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A new method of removal of the divergence in the born series: I. Theory

✍ Scribed by B Michalík

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
803 KB
Volume
55
Category
Article
ISSN
0003-4916

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✦ Synopsis

The divergence of the Born series is overcome by a new method presented here. The state vector is transformed into a new one for which the perturbation series already converges. The choice of transformation vectors appearing in the theory is discussed and ideal choice is found. The previously published distortion operator method corresponds for partial waves to a special choice of the transformation vector (not ideal). The method is limited not only to problems of quantum theory, it is applicable to an arbitrary Fredholm integral equation of the second kind.

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