Calculation of electrostatic fields using quasi-Green's functions: Application to the hybrid Penning trap

New Journal of Physics

Volumn 10, Issue , 2008, Pages

  Verdu J ^a   Kreim, S ^b   Blaum, K ^c,d   Kracke, H ^b   Quint, W ^d   Ulmer, S ^b   Walz, J ^b  

^a TU WIEN   (Austria)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

^c MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^d GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPLICATIONS; CHARGED PARTICLES; DIFFERENTIAL EQUATIONS; ELECTROSTATICS; HIGH PERFORMANCE LIQUID CHROMATOGRAPHY; LAPLACE EQUATION; LASER SPECTROSCOPY; MAGNETIC MOMENTS; MASS SPECTROMETRY; PROBABILITY DENSITY FUNCTION; SPECTROMETERS; SPECTROMETRY; SPECTRUM ANALYSIS;

ANALYTICAL CALCULATIONS; ANALYTICAL SOLUTIONS; ANHARMONICITY; CHEMICAL SAMPLES; DIRICHLET; ELECTROSTATIC FIELDS; ELECTROSTATIC PROPERTIES; FREQUENCY SHIFTS; HIGH SENSITIVITIES; MATHEMATICAL FORMALISMS; NUCLEAR MAGNETIC MOMENTS; OPTIMUM ADJUSTMENTS; ORTHOGONALITY; PENNING TRAPS; POTENTIAL APPLICATIONS; QUANTUM JUMPS; REACTION STUDIES; TRAPPING FIELDS; WIDESPREAD APPLICATIONS;

GREEN'S FUNCTION;

EID: 56349090967     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/10/10/103009     Document Type: Article

References (49)

1. Dehmelt H G and Walls F L 1968 Bolometric technique for the rf spectroscopy of stored ions Phys. Rev. Lett. 21 127-31
2. Hanneke D, Fogwell S and Gabrielse G 2008 New measurement of the electron magnetic moment and the fine structure constant Phys. Rev. Lett. 100 120801
3. Gabrielse G and MacKintosh F C 1984 Cylindrical Penning traps with orthogonalized anharmonicity compensation Int. J. Mass Spectrom. Ion Process. 57 1
4. Dehmelt H G 1990 Experiments with an isolated subatomic particle at rest Rev. Mod. Phys. 62 525
5. Blaum K 2006 High-accuracy mass spectrometry with stored ions Phys. Rep. 425 1 78
6. Häffner H, Beier T, Hermanspahn N, Kluge H-J, Quint W, Stahl S, Verdú J and Werth G 2000 High-accuracy measurement of the magnetic moment anomaly of the electron bound in hydrogenlike carbon Phys. Rev. Lett. 85 5308- 11
7. 7+ Phys. Rev. Lett. 92 093002
8. Gabrielse G, Hanneke D, Kinoshita T, Nio M and Odom B 2006 New value of the fine structure constant from the electron g-value and QED Phys. Rev. Lett. 97 030802
9. Gabrielse G, Khabbaz A, Hall D S, Heimann C, Kalinowsky H and Jhe W 1999 Precision mass spectroscopy of the antiproton and proton using simultaneously trapped particles Phys. Rev. Lett. 82 3198-201
10. Pinegar D B, Zafonte S L and Van Dyck R S 2007 The UW-PTMS: recent measurements and technological progress Hyperfine Interact. 174 47-53
11. Rainville S, Thompson J K and Pritchard D E 2004 An ion balance for ultra-high-precision atomic mass measurements Science 303 334-8
12. 7Li Phys. Rev. Lett. 96 163004
13. 33Ar for fundamental tests Phys. Rev. Lett. 91 260801
14. 72Kr Phys. Rev. Lett. 93 161104
15. 38Ca Phys. Rev. Lett. 96 152501
16. George S et al 2007 Ramsey method of separated oscillatory fields for high-precision Penning trap mass spectrometry Phys. Rev. Lett. 98 162501
17. Thompson J K, Rainville S and Pritchard D E 2004 Cyclotron frequency shifts arising from polarization forces Nature 430 58
18. Amoretti M et al 2002 Production and detection of cold antihydrogen atoms Nature 419 439
19. Gabrielse G et al 2002 Background-free observation of cold antihydrogen with field-ionization analysis of its states Phys. Rev. Lett. 89 213401
20. Van Dyck R S, Schwinberg P B and Dehmelt H G 1987 New high-precision comparison of electron and positron g factors Phys. Rev. Lett. 59 26-9
21. Stahl S, Galve F, Alonso J, Djekić S, Quint W, Valenzuela T, Verdú J, Vogel M and Werth G 2005 A planar Penning trap Eur. Phys. J. E 32 139-46
22. Galve F, Fernández P and Werth G 2006 Operation of a planar Penning trap Eur. Phys. J. D 40 201-4
23. Castrejón-Pita J R and Thompson R C 2005 Proposal for a planar Penning ion trap Phys. Rev. A 72 013405
24. Quint W, Alonso J, Djekić S, Kluge H-J, Stahl S, Valenzuela T, Verdú J, Vogel M and Werth G 2004 Continuous Stern-Gerlach effect and the magnetic moment of the antiproton Nucl. Instrum. Methods B 214 207-10
25. Verdú J L et al 2005 Penning trap measurement of the magnetic moment of the antiproton AIP Conf. Proc. 796 260
26. Hermanspahn N, Häffner H, Kluge H-J, Quint W, Stahl S, Verdú J and Werth G 2000 Observation of the continuous Stern-Gerlach effect on an electron bound in an atomic ion Phys. Rev. Lett. 84 427-30
27. Dehmelt H G 1986 Continuous Stern-Gerlach effect: principle and idealized apparatus Proc. Natl Acad. Sci. USA 93 2291-4
28. Stahl S, Alonso J, Djekić S, Kluge H-J, Quint W, Verdú J and Vogel M 2005 Phase-sensitive measurement of trapped particle motions J. Phys. B: At. Mol. Opt. Phys. 38 297-304
29. Morse P M and Feshbach H 1953 Methods of Theoretical Physics (New York: McGraw-Hill)
30. Moon P and Spencer D E 1971 Field Theory Handbook: Including Coordinate Systems, Differential Equations and Their Solutions (Berlin: Springer)
31. Jackson J D 2005 Classical Electrodynamics (New York: Wiley)
32. Cohl H C, Tohline J E, Rau ARP and Srivastava H M 2000 Developments in determining the gravitational potential using toroidal functions Astron. Nachr. 321 363-73
33. Gabrielse G, Haarsma L and Rolston S L 1989 Open-endcap Penning traps for high precision experiments Int. J. Mass Spectrom. Ion Process. 88 319-32
34. Verdú J 2004 PhD Thesis Johannes Gutenberg Universität, Mainz, Germany
35. Arfken G B and Weber H J 2005 Mathematical Methods for Physicists (San Diego, CA: Academic)
36. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover)
37. Cohl H C and Tohline J E 1999 A compact cylindrical green's function expansion for the solution of potential problems Astrophys. J. 527 86-101
38. Van Dyck R S, Wineland D J, Ekstrom P A and Dehmelt H G 1976 High mass resolution with a new variable anharmonicity Penning trap Appl. Phys. Lett. 28 446
39. Gabrielse G 1983 Relaxation calculation of the electrostatic properties of compensated Penning traps with hyperbolic electrodes Phys. Rev. A 27 2277-90
40. Brown L S and Gabrielse G 1986 Geonium theory: physics of a single electron or ion in a Penning trap Rev. Mod. Phys. 58 233-311
41. _8 Nucl. Phys. A 752 317C-20C
42. Lindell I V 1981 On the 'quasi'-TEM modes in inhomogeneous multiconductor transmission lines IEEE Trans. Microw. Theory Tech. 29 812
43. Wallraff A, Schuster D I, Biais A, Frunzio L, Huang R-S, Majer J, Kumar S, Girvin S M and Schoelkopf R J 2004 Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics Nature 431 162
44. Verdú J et al 2008 Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity arXiv:0809.2552vl [cond-mat.mes-hall]
45. André A, DeMille D, Doyle J M, Lukin M D, Rabl P, Schoelkopf R J and Zoller P 2006 A coherent all-electrical interface between polar molecules and mesoscopic superconducting resonators Nat. Phys. 2 636
46. Rabl P, DeMille D, Doyle J M, Lukin M D, Schoelkopf R J and Zoller P 2006 Hybrid quantum processors: molecular ensembles as quantum memory for solid state circuits Phys. Rev. Lett. 97 033003
47. Pozar D M 2004 Microwave Engineering (New York: Wiley)
48. Simons R N and Arora R K 1982 Coupled slot line field components IEEE Trans. Microw. Theory Tech. 30 1094
49. Cohn S B 1972 Slot line field components IEEE Trans. Microw. Theory Tech. 20 172