Title :
Quantum variances for transverse SSC injection dynamics
Author_Institution :
Superconducting Super Collider Lab., Dallas, TX, USA
Abstract :
It is shown that the quantized invariant of the linearized betatron equations which are obtained from an invariant action leads to the time-dependent coherent state used to evaluate the uncertainties of the position and momentum operators. The maximum value of beta (s) in the SSC arcs during injection is 300 m. However, larger variances can occur during the injection phase in other regions where beta (s)>1800 m.<>
Keywords :
beam handling techniques; proton accelerators; storage rings; synchrotrons; SSC arcs; invariant action; linearized betatron equations; maximum value; momentum operators; position; quantized invariant; time-dependent coherent state; transverse SSC injection dynamics; uncertainties; Apertures; Chaos; Difference equations; Educational institutions; Electromagnetic fields; Laboratories; Lagrangian functions; Oscillators; Protons; Uncertainty;
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.1991.164257
