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Abstract

This PhD thesis presents experiments performed on a single proton stored in a Penning trap. The eigenmotion of an isolated, free proton could be detected electronically via a coupling to a resonance circuit. This represents a non-destructive measurement, i. e. the particle is not lost during the measurement. The free cyclotron frequency emerging from the measured eigenfrequencies is one of the two frequencies required for the determination of the magnetic moment. This enables a direct determination of the g-factor contrary to already existing works. Design, developing, and commissioning of the experimental setup have been accomplished within the scope of this work leading to a measuring accuracy of 10−7. The technical challenges for the determination of the second frequency (the Larmor frequency) arising from the smallness of the magnetic moment were mastered. Since the spin state required for this measurement is an internal degree of freedom, it can only be accessed through a coupling of the magnetic moment to the eigenmotion. A novel, hybrid penning trap is presented in this work, which imprints the spin information onto the eigenmotion, thus, realizing a quantum jump spectrometer. Therewith, the frequency shift of the two spin states resulting from the magnetic coupling reaches for the first time an electronically detectable range.