Classical calculation of relativistic frequency-shifts in an ideal Penning trap
arXiv:1310.4463 · doi:10.1016/j.ijms.2014.01.028
Abstract
The ideal Penning trap consists of a uniform magnetic field and an electrostatic quadrupole potential. In the classical low-energy limit, the three characteristic eigenfrequencies of a charged particle trapped in this configuration do not depend on the amplitudes of the three eigenmotions. No matter how accurate the experimental realization of the ideal Penning trap, its harmonicity is ultimately compromised by special relativity. Using a classical formalism of first-order perturbation theory, we calculate the relativistic frequency-shifts associated with the motional degrees of freedom for a spinless particle stored in an ideal Penning trap, and we compare the results with the simple but surprisingly accurate model of relativistic mass-increase.
8 pages, 0 figures, 1 table; Accepted manuscript subsequently published with a slightly extended description of the perturbative method
References in corpus (1)
Cited by in corpus (7)
- Stringent test of QED with hydrogenlike tin
- Perspectives on testing fundamental physics with highly charged ions in Penning traps
- Relativistic shifts of eigenfrequencies in an ideal Penning trap
- Testing inter-electronic interaction in lithium-like tin
- Factor of Boron-like Tin
- Sympathetic cooling of charged particles in Penning traps using electron cyclotron radiation
- Quantum Calculations of the Cavity Shift in Electron Magnetic Moment Measurements