A beam dynamics design of 352.2 MHz radio-frequency quadrupole(RFQ) of Turkish Accelerator Center(TAC) project which accelerates continuous wave(CW) proton beam with 30 m A current from 50 ke V to3 Me V kinetic energy...A beam dynamics design of 352.2 MHz radio-frequency quadrupole(RFQ) of Turkish Accelerator Center(TAC) project which accelerates continuous wave(CW) proton beam with 30 m A current from 50 ke V to3 Me V kinetic energy has been performed in this study. Also, it includes error analysis of the RFQ, in which some fluctuations have been introduced to input beam parameters to see how the output beam parameters are affected, two-dimensional(2-D) and three-dimensional(3-D) electromagnetic structural design of the RFQ to obtain optimum cavity paramaters that agree with the ones of the beam dynamics. The beam dynamics and error analysis of the RFQ have been done by using LIDOS.RFQ. Electromagnetic design parameters have been obtained by using SUPERFISH for 2-D cavity geometry and CST Microwave Studio for 3-D cavity geometry.展开更多
In mathematical physics the main goal of quantum mechanics is to obtain the energy spectrum of an atomic system.In many practices,Schrodinger equation which is a second order and linear differential equation is solved...In mathematical physics the main goal of quantum mechanics is to obtain the energy spectrum of an atomic system.In many practices,Schrodinger equation which is a second order and linear differential equation is solved to do this analysis.There are many theoretic mathematical methods serving this purpose.We use Asymptotic Iteration Method(AIM) to obtain the energy eigenvalues of Schrodinger equation in N-dimensional euclidean space for a potential class given as αr^(2d-2)-βr^(d-2).We also obtain a restriction on the eigenvalues that gives degeneracies.Besides,we crosscheck the eigenvalues and degeneracies using the perturbation theory in the view of the AIM.展开更多
基金Supported by the Turkish State Planning Organization(DPT)(No.DPT-2006K120470)
文摘A beam dynamics design of 352.2 MHz radio-frequency quadrupole(RFQ) of Turkish Accelerator Center(TAC) project which accelerates continuous wave(CW) proton beam with 30 m A current from 50 ke V to3 Me V kinetic energy has been performed in this study. Also, it includes error analysis of the RFQ, in which some fluctuations have been introduced to input beam parameters to see how the output beam parameters are affected, two-dimensional(2-D) and three-dimensional(3-D) electromagnetic structural design of the RFQ to obtain optimum cavity paramaters that agree with the ones of the beam dynamics. The beam dynamics and error analysis of the RFQ have been done by using LIDOS.RFQ. Electromagnetic design parameters have been obtained by using SUPERFISH for 2-D cavity geometry and CST Microwave Studio for 3-D cavity geometry.
文摘In mathematical physics the main goal of quantum mechanics is to obtain the energy spectrum of an atomic system.In many practices,Schrodinger equation which is a second order and linear differential equation is solved to do this analysis.There are many theoretic mathematical methods serving this purpose.We use Asymptotic Iteration Method(AIM) to obtain the energy eigenvalues of Schrodinger equation in N-dimensional euclidean space for a potential class given as αr^(2d-2)-βr^(d-2).We also obtain a restriction on the eigenvalues that gives degeneracies.Besides,we crosscheck the eigenvalues and degeneracies using the perturbation theory in the view of the AIM.
