Erdős–Gallai theorem: Mathematics: Paul Erdős and Tibor Gallai: Erdős–Kac theorem: Mathematics: Paul Erdős and Mark Kac: Erdős–Ko–Rado theorem: Mathematics: Paul Erdős, Ke Zhao, and Richard Rado: Erdős–Nagy theorem: Mathematics: Paul Erdős and Béla Szőkefalvi-Nagy: Erdős–Rado theorem: Mathematics: Paul Erdős and Richard ...
Joseph Larmor found a similar theory simultaneously, but his concept was based on a mechanical aether. A fundamental concept of Lorentz's theory in 1895 [A 1] was the "theorem of corresponding states" for terms of order v/c. This theorem states that a moving observer with respect to the aether can use the same electrodynamic equations as an ...