메뉴 건너뛰기




Volumn 41, Issue 1, 1997, Pages 79-92

Pseudo-Differential Operators with Point Interactions

Author keywords

Extension theory; Krein's formula; Point interactions; Pseudo differential operators; Spectral theory; Symmetric operators

Indexed keywords


EID: 1842684759     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007370120698     Document Type: Article
Times cited : (18)

References (19)
  • 3
    • 1842702264 scopus 로고    scopus 로고
    • Albeverio, S. and Makarov, K.: in preparation
    • Albeverio, S. and Makarov, K.: in preparation.
  • 4
    • 0002781662 scopus 로고
    • The Birman-Krein-Vishik theory of self-adjoint extensions of semibounded operators
    • Alonso, A. and Simon, B.: The Birman-Krein-Vishik theory of self-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
  • 6
    • 0003056926 scopus 로고
    • Relativistic Schrödinger operators. Asymptotic behaviour of the eigenfunctions
    • Carmona, R., Masters, W. C. and Simon, B.: Relativistic Schrödinger operators. Asymptotic behaviour of the eigenfunctions, J. Funct. Anal. 91 (1990), 117-142.
    • (1990) J. Funct. Anal. , vol.91 , pp. 117-142
    • Carmona, R.1    Masters, W.C.2    Simon, B.3
  • 7
    • 0000984614 scopus 로고
    • One-electron relativistic molecules with Coulomb interaction
    • Daubechies, I. and Lieb, E.: One-electron relativistic molecules with Coulomb interaction, Comm. Math. Phys. 90 (1983), 497-510.
    • (1983) Comm. Math. Phys. , vol.90 , pp. 497-510
    • Daubechies, I.1    Lieb, E.2
  • 9
    • 0002154052 scopus 로고
    • Schrödinger problem, Levy processes, and noise in relativistic quantum mechanics
    • Garbachewski, P., Klauder, J. R. and Olkiewicz, R.: Schrödinger problem, Levy processes, and noise in relativistic quantum mechanics, Phys. Rev. E 51(5) (1995), 4114-4131.
    • (1995) Phys. Rev. E , vol.51 , Issue.5 , pp. 4114-4131
    • Garbachewski, P.1    Klauder, J.R.2    Olkiewicz, R.3
  • 11
    • 0007387132 scopus 로고
    • Some Dirichlet forms generated by pseudo-differential operators
    • Hoh, W. and Jacob, N.: Some Dirichlet forms generated by pseudo-differential operators, Bull. Sci. Math. (2) 116 (1992), 383-398.
    • (1992) Bull. Sci. Math. (2) , vol.116 , pp. 383-398
    • Hoh, W.1    Jacob, N.2
  • 13
    • 0040466176 scopus 로고
    • Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
    • Ichinose, T. and Tamura, H.: Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field, Comm. Math. Phys. 105 (1986), 239-257.
    • (1986) Comm. Math. Phys. , vol.105 , pp. 239-257
    • Ichinose, T.1    Tamura, H.2
  • 14
    • 0043220318 scopus 로고
    • Path integral for the relativistic Schrödinger semigroup
    • Ichinose, T.: Path integral for the relativistic Schrödinger semigroup, Operator Theory: Adv. Appl. 78 (1995), 191-197.
    • (1995) Operator Theory: Adv. Appl. , vol.78 , pp. 191-197
    • Ichinose, T.1
  • 16
    • 0002667676 scopus 로고
    • The stability and instability of relativistic matter
    • Lieb, E. and Yau, H. T.: The stability and instability of relativistic matter, Comm. Math. Phys. 118 (1988), 177-213.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 177-213
    • Lieb, E.1    Yau, H.T.2
  • 17
    • 0000296262 scopus 로고
    • Boundary conditions on thin manifolds and the semiboundedness of the three-particle Schrödinger operator with pointwise potential
    • Pavlov, B.: Boundary conditions on thin manifolds and the semiboundedness of the three-particle Schrödinger operator with pointwise potential, Math USSR-Sb. 64 (1989), 161-174.
    • (1989) Math USSR-Sb. , vol.64 , pp. 161-174
    • Pavlov, B.1
  • 18
    • 0013331805 scopus 로고
    • Absolutely continuous spectra of relativistic Schrödinger operators with magnetic vector potentials
    • Umeda, T.: Absolutely continuous spectra of relativistic Schrödinger operators with magnetic vector potentials, Proc. Japan Acad. Ser. A 70 (1994), 290-291.
    • (1994) Proc. Japan Acad. Ser. A , vol.70 , pp. 290-291
    • Umeda, T.1
  • 19
    • 0040568178 scopus 로고
    • Spectral analysis of pseudo-differential operators
    • Weder, R. A.: Spectral analysis of pseudo-differential operators, J. Funct. Anal. 20 (1975), 319-337.
    • (1975) J. Funct. Anal. , vol.20 , pp. 319-337
    • Weder, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.