Title :
The WKB approximation and the travelling-wave acceleration cavity
Author_Institution :
Fermi Nat. Accel. Lab., Batavia, IL, USA
Abstract :
The WKB approximation of quantum mechanics is shown to yield a very accurate solution for massive particles. It allows both the amplitude and the wave number of the trajectory to vary as the cavity is traversed. Solutions are approximately 30 times more accurate than previously published. Comparisons are made with numerical integration.<>
Keywords :
beam handling equipment; beam handling techniques; quantum theory; WKB approximation; amplitude; massive particles; numerical integration; quantum mechanics; travelling-wave acceleration cavity; wave number; Acceleration; Electron accelerators; Equations; Ion accelerators; Laboratories; Oscillators; Particle accelerators; Particle beams; Proton accelerators; Quantum mechanics;
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.1991.164722
