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Volumn 194, Issue 1, 1998, Pages 109-134

Quasi-classical asymptotics for the Pauli operator

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EID: 0032474125     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050351     Document Type: Article
Times cited : (7)

References (14)
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    • Colin de Verdiere, Y.: L'asymptotique de Weyl pour les bouteilles magnetiques. Commun. Math. Phys. 105, 327-335 (1986)
    • (1986) Commun. Math. Phys. , vol.105 , pp. 327-335
    • Colin De Verdiere, Y.1
  • 3
    • 0003794206 scopus 로고
    • Schrödinger operators with application to quantum mechanics and global geometry
    • Berlin: Springer
    • Cycon, H.L., Fröse, R.G., Kirsch, W., Simon, B.: Schrödinger operators with application to quantum mechanics and global geometry. Texts and Monographs in Physics, Berlin: Springer, 1987
    • (1987) Texts and Monographs in Physics
    • Cycon, H.L.1    Fröse, R.G.2    Kirsch, W.3    Simon, B.4
  • 4
    • 0000798363 scopus 로고
    • Ground states in a periodic field. Magnetic Bloch functions and vector bundles
    • Dubrovin, B.A., Novikov, S.P.: Ground states in a periodic field. Magnetic Bloch functions and vector bundles. Soviet Math. Dokl. 22, 1, 240-244 (1980)
    • (1980) Soviet Math. Dokl. , vol.22 , Issue.1 , pp. 240-244
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 6
    • 0033555077 scopus 로고    scopus 로고
    • Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, I. Non-asymptotic Lieb-Thirring estimate
    • Erdos, L., Solovej, J.P.: Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, I. Non-asymptotic Lieb-Thirring estimate. To appear in Duke Math. J.
    • Duke Math. J.
    • Erdos, L.1    Solovej, J.P.2
  • 7
    • 0031256665 scopus 로고    scopus 로고
    • Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, II. Leading order asymptotic estimates
    • Erdos, L., Solovej, J.P.: Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, II.Leading order asymptotic estimates. Commun. Math. Phys. 188, 599-656 (1997)
    • (1997) Commun. Math. Phys. , vol.188 , pp. 599-656
    • Erdos, L.1    Solovej, J.P.2
  • 8
    • 21344498680 scopus 로고
    • Asymptotics of heavy atoms in high magnetic fields: II. Semi-classical regions
    • Lieb, E.H., Solovej, J.P., Yngvason, J.: Asymptotics of heavy atoms in high magnetic fields: II. Semi-classical regions. Commun. Math. Phys. 161, 77-124 (1994)
    • (1994) Commun. Math. Phys. , vol.161 , pp. 77-124
    • Lieb, E.H.1    Solovej, J.P.2    Yngvason, J.3
  • 9
    • 0001674272 scopus 로고
    • Ground states of large quantum dots in magnetic fields
    • Lieb, E.H., Solovej, J.P., Yngvason, J.: Ground states of large quantum dots in magnetic fields. Phys. Rev. B 51, 10646-10665 (1995)
    • (1995) Phys. Rev. B , vol.51 , pp. 10646-10665
    • Lieb, E.H.1    Solovej, J.P.2    Yngvason, J.3
  • 10
    • 0001226529 scopus 로고
    • Stability of Coulomb systems with magnetic fields III. Zero energy bound states of the Pauli operator
    • Loss, M., Yau, H.-T.: Stability of Coulomb systems with magnetic fields III. Zero energy bound states of the Pauli operator. Commun. Math. Phys. 104, 283-290 (1986)
    • (1986) Commun. Math. Phys. , vol.104 , pp. 283-290
    • Loss, M.1    Yau, H.-T.2
  • 11
    • 0000487708 scopus 로고    scopus 로고
    • On the Lieb-Thirring estimates for the Pauli operator
    • Sobolev, A.V.: On the Lieb-Thirring estimates for the Pauli operator. Duke Math. J. 82, 607-635 (1996)
    • (1996) Duke Math. J. , vol.82 , pp. 607-635
    • Sobolev, A.V.1
  • 12
    • 0009366984 scopus 로고    scopus 로고
    • Lieb-Thirring inequalities for the Pauli operator in three dimensions
    • Quasiclassical Methods, Eds: J. Rauch, B. Simon
    • Sobolev, A.V.: Lieb-Thirring inequalities for the Pauli operator in three dimensions. In: Quasiclassical Methods, Eds: J. Rauch, B. Simon, IMA Volumes in Mathematics and its Applications, vol 95, pp. 155-188
    • IMA Volumes in Mathematics and Its Applications , vol.95 , pp. 155-188
    • Sobolev, A.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.