USE OF ANALYTICITY IN CALCULATION OF NONRELATIVISTIC SCATTERING AMPLITUDES

被引:172
作者
SCHLESSI.L
机构
[1] Department of Physics, University of California, Berkeley, CA
[2] Department of Physics, University of Illinois, Urbana, IL
来源
PHYSICAL REVIEW | 1968年 / 167卷 / 05期
关键词
D O I
10.1103/PhysRev.167.1411
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new method of calculating nonrelativistic scattering amplitudes is presented. The scattering amplitude is first calculated as a function of the complex energy below the scattering threshold, and the numerical results are then analytically continued to the physical region. The method is used to calculate two-body and two-channel scattering amplitudes. The numerical analytic continuation is accomplished by a rational-fraction representation similar to the Padé method. Several techniques of numerical analytic continuation by rational fractions are described, and some examples are discussed. © 1968 The American Physical Society.
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页码:1411 / &
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WU TY, 1962, QUANTUM THEORY SCA D