Title :
The spin motion calculation using Lie method in collider nonlinear magnetic field
Author :
Eidelman, Yu ; Yakimenko, V.
Author_Institution :
Inst. of Nucl. Phys., Novosibirsk, USSR
Abstract :
The Lie operator method of solving the spin motion equation in collider nonlinear fields is used. The matrix presentation of the spin Lie transformation for a particle passing through collider elements is obtained. The formulas for combined several spin turn transformations are calculated in vector, matrix, and operator forms for zero, first, and second powers components of dynamical variable vectors. The expressions for the frequency precession vector components in zero, first, and second powers on orbit motion and first powers on spin motion are obtained. The computer code algorithms for nonlinear spin motion calculation are discussed.<>
Keywords :
Lie algebras; beam handling techniques; matrix algebra; physics computing; vectors; Lie method; collider nonlinear magnetic field; computer code algorithms; dynamical variable; matrix presentation; operator forms; orbit motion; spin Lie transformation; spin motion calculation; spin turn transformations; vector; Azimuth; Frequency; Hydrogen; Nonlinear equations; Nonlinear magnetics; Nuclear physics; Orbital calculations; Poisson equations; Polynomials; Tensile stress;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164270
