Complementary Chaos and Spin Polarization Stability in Cyclotrons Studied from the Nonautonomous SU(2)Dynamical System

  • Complementary chaos and spin polarization stability in cyclotrons are studied from the nonautonomous SU(2) dynamical system by the algebraic dynamical method. The results are as follows:for the case of initially low polarization,the magnetically induced polarization is sensitive to the irregular perturbation,while for the case of initially high polarization,the magnetically induced polarization is stable with respect to the irregular perturbation. The fluctuations of the transverse and longitudinal components of the spin polarization are complementary to each other due to the existence of an invariant of the SU(2) dynamical system,which can be used as a feedback signal to control the spin polarization stability.
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  • [1] . WANG S J,ZUO W .Phys.Lett.,1994,A196:13 2. WANG S J.Phys.Rev.,1990,A42:51073. ZUO Wei,WANG S J .Acta Physica Sinica,1995,44(8):1177(in Chinese)(左维,王顺金.物理学报,1995,44(8):1177)4. WANG S J,LI L F ,Weiguny A .Phys.Lett.,1994,A180:189 5. Leander G A et al.Nucl.Phys.,1983,A400:97c
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WANG Shun-Jin and GUO Yuan-Jun. Complementary Chaos and Spin Polarization Stability in Cyclotrons Studied from the Nonautonomous SU(2)Dynamical System[J]. Chinese Physics C, 2003, 27(12): 1123-1127.
WANG Shun-Jin and GUO Yuan-Jun. Complementary Chaos and Spin Polarization Stability in Cyclotrons Studied from the Nonautonomous SU(2)Dynamical System[J]. Chinese Physics C, 2003, 27(12): 1123-1127. shu
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Received: 2003-04-28
Revised: 1900-01-01
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Complementary Chaos and Spin Polarization Stability in Cyclotrons Studied from the Nonautonomous SU(2)Dynamical System

    Corresponding author: WANG Shun-Jin,
  • Department of Physics,Sichuan University,Chengdu 610064,China2 Department of Physics,Sichuan Normal University,Chengdu 610066,China

Abstract: Complementary chaos and spin polarization stability in cyclotrons are studied from the nonautonomous SU(2) dynamical system by the algebraic dynamical method. The results are as follows:for the case of initially low polarization,the magnetically induced polarization is sensitive to the irregular perturbation,while for the case of initially high polarization,the magnetically induced polarization is stable with respect to the irregular perturbation. The fluctuations of the transverse and longitudinal components of the spin polarization are complementary to each other due to the existence of an invariant of the SU(2) dynamical system,which can be used as a feedback signal to control the spin polarization stability.

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