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Journal of Mathematical Physics
Volumn 14, Issue 5, 1973, Pages 594-603
A discrete version of the inverse scattering problem
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0010566748     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1666364     Document Type: Article
Times cited : (137)
References (9)
  • 5
    • 85038151247 scopus 로고    scopus 로고
    • One should remember this when one contemplates passage to the limit [formula omitted] and replace [formula omitted] by [formula omitted] in all pertinent formulas.
  • 6
    • 85038152397 scopus 로고    scopus 로고
    • For example, if [formula omitted] one obtains [formula omitted]
  • 7
    • 85038155672 scopus 로고    scopus 로고
    • The reader will recognize the familiar theorem on the constancy of the Wronskian in one of its discrete versions.
  • 8
    • 5244350871 scopus 로고
    • The reader will recognize this as a discrete version of Levinson’s theorem
    • There are minor technical modifications when there are bound states at the edge of the continuum. Since this is so special, we choose not to consider this case.
    • (1949) Phys. Rev. , vol.75 , pp. 1445
    • Levinson, N.1
  • 9
    • 0001616794 scopus 로고
    • It may be noted that we have sketched here an alternative proof of a theorem of Favard
    • (Paris); This is to the effect that given the appropriate three-term recursion relation one can construct a spectral function. In the main body of the text we have effectively shown the converse. Given the spectral function, we construct the three-term recursion relation.
    • (1935) C. R. Acad. Sci. , vol.200 , pp. 2052
    • Favard, J.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.