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Classical calculation of relativistic frequency-shifts in an ideal Penning trap

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Ketter,  Jochen
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Eronen,  Tommi
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Höcker,  Martin
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Schuh,  Marc
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Streubel,  Sebastian
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Blaum,  Klaus
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Citation

Ketter, J., Eronen, T., Höcker, M., Schuh, M., Streubel, S., & Blaum, K. (2014). Classical calculation of relativistic frequency-shifts in an ideal Penning trap. International Journal of Mass Spectrometry, 361, 34-40. doi:10.1016/j.ijms.2014.01.028.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0018-BE9C-3
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.