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Geonium theory: Physics of a single electron or ion in a Penning trap

Lowell S. Brown and Gerald Gabrielse

Lowell S. Brown and Gerald Gabrielse

  • Department of Physics, FM-15, University of Washington, Seattle, Washington 98195

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Rev. Mod. Phys. 58, 233 – Published 1 January, 1986

DOI: https://doi.org/10.1103/RevModPhys.58.233

Abstract

A single charged particle in a Penning trap is a bound system that rivals the hydrogen atom in its simplicity and provides similar opportunities to calculate and measure physical quantities at very high precision. We review the theory of this bound system, beginning with the simple first-order orbits and progressively dealing with small corrections which must be considered owing to the experimental precision that is being achieved. Much of the discussion will also be useful for experiments with more particles in the trap, and several of the mathematical techniques have a wider applicability.

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References (88)

  1. Barton, G., and H. Grotch, 1977, J. Phys. A 10, 1201
  2. Bloch, F., and A. Siegert, 1940, Phys. Rev. 57, 522
  3. Boulware, D. G., and L. S. Brown, 1985, Phys. Rev. Lett. 55, 133
  4. Boulware, D. G., L. S. Brown, and T. Lee, 1985, Phys. Rev. D 32, 729
  5. Brown, L. S., 1983, Phys. Rev. A 27, 857
  6. Brown, L. S., 1984, Phys. Rev. Lett. 52, 2013
  7. Brown, L. S., 1985, Ann. Phys. (N.Y.) 159, 62
  8. Brown, L. S., and G. Gabrielse, 1982, Phys. Rev. A 25, 2423
  9. Brown, L. S., G. Gabrielse, K. Helmerson, and J. Tan, 1985a, Phys. Rev. Lett. 55, 44
  10. Brown, L. S., G. Gabrielse, K. Helmerson, and J. Tan, 1985b, Phys. Rev. A 32, 3204
  11. Chance, R. R., A. Prock, and R. Silbey, 1975, J. Chem. Phys. 63, 771
  12. Conti, R., D. Newman, A. Rich, and E. Sweetman, 1984, in Precision Measurements and Fundamental Constants II, edited by B. N. Taylor and W. D. Phillips (Natl. Bur. Stand. U.S. Spec. Publ. 617), p. 207
  13. Dehmelt, H. G., 1981, in Atomic Physics 7, edited by D. K. Kleppner and F. T. Pipkin (Plenum, New York)
  14. Dehmelt, H. G., 1983, Yearbook of Science and Technology (McGraw-Hill, New York), p. 204
  15. Dehmelt, H. G., and P. Ekstrom, 1973, Bull. Am. Phys. Soc. 18, 727
  16. Drexhage, K. H., 1974, in Progress in Optics XII, edited by E. Wolf (North-Holland, Amsterdam), p. 165
  17. Ekstrom, P., and D. J. Wineland, 1980, Sci. Am. 243, 105
  18. Field, J. H., E. Picasso, and F. Combley, 1979, Usp. Fiz. Nauk. 127, 553 [Sov. Phys.—Usp. 22, 199 (1979)]
  19. Fischbach, E., and N. Nakagawa, 1984a, Phys. Rev. D 30, 2356
  20. Fischbach, E., and N. Nakagawa, 1984b, Phys. Lett. B 149, 504
  21. Gabrielse, G., 1983, Phys. Rev. A 27, 2277
  22. Gabrielse, G., 1984, Phys. Rev. A 29, 462
  23. Gabrielse, G., and H. G. Dehmelt, 1981a, in Precision Measurements and Fundamental Constants II, edited by B. N. Taylor and W. D. Phillips (Natl. Bur. Stand. U.S. Spec. Publ. 617), p. 219
  24. Gabrielse, G., and H. G. Dehmelt, 1981b, Bull. Am. Phys. Soc. 26, 598
  25. Gabrielse, G., and H. G. Dehmelt, 1982 (unpublished)
  26. Gabrielse, G., and H. G. Dehmelt, 1985, Phys. Rev. Lett. 55, 67
  27. Gabrielse, G., H. G. Dehmelt, and W. Kells, 1985, Phys. Rev. Lett. 54, 537
  28. Gabrielse, G., and X. Helmerson, 1985 (unpublished)
  29. Gabrielse, G, H. Kalinowsky, and W. Kells, 1985, in Physics with Antiprotons at LEAR in the ACOL Era, edited by U. Gastaldi, R. Klapisch, J. M. Richard, and J. Trán Thanh Ván (Editions Frontieres, Gif sur Yvette, France), p. 665
  30. Gabrielse, G., and F. C. MacKintosh, 1984, Int. J. Mass Spectrom. Ion Processes 57, 1
  31. Gärtner, G., and E. Klempt, 1978, Z. Phys. 287, 1
  32. Gräff, G., H. Kalinowsky, and J. Traut, 1980, Z. Phys. 297, 35
  33. Gräff, G., and E. Klempt, 1967, Z. Naturforsch. 229, 1960
  34. Gräff, G., E. Klempt, and G. Werth, 1969, Z. Phys. 222, 201
  35. Gräff, G.E. KlemptG. WerthHandbook of Physics and Chemistry, 1983 (Chemical Rubber, Cleveland)
  36. Hulet, R., E. S. Hilfer, and D. Kleppner, 1985, Phys. Rev. Lett. 55, 2137
  37. Itano, W. M., and D. J. Wineland, 1982, Phys. Rev. A 25, 35
  38. Jackson, J. D., 1975, Classical Electrodynamics, 2nd ed. (Wiley, New York)
  39. Kaplan, A. E., 1982, Phys. Rev. Lett. 48, 138
  40. Kinoshita, T., and J. Sapirstein, 1984, in Atomic Physics 9, edited by R. S. Van Dyck, Jr., and E. N. Forston (World Scientific, Singapore)
  41. Kleppner, D., 1981, Phys. Rev. Lett. 47, 233
  42. Kuhn, H., 1970, J. Chem. Phys. 53, 101
  43. Landau, L. D., and E. M. Lifshitz, 1976, Mechanics (Pergamon, New York)
  44. Milonni, P. W., and P. L. Knight, 1973, Opt. Commun. 9, 119
  45. Morawitz, H., 1969, Phys. Rev. 187, 1792
  46. Newton, R. G., 1954, Phys. Rev. 96, 523
  47. Particle Data Group, 1984, Rev. Mod. Phys. 56, S1
  48. Penning, F. M., 1936, Physica (Utrecht) 3, 873
  49. Philpott, M. R., 1973, Chem. Phys. Lett. 19, 435
  50. Purcell, E. M., 1946, Phys. Rev. 69, 681
  51. Rich, A., and J. C. Wesley, 1972, Rev. Mod. Phys. 44, 250
  52. Schupp, A. A., R. W. Pidd, and H. R. Crane, 1961, Phys. Rev. 121, 1
  53. Schwinberg, P. B., and R. S. Van Dyck, Jr., 1981, Bull. Am. Phys. Soc. 26, 598
  54. Schwinberg, P. B., R. S. Van Dyck, Jr., and H. G. Dehmelt, 1979, Bull. Am. Phys. Soc. 24, 1202
  55. Schwinberg, P. B., R. S. Van Dyck, Jr., and H. G. Dehmelt, 1981a, Phys. Lett. A 81, 119
  56. Schwinberg, P. B., R. S. Van Dyck, Jr., and H. G. Dehmelt, 1981b, Phys. Rev. Lett. 47, 1679
  57. Shockley, W., 1938, J. Appl. Phys. 9, 635
  58. Sirkis, M., and N. Holonyak, 1966, Am. J. Phys. 34, 943
  59. Smythe, W. R., 1950, Static and Dynamic Electricity (McGraw-Hill, New York)
  60. Sokolov, A. A., and Yu. G. Pavlenko, 1965, Opt. Spectrosc. 22, 1
  61. Stehle, P., 1970, Phys. Rev. A 2, 102
  62. Svozil, K., 1985, Phys. Rev. Lett. 54, 742
  63. Thompson, J., 1982, private communication
  64. Tsai, W.-Y., and A. Yildiz, 1973, Phys. Rev. D 8, 3446
  65. Van Dyck, R. S. Jr., 1982 (unpublished)
  66. Van Dyck, R. S., Jr., P. A. Ekstrom, and H. G. Dehmelt, 1976, Nature 262, 776
  67. Van Dyck, R. S., Jr., and G. Gabrielse, 1982 (unpublished)
  68. Van Dyck, R. S., Jr., F. L. Moore, D. L. Farnham, and P. B. Schwinberg, 1985, Intl. J. Mass Spectrom. Ion Phys. 66, 327
  69. Van Dyck, R. S., Jr., F. L. Moore, D. L. Farnham, and P. B. Schwinberg, 1986, Rev. Sci. Inst. (to be published)
  70. Van Dyck, R. S., Jr., and P. B. Schwinberg, 1981, Phys. Rev. Lett. 47, 395
  71. Van Dyck, R. S., Jr., P. B. Schwinberg, and S. H. Bailey, 1980, in Atomic Masses and Fundamental Constants 6, edited by J. A. Nolen and W. Benenson (Plenum, New York)
  72. Van Dyck, R. S., Jr., P. B. Schwinberg, and H. G. Dehmelt, 1977, Phys. Rev. Lett. 38, 1679
  73. Van Dyck, R. S., Jr., P. B. Schwinberg, and H. G. Dehmelt, 1978, in New Frontiers in High Energy Physics, edited by B. Kursunoglu, A. Perlmutter, and L. Scott (Plenum, New York)
  74. Van Dyck, R. S., Jr., P. B. Schwinberg, and H. G. Dehmelt, 1984, in Atomic Physics 9, edited by R. S. Van Dyck, Jr. and E. N. Fortson (World Scientific, Singapore)
  75. Van Dyck, R. S., Jr., P. B. Schwinberg, and H. G. Dehmelt, 1985 (unpublished)
  76. Van Dyck, R. S., Jr., D. J. Wineland, P. A. Ekstrom, and H. G. Dehmelt, 1976, Appl. Phys. Lett. 28, 446
  77. Vyatchanin, S. P., 1977, Dok. Akad. Nauk. SSSR 234, 1295 [Sov. Phys.—Dokl. 22, 321 (1977)]
  78. Walls, F. L., 1970, Ph.D. thesis (University of Washington)
  79. Walls, F. L., and H. G. Dehmelt, 1968, Phys. Rev. Lett. 21, 127
  80. Wilkinson, D. T., and H. R. Crane, 1963, Phys. Rev. 130, 852
  81. Wineland, D. J., 1979, J. Appl. Phys. 50, 2528, Appendix
  82. Wineland, D. J., J. J. Bollinger, and W. M. Itano, 1983, Phys. Rev. Lett. 50, 628 ibid.50, 1333(E)
  83. Wineland, D. J., and H. G. Dehmelt, 1975a, Intl. J. Mass Spectrom. Ion Phys. 16, 338 ibid.19 251(E)
  84. Wineland, D. J., and H. G. Dehmelt, 1975b, J. Appl. Phys. 46, 919
  85. Wineland, D. J., P. Ekstrom, and H. G. Dehmelt, 1973, Phys. Rev. Lett. 31, 1279
  86. Wineland, D. J., and W. M. Itano, 1979, Phys. Rev. A 20, 1521
  87. Wineland, D. J., W. M. Itano, J. C. Bergquist, J. J. Bollinger, and J. D. Prestage, 1984, in Atomic Physics 9, edited by R. S. Van Dyck and E. N. Fortson (World Scientific, Singapore)
  88. Wineland, D. J., W. M. Itano, and R. S. Van Dyck, Jr., 1984, Adv. At. Mol. Phys. 19, 135

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Rev. Mod. Phys. 58, 233– Published 1 January, 1986

    © 1986 American Physical Society

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