Relativistic point interactions: Approximation by smooth potentials

Reports on Mathematical Physics

Volumn 39, Issue 3, 1997, Pages 425-432

  Hughes, Rhonda J ^a  

^a BRYN MAWR COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031161632     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0034-4877(97)89757-1     Document Type: Article

References (20)

1. [1] S. Albeverio, F. Gesztesy, R. Hoegh-Krohn and H. Holden: Solvable Models in Quantum Mechanics, Springer, New York 1988.
2. [2] S. Benvegnù and L. Da̧browski: Lett. Math. Phys. 30 (1994), 159.
3. [3] K. V. Bhagwat and R. Subramanian: Physica 62 (1972), 614.
4. [4] R. Cirincione and P. Chernoff: Commun. Math. Phys. 79 (1981), 33.
5. [5] P. Chernoff and R. Hughes: J. Funct. Anal. 111 (1993), 97.
6. [6] E. B. Davies: J. Funct. Anal. 25 (1977), 81.
7. [7] P. Falkensteiner and H. Grosse: Lett. Math. Phys. 14 (1987), 139.
8. [8] F. Gesztesy and W. Kirsch: J. Reine Angew. Math. 362 (1985), 28.
9. [9] F. Gesztesy and P. Šeba: Lett. Math. Phys. 13 (1987), 345.
10. [10] R. Hughes: Lett. Math. Phys. 34 (1995), 395.
11. [11] M. Reed and B. Simon: Methods of Modem Mathematical Physics, Vol. II: Fourier Analysis, Self-Adjointness, Academic Press, New York 1975.
12. [12] P. Šeba: Rep. Math. Phys. 24 (1986), 111.
13. [13] P. Šeba: Czechoslovak J. Phys. B 36 (1986), 667.
14. [14] P. Šeba: Ann. Physik 44 (1987), 323.
15. [15] P. Šeba: Lett. Math. Phys. 18 (1989), 77.
16. [16] I. Segal: Singular perturbations of semigroup generators, in Linear Operators and Approximation, Proc. Conf. Oberwohlfach, 1971, pp. 54-61, Internat. Ser. Numer. Math., Vol. 20, Birkhäuser, Basel 1972.
17. [16] I. Segal: Singular perturbations of semigroup generators, in Linear Operators and Approximation, Proc. Conf. Oberwohlfach, 1971, pp. 54-61, Internat. Ser. Numer. Math., Vol. 20, Birkhäuser, Basel 1972.
18. [17] R. Subramanian and K. V. Bhagwat: J. Phys. C5 (1972), 798.
19. [18] B. Sutherland and D. C. Mattis: Phys. Rev. A24 (1981), 1194.
20. [19] K. Veselić: Commun. Math. Phys. 22 (1971), 27.