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Volumn 66, Issue 5, 1999, Pages 599-607

Schrödinger operators with singular potentials from the space of multiplicators

Author keywords

Generalized function (distribution); Laplace operator; Point interaction; Polyharmonic operator; Resolvent identities; Schr dinger operator; Singular perturbation

Indexed keywords


EID: 22944464221     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02674201     Document Type: Article
Times cited : (29)

References (20)
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  • 3
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    • On point interaction for three-particle systems in quantum mechanics
    • R. A. Minlos and L. D. Faddeev, "On point interaction for three-particle systems in quantum mechanics," Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.], 141, No. 6, 1335-1338 (1961).
    • (1961) Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.] , vol.141 , Issue.6 , pp. 1335-1338
    • Minlos, R.A.1    Faddeev, L.D.2
  • 4
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    • Rank one perturbations at infinite coupling
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    • (1995) J. Funct. Anal. , vol.128 , pp. 245-252
    • Gesztesy, F.1    Simon, B.2
  • 6
    • 0001440491 scopus 로고
    • Rank one perturbations with infinitesimal coupling
    • A. Kiselev and B. Simon, "Rank one perturbations with infinitesimal coupling," J. Funct. Anal., 130, 345-356 (1995).
    • (1995) J. Funct. Anal. , vol.130 , pp. 345-356
    • Kiselev, A.1    Simon, B.2
  • 7
    • 27544512113 scopus 로고
    • On the perturbation of polyharmonic operator by potentials with small supports
    • A. K. Fragela, "On the perturbation of polyharmonic operator by potentials with small supports," Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.], 245, No. 1, 34-36 (1979).
    • (1979) Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.] , vol.245 , Issue.1 , pp. 34-36
    • Fragela, A.K.1
  • 9
    • 0346696593 scopus 로고    scopus 로고
    • Schrödinger operator perturbed by operators related to null-sets
    • V. Koshmanenko, W. Karwowski, and S. Ota, "Schrödinger operator perturbed by operators related to null-sets," Positivity, 2, No. 1, 77-99 (1998).
    • (1998) Positivity , vol.2 , Issue.1 , pp. 77-99
    • Koshmanenko, V.1    Karwowski, W.2    Ota, S.3
  • 12
    • 0040129372 scopus 로고
    • Perturbation theory for a Sturm-Liouville problem with an interior singularity
    • J. Gunson, "Perturbation theory for a Sturm-Liouville problem with an interior singularity," Proc. R. Soc. London. A, 414 (1987).
    • (1987) Proc. R. Soc. London. A , pp. 414
    • Gunson, J.1
  • 13
    • 0141488370 scopus 로고    scopus 로고
    • On the Coulomb potentials in one dimension
    • P. Kurasov, "On the Coulomb potentials in one dimension," J. Phys. A, 29, No. 8, 1767-1771 (1996).
    • (1996) J. Phys. A , vol.29 , Issue.8 , pp. 1767-1771
    • Kurasov, P.1
  • 19
    • 0039801414 scopus 로고    scopus 로고
    • Sturm-Liouville operators with singular potentials
    • A. M. Savchuk and A. A. Shkalikov, "Sturm-Liouville operators with singular potentials," Mat. Zametki [Math. Notes], 64, No. 6 (1999).
    • Mat. Zametki [Math. Notes] , vol.64 , Issue.6 , pp. 1999
    • Savchuk, A.M.1    Shkalikov, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.