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Volumn 8, Issue 5, 1996, Pages 715-740

Towards the right Hamiltonian for singular perturbations via regularization and extension theory

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EID: 0030304704     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X96000251     Document Type: Article
Times cited : (7)

References (16)
  • 2
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    • The Birman-Krein-Visik theory of sef-adjoint extensions of semibounded operators
    • A. Alonso and B. Simon, "The Birman-Krein-Visik theory of sef-adjoint extensions of semibounded operators", J. Operator Theory 4 (1980) 251-270.
    • (1980) J. Operator Theory , vol.4 , pp. 251-270
    • Alonso, A.1    Simon, B.2
  • 3
    • 0000891376 scopus 로고
    • On the Weyl function and lacunary Hermitian operators
    • V. A. Derkach and M. M. Malamud, "On the Weyl function and lacunary Hermitian operators", Dokl. Akad. Nauk SSSR 293, no. 5 (1980) 1041-1046.
    • (1980) Dokl. Akad. Nauk SSSR , vol.293 , Issue.5 , pp. 1041-1046
    • Derkach, V.A.1    Malamud, M.M.2
  • 4
    • 0003272522 scopus 로고
    • Self-adjoint operators
    • Springer
    • W. G. Faris, Self-adjoint Operators, Lecture Notes in Math. 433, Springer, 1973.
    • (1973) Lecture Notes in Math. , vol.433
    • Faris, W.G.1
  • 7
    • 0000838947 scopus 로고
    • Removing cut-offs from singular perturbations: An abstract result
    • G. Nenciu, "Removing cut-offs from singular perturbations: an abstract result", Lett. Math. Phys. 7 (1983) 301-306.
    • (1983) Lett. Math. Phys. , vol.7 , pp. 301-306
    • Nenciu, G.1
  • 8
    • 21144474027 scopus 로고
    • Regularization and convergence for singular perturbations
    • H. Neidhardt and V. A. Zagrebnov, "Regularization and convergence for singular perturbations", Commun. Math. Phys. 149 (1992) 573-586.
    • (1992) Commun. Math. Phys. , vol.149 , pp. 573-586
    • Neidhardt, H.1    Zagrebnov, V.A.2
  • 9
    • 0001677081 scopus 로고
    • Singular perturbations, regularization and extension theory
    • Birkhäuser Verlag
    • H. Neidhardt and V. A. Zagrebnov, "Singular perturbations, regularization and extension theory", Operator Theory: Advances and Applications 70, Birkhäuser Verlag, 1994 pp. 299-305.
    • (1994) Operator Theory: Advances and Applications , vol.70 , pp. 299-305
    • Neidhardt, H.1    Zagrebnov, V.A.2
  • 10
    • 85033758352 scopus 로고    scopus 로고
    • On the right Hamiltonian for singular perturbations: General theory
    • submitted
    • H. Neidhardt and V. A. Zagrebnov, "On the right Hamiltonian for singular perturbations: general theory", submitted to Rev. Math. Phys.
    • Rev. Math. Phys.
    • Neidhardt, H.1    Zagrebnov, V.A.2
  • 11
    • 0000837107 scopus 로고
    • Cut-off potentials and form extensions
    • M. Schechter, "Cut-off potentials and form extensions", Lett. Math. Phys. 1 (1976) 265-273.
    • (1976) Lett. Math. Phys. , vol.1 , pp. 265-273
    • Schechter, M.1
  • 14
    • 0001207038 scopus 로고
    • Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations
    • B. Simon, "Quadratic forms and Klauder's phenomenon: a remark on very singular perturbations", J. Funct. Anal. 14 (1973) 295-298.
    • (1973) J. Funct. Anal. , vol.14 , pp. 295-298
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  • 15
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    • B. Simon, Trace Ideals and Their Applications, London Math. Soc. Lecture Series 35, Cambridge Univ. Press, 1979.
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    • Simon, B.1
  • 16
    • 0001102498 scopus 로고
    • On singular potential interactions in quantum statistical mechanics
    • V. A. Zagrebnov, "On singular potential interactions in quantum statistical mechanics", Trans. Moscow Math. Soc. 41 (1980) 101-120.
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    • Zagrebnov, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.