메뉴 건너뛰기




Volumn 254, Issue 2, 2005, Pages 361-366

On the absolutely continuous spectrum of multi-dimensional schrödinger operators with slowly decaying potentials

Author keywords

[No Author keywords available]

Indexed keywords


EID: 13244279585     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1161-0     Document Type: Article
Times cited : (17)

References (18)
  • 1
    • 0347334708 scopus 로고    scopus 로고
    • Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results
    • Christ, M., Kiselev, A.: Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. J. Am. Math. Soc. 11, 771-797 (1998)
    • (1998) J. Am. Math. Soc. , vol.11 , pp. 771-797
    • Christ, M.1    Kiselev, A.2
  • 2
    • 0042744090 scopus 로고    scopus 로고
    • Variational estimates for discrete Schrödinger operators with potentials of indefinite sign
    • Damanik, D., Hundertmark, D., Killip, R., Simon, B.: Variational estimates for discrete Schrödinger operators with potentials of indefinite sign. Commun. Math. Phys. 238, 545-562 (2003)
    • (2003) Commun. Math. Phys. , vol.238 , pp. 545-562
    • Damanik, D.1    Hundertmark, D.2    Killip, R.3    Simon, B.4
  • 3
    • 0347604045 scopus 로고    scopus 로고
    • Bound states and the Szegö condition for Jacobi matrices and Schrödinger operators
    • Damanik, D., Hundertmark, D., Simon, B.: Bound states and the Szegö condition for Jacobi matrices and Schrödinger operators. J. Funct. Anal. 205, 357-379 (2003)
    • (2003) J. Funct. Anal. , vol.205 , pp. 357-379
    • Damanik, D.1    Hundertmark, D.2    Simon, B.3
  • 4
    • 12144251598 scopus 로고    scopus 로고
    • Half-line Schrödinger operators with no bound states
    • To appear in
    • Damanik, D., Killip, R.: Half-line Schrödinger operators with no bound states. To appear in Acta Math.
    • Acta Math.
    • Damanik, D.1    Killip, R.2
  • 5
    • 2142795885 scopus 로고    scopus 로고
    • Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators
    • Damanik, D., Killip, R., Simon, B.: Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators. IMRN 22, 1087-1097 (2004)
    • (2004) IMRN , vol.22 , pp. 1087-1097
    • Damanik, D.1    Killip, R.2    Simon, B.3
  • 6
    • 0007035802 scopus 로고    scopus 로고
    • On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
    • Deift, P., Killip, R.: On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials. Commun. Math. Phys. 203, 341-347 (1999)
    • (1999) Commun. Math. Phys. , vol.203 , pp. 341-347
    • Deift, P.1    Killip, R.2
  • 7
    • 0038626232 scopus 로고    scopus 로고
    • On the coexistence of absolutely continuous and singular continuous components of the spectral measure for some Sturm-Liouville operators with square summable potentials
    • Denisov, S.A.: On the coexistence of absolutely continuous and singular continuous components of the spectral measure for some Sturm-Liouville operators with square summable potentials. J. Diff. Eqs. 191, 90-104 (2003)
    • (2003) J. Diff. Eqs. , vol.191 , pp. 90-104
    • Denisov, S.A.1
  • 9
    • 0007080110 scopus 로고    scopus 로고
    • Absolutely continuous spectrum of Schrodinger operators and Fourier transform of the potential
    • Denisov, S.A.: Absolutely continuous spectrum of Schrodinger operators and Fourier transform of the potential. Russ. J. Math. Phys. 8(N1), 14-24 (2001)
    • (2001) Russ. J. Math. Phys. , vol.8 , Issue.N1 , pp. 14-24
    • Denisov, S.A.1
  • 10
    • 0036747249 scopus 로고    scopus 로고
    • Lieb-Thirring inequalities for Jacobi matrices
    • Hundertmark, D., Simon, B.: Lieb-Thirring inequalities for Jacobi matrices. J. Aprox. Theory. 118 (1), 106-130 (2002)
    • (2002) J. Aprox. Theory. , vol.118 , Issue.1 , pp. 106-130
    • Hundertmark, D.1    Simon, B.2
  • 11
    • 0036401805 scopus 로고    scopus 로고
    • Perturbations of one-dimensional Schrödinger operators preserving the absolutely continuous spectrum
    • Killip, R.: Perturbations of one-dimensional Schrödinger operators preserving the absolutely continuous spectrum. Int. Math. Res. Not. N. 38, 2029-2061 (2002)
    • (2002) Int. Math. Res. Not. N. , vol.38 , pp. 2029-2061
    • Killip, R.1
  • 12
    • 0141614025 scopus 로고    scopus 로고
    • Sum rules for Jacobi matrices and their applications to spectral theory
    • Killip, R., Simon, B.: Sum rules for Jacobi matrices and their applications to spectral theory. Ann. Math. 158, 253-321 (2003)
    • (2003) Ann. Math. , vol.158 , pp. 253-321
    • Killip, R.1    Simon, B.2
  • 13
    • 0040523358 scopus 로고    scopus 로고
    • Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials
    • Kiselev, A.: Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials. Commun. Math. Phys. 179, 377-400 (1996)
    • (1996) Commun. Math. Phys. , vol.179 , pp. 377-400
    • Kiselev, A.1
  • 15
    • 12444289606 scopus 로고    scopus 로고
    • Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials
    • DOI 10.1007/s00220-004-1157-9
    • Laptev, A., Naboko, S., Safronov, O.: Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials. Commun. Math. Phys., DOI 10.1007/s00220-004-1157-9, 2004
    • (2004) Commun. Math. Phys.
    • Laptev, A.1    Naboko, S.2    Safronov, O.3
  • 16
    • 0001325128 scopus 로고
    • Bound for the kinetic energy of fermions which proves the stability of matter
    • Errata Ibid 35, 1116 (1975)
    • Lieb, E.H., Thirring, W.: Bound for the kinetic energy of fermions which proves the stability of matter. Phys. Rev. Lett. 35, 687-689 (1975); Errata Ibid 35, 1116 (1975)
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 687-689
    • Lieb, E.H.1    Thirring, W.2
  • 17
    • 0002624077 scopus 로고
    • Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities
    • Essays in Honor of Valentine Bargmann, Princeton, NJ: Princeton University Press
    • Lieb, E.H., Thirring, W.: Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities. In: Studies in Mathematical Physics. Essays in Honor of Valentine Bargmann, Princeton, NJ: Princeton University Press, 1976, pp. 269-303
    • (1976) Studies in Mathematical Physics , pp. 269-303
    • Lieb, E.H.1    Thirring, W.2
  • 18
    • 0032367056 scopus 로고    scopus 로고
    • The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials
    • Remling, C.: The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Commun. Math. Phys. 193, 151-170 (1998)
    • (1998) Commun. Math. Phys. , vol.193 , pp. 151-170
    • Remling, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.