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Volumn 48, Issue 11, 2007, Pages

Self-adjointness for Dirac operators via Hardy-Dirac inequalities

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EID: 36749056385     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2811950     Document Type: Article
Times cited : (75)

References (13)
  • 1
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    • Relativistic hydrogenic atoms in strong magnetic fields
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    • (2007) Ann. Henri Poincare , vol.84 , pp. 749-799
    • Dolbeault, J.1    Esteban, M.J.2    Loss, M.3
  • 2
    • 4344635402 scopus 로고    scopus 로고
    • An analytical proof of Hardy-like inequalities related to the Dirac operator
    • Dolbeault, J., H., Esteban, M. J., Loss, M., and Vega, L., " An analytical proof of Hardy-like inequalities related to the Dirac operator., " J. Funct. Anal. 216, 1-21 (2004).
    • (2004) J. Funct. Anal. , vol.216 , pp. 1-21
    • Dolbeault, J.H.1    Esteban, M.J.2    Loss, M.3    Vega, L.4
  • 3
    • 0013373561 scopus 로고    scopus 로고
    • On the eigenvalues of operators with gaps. Application to Dirac operators
    • Dolbeault, J., Esteban, M. J., and Śŕ, E., " On the eigenvalues of operators with gaps. Application to Dirac operators., " J. Funct. Anal. 174, pp. 208-226 (2000).
    • (2000) J. Funct. Anal. , vol.174 , pp. 208-226
    • Dolbeault, J.1    Esteban, M.J.2    Śŕ, E.3
  • 5
    • 0042887938 scopus 로고
    • Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators
    • Klaus, M., and Wüst, R., " Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators., " Commun. Math. Phys. 64, 171-176 (1978).
    • (1978) Commun. Math. Phys. , vol.64 , pp. 171-176
    • Klaus, M.1    Wüst, R.2
  • 6
    • 0040845487 scopus 로고
    • Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
    • Nenciu, G., " Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms., " Commun. Math. Phys. 48, 235-247 (1976).
    • (1976) Commun. Math. Phys. , vol.48 , pp. 235-247
    • Nenciu, G.1
  • 8
    • 0007315137 scopus 로고
    • Essential self-adjointness of Dirac operators with strongly singular potential
    • Schmincke, U.-W., " Essential self-adjointness of Dirac operators with strongly singular potential., " Math. Z. 126, 71-81 (1972).
    • (1972) Math. Z. , vol.126 , pp. 71-81
    • Schmincke, U.-W.1
  • 9
    • 0040803257 scopus 로고
    • Distinguished self-adjoint extensions of Dirac operators
    • Schmincke, U.-W., " Distinguished self-adjoint extensions of Dirac operators., " Math. Z. 129, 335-349 (1972).
    • (1972) Math. Z. , vol.129 , pp. 335-349
    • Schmincke, U.-W.1
  • 11
    • 4244153679 scopus 로고
    • A convergence theorem for self-adjoint operators applicable to Dirac operators with cut-off potentials
    • Wüst, R., " A convergence theorem for self-adjoint operators applicable to Dirac operators with cut-off potentials., " Math. Z. 131, 339-349 (1973).
    • (1973) Math. Z. , vol.131 , pp. 339-349
    • Wüst, R.1
  • 12
    • 3042994343 scopus 로고
    • Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials
    • Wüst, R., " Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials., " Math. Z. 141, 93-98 (1975).
    • (1975) Math. Z. , vol.141 , pp. 93-98
    • Wüst, R.1
  • 13
    • 4243427955 scopus 로고
    • Dirac operators with strongly singular potentials
    • Wüst, R., " Dirac operators with strongly singular potentials., " Math. Z. 152, 259-271 (1977).
    • (1977) Math. Z. , vol.152 , pp. 259-271
    • Wüst, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.