Resolvent convergence of sphere interactions to point interactions

Journal of Mathematical Physics

Volumn 44, Issue 3, 2003, Pages 990-1005

  Shimada, Shin Ichi ^a  

^a SETSUNAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037363119     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1533834     Document Type: Article

References (9)

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4. Hounkonnou, M. N. and Avossevou, G. Y. H., "Relativistic scattering theory for finitely many δ′-sphere interactions supported by concentric spheres," J. Math. Phys. 41, 1735-1744 (2000).
5. Hounkonnou, M. N., Hounkpe, M., and Shabani, J., "Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics," J. Math. Phys. 40, 4255-4273 (1999).
6. Ikebe, T. and Shimada, S., "Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials," J. Math. Kyoto Univ. 31, 219-258 (1991).
7. Jensen, A. and Kato, T., "Spectral properties of Schrödinger operators and time-decay of the wave functions," Duke Math. J. 46, 583-611 (1979).
8. Shimada, S., "The approximation of the Schrödinger operators with penetrable wall potentials in terms of short range Hamiltonians," J. Math. Kyoto Univ. 32, 583-592 (1992).
9. Shimada, S., "Low energy scattering with a penetrable wall interaction," J. Math. Kyoto Univ. 34, 95-147 (1994).