Summary
The techniques of manipulating the wave packet of a nonrelativistic charged particle in a Penning trap are studied. It is shown that a simple method involving electric shocks applied to the Penning-trap surface can induce the packet to undergo the Fourier, parity, rotation and scale transformations. Some possible technological consequences are discussed.
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G. Casati, B. V. Chirikov, F. M. Izraelev andJ. Ford: inStochastic Behavior in Classical and Quantum Hamiltonian Systems, Vol. 93 ofLecture Notes in Physics, edited byG. Casati andJ. Ford (Springer-Verlag, Berlin, 1979), p. 334.
D. R. Grempel, S. Fishman andR. E.Prange:Phys. Rev. Lett.,53, 1212 (1984).
G. A. Luna-Acosta andE. Cantoral:Rev. Mex. Fis.,35, 222 (1989).
W. E. Lamb jr:Phys. Today,22, 23 (1969).
E. Lubkin:J. Math. Phys.,15, 663 (1974).
E. Lubkin:J. Math. Phys.,15, 673 (1974).
B. Mielnik:Commun. Math. Phys.,37, 221 (1974).
R. Haag andD. Kastler:J. Math. Phys.,5, 848 (1964).
C. M. Caves, K. S.Thorne, R. W. P.Drever, V. D. Sandberg andM. Zimmermann:Rev. Mod. Phys.,52, 341 (1980).
V. B. Braginsky, Y. I. Vorontsov andK. S. Thorne:Science,209, 547 (1980).
H. P. Yuen:Phys. Rev. Lett.,51, 719 (1983).
A. Royer:Phys. Rev. A,36, 2460 (1987).
L. S. Brown andL. J. Carson:Phys. Rev. A 20, 2486 (1979).
L. S. Brown:Phys. Rev. A,36, 2460 (1987).
P. Wineland, P. Ekstrom andH. Dehmelt:Phys. Rev. Lett.,31, 1279 (1973).
L. S. Brown andG. Gabrielse Rev. Mod. Phys.,58, 233 (1986).
B. Mielnik:J. Math. Phys.,27, 2290 (1986).
B. Mielnik:Rep. Math. Phys.,12, 331 (1977).
B. Mielnik: inProceedings of 14th ICGTMP, edited byY. M. Cho (World Scientific, Seoul, 1985), p. 265.
W. K. Rhim, A. Pines andJ. S. Waugh:Phys. Rev. B,3, 684 (1971).
D. Walgraef andP. Borckmans:Physica,59, 47 (1972).
K. B. Wolf:J. Math. Phys.,15, 1295 (1974).
P. G. L. Leach:J. Math. Phys.,19, 446 (1978).
M. Moshinsky andP. Winternitz:J. Math. Phys.,21, 1667 (1980).
J. F. Plebañski andJ. D. Finley III:J. Math. Phys.,30, 993 (1989).
D. J. Fernández C.:Acta Phys. Pol. B,21, 589 (1990).
Y. Aharonov andD. Bohm:Phys. Rev.,122, 1649 (1961).
Y. I. Vorontsov:Usp. Fiz. Nauk.,133, 351 (1981), (Sov. Phys. Usp.,24, 150 (1981))
G. Herrera C.: Master thesis, CINVESTAV, México (1987).
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Fernández, D.J.C. Transformations of a wave packet in a Penning trap. Nuov Cim B 107, 885–893 (1992). https://doi.org/10.1007/BF02899290
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DOI: https://doi.org/10.1007/BF02899290