Particle Confinement in Penning Traps pp 297-305 | Cite as
Microwave Spectroscopy
Abstract
Microwave spectroscopy of confined particles in Penning traps is mainly applied to magnetic dipole transitions in various contexts. The strong magnetic field of the Penning trap gives rise to significant spin orientation energies and to Zeeman splitting of lines, which can be used for precision spectroscopy of magnetic dipole transitions and the determination of magnetic moments. Prominent examples are the precision measurements of the magnetic moments (g-factors) of the free (unbound) electron, proton and their anti-particles, as well as of the bound electron by Larmor frequency measurements, and in general the application to the Zeeman splitting of levels that occurs due to the presence of magnetic field used for confinement. We will discuss these applications in detail below.
References
- 1.J.J. Bollinger, et al., Laser Spectroscopy VI, ed. by H.P. Weber, W. Luthy (Springer, Berlin, 1983)Google Scholar
- 2.G. Tommaseo et al., The \(g_J\)-factor in the ground state of Ca\(^+\). Eur. Phys. J. D 25, 113 (2003)ADSCrossRefGoogle Scholar
- 3.M. Chwalla et al., Absolute frequency measurement of the \(^{40}\)Ca\(^+\) 4s2S\(_{1/2}\) - 3d2D\(_{5/2}\) clock transition. Phys. Rev. Lett. 102, 023002 (2009)ADSCrossRefGoogle Scholar
- 4.G. Marx, G. Tommaseo, G. Werth, Precise \(g_J\)- and \(g_I\)-factor measurements of Ba\(^+\) isotopes. Eur. Phys. J. D 4, 279 (1998)ADSCrossRefGoogle Scholar
- 5.K.H. Knoell et al., Experimental \(g_J\) factor in the metastable 5D\(_{3/2}\) level of Ba\(^+\). Phys. Rev. A 54, 1199 (1996)ADSCrossRefGoogle Scholar
- 6.R.J. Rafac et al., Sub-dekahertz ultraviolet spectroscopy of \(^{199}\)Hg\(^+\). Phys. Rev. Lett. 85, 2462 (2000)ADSCrossRefGoogle Scholar
- 7.R. Loch, R. Stengler, G. Werth, Measurement of the electronic g factor of H\(_2^+\). Phys. Rev. A 38, 5484 (1988)ADSCrossRefGoogle Scholar
- 8.W.M. Itano, D.J. Wineland, Precision measurement of the ground-state hyperfine constant of \(^{25}\)Mg\(^+\). Phys. Rev. A 24, 1364 (1981)ADSCrossRefGoogle Scholar
- 9.G. Werth, V.N. Gheorghe, F.G. Major, Charged Particle Traps II (Springer, Heidelberg, 2009)CrossRefGoogle Scholar
- 10.G. Werth, V.N. Gheorghe, F.G. Major, Charged Particle Traps (Springer, Heidelberg, 2005)Google Scholar
- 11.W. Demtröder, Elektrizität und Optik (Springer, Heidelberg, 2006)MATHGoogle Scholar
- 12.D.M. Pozar, Microwave Engineering, 4th edn. (Wiley, Hoboken, NJ, 2005)Google Scholar
- 13.W. Demtröder, Laser Spectroscopy (Springer, Heidelberg, 2003)CrossRefGoogle Scholar
- 14.C.J. Foot, Atomic Physics (Oxford University Press, Oxford, 2009)MATHGoogle Scholar
- 15.D.L. Moskovkin, V.M. Shabaev, Zeeman effect of the hyperfine-structure levels in hydrogenlike ions. Phys. Rev. A 73, 052506 (2006)ADSCrossRefGoogle Scholar
- 16.L.S. Brown, G. Gabrielse, Geonium theory: physics of a single electron or ion in a Penning trap. Rev. Mod. Phys. 58, 233 (1986)ADSCrossRefGoogle Scholar
- 17.H. Häffner et al., Double Penning trap technique for precise \(g\) factor determinations in highly charged ions. Eur. Phys. J. D 22, 163 (2003)ADSCrossRefGoogle Scholar
- 18.R.S. Van Dyck, Jr., P.B. Schwinberg, H.G. Dehmelt, in Atomic Physics 9, ed. by R.S. Van Dyck, Jr., E.N. Fortson (World Scientific, Singapore, 1984)Google Scholar
- 19.H. Häffner, Präzisionsmessung des magnetischen Moments des Elektrons in wasserstoffähnlichen Kohlenstoff, Ph.D. thesis, University of Mainz, 2000Google Scholar
- 20.A. Abragam, The Principles of Nuclear Magnetism (Clarendon Press, Oxford, 1961)Google Scholar
- 21.H. Häffner et al., High-accuracy measurement of the magnetic moment anomaly of the electron bound in Hydrogen-like Carbon. Phys. Rev. Lett. 85, 5308 (2000)ADSCrossRefGoogle Scholar
- 22.J. Verdú et al., Electronic \(g\) factor of Hydrogen-like Oxygen \(^{16}\)O\(^{7+}\). Phys. Rev. Lett. 92, 093002 (2004)ADSCrossRefGoogle Scholar
- 23.J. Verdú et al., Determination of the \(g\)-factor of single Hydrogen-like ions by mode coupling in a Penning trap. Phys. Scripta T112, 68 (2004)ADSCrossRefGoogle Scholar
- 24.S. Sturm et al., g Factor of Hydrogen-like \(^{28}\)Si\(^{13+}\). Phys. Rev. Lett. 107, 023002 (2011)ADSCrossRefGoogle Scholar