Uncertainty principle in larmor clock

QIAO Chuan; REN Zhong-Zhou

doi:10.1088/1674-1137/35/11/002

Chinese Physics C> 2011, Vol. 35> Issue(11) : 992-996 DOI: 10.1088/1674-1137/35/11/002

Uncertainty principle in larmor clock

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It is well known that the spin operators of a quantum particle must obey uncertainty relations. We use the uncertainty principle to study the Larmor clock. To avoid breaking the uncertainty principle, Larmor time can be defined as the ratio of the phase difference between a spin-up particle and a spin-down particle to the corresponding Larmor frequency. The connection between the dwell time and the Larmor time has also been confirmed. Moreover, the results show that the behavior of the Larmor time depends on the height and width of the barrier.

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[1]

MacColl L A. Phys. Rev., 1932, 40: 6212 Wigner E P. Phys. Rev., 1955, 98(1): 1453 Smith F T. Phys. Rev., 1960, 118(1): 3494 Buttiker M. Phys. Rev. B, 1983, 27(10): 61785 Baz' A I. Sov. J. Nucl., 1967, 4: 182; 5: 1616 Rybachenko V F. Sov. J. Nucl. Phys., 1967, 5: 6357 Buttiker M, Landauer R. Phys. Rev. Lett., 1982, 49(23): 17398 Pollak E, Miller W H. Phys. Rev. Lett., 1984, 53(2): 1159 Sokolovski D, Baskin L M. Phys. Rev. A, 1987, 36(10): 460410 Fertig H A. Phys. Rev. Lett., 1990, 65(19): 232111 Sokolovski D, Connor J N L. Phys. Rev. A, 1993, 47(6): 467712 Steinberg A M. Phys. Rev. Lett., 1995, 74(13): 240513 Bracher C, Kleber M, Riza M. Phys. Rev. A, 1999, 60(3): 186414 LI Zhi-Jian, LIANG J Q, Kobe D H. Phys. Rev. A, 2001, 64(4): 04211215 Falck J P, Hauge E H. Phys. Rev. B, 1988, 38(5): 328716 Hauge E H, St vneng J A. Rev. Mod. Phys., 1989, 61(4): 91717 Landauer R, Martin T. Rev. Mod. Phys, 1994, 66(1): 21718 Krenzlin H M, Budczies J, Kehr K W. Phys. Rev. A, 1996, 53(6): 374919 Steinberg A M, Kwiat P G, Chiao R Y. Phys. Rev. Lett., 1993, 71(5): 70820 Deutsch M, Golub J E. Phys. Rev. A, 1996, 53(1): 43421 Masahiro Hino et al. Phys. Rev. A, 1999, 59(3): 226122 Sekatskii S K, Letokhov V S. Phys. Rev. B, 2001, 64(23): 233311

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QIAO Chuan and REN Zhong-Zhou. Uncertainty principle in larmor clock[J]. Chinese Physics C, 2011, 35(11): 992-996. doi: 10.1088/1674-1137/35/11/002

QIAO Chuan and REN Zhong-Zhou. Uncertainty principle in larmor clock[J]. Chinese Physics C, 2011, 35(11): 992-996. doi: 10.1088/1674-1137/35/11/002 shu

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Received: 2011-03-09
Revised: 2011-04-06

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Uncertainty principle in larmor clock

Received Date: 2011-03-09

Accepted Date: 2011-04-06

Available Online: 2011-11-05

Abstract: It is well known that the spin operators of a quantum particle must obey uncertainty relations. We use the uncertainty principle to study the Larmor clock. To avoid breaking the uncertainty principle, Larmor time can be defined as the ratio of the phase difference between a spin-up particle and a spin-down particle to the corresponding Larmor frequency. The connection between the dwell time and the Larmor time has also been confirmed. Moreover, the results show that the behavior of the Larmor time depends on the height and width of the barrier.

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