Semiclassical representation of the scattering matrix by a feynman integral

Communications in Mathematical Physics

Volumn 198, Issue 2, 1998, Pages 407-425

  Fujiié, Setsuro ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032260557     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050483     Document Type: Article

References (9)

1. Brink, D.M.: Semi-classical methods in nucleus-nucleus scattering. Cambridge Monographs on Mathematical Physics, Cambridge: Cambridge University Press
2. Fujiié, S. and Ramond, T.: Matrice de scattering et résonances associées à une orbite hétérocline. To appear in Annales de l'I.H.P. Physique Théorique
3. Fujiié, S. and Ramond, T.: Semiclassical resonances for the radial Schrödinger equation at fixed angular momentum. In preparation
4. Gérard, C. and Grigis, A.: Precise estimates of tunneling and eigenvalues near a potential barrier. J. Diff. Eqs. 72, 149-177 (1988)
5. Helffer, B. and Sjöstrand, J.: Semiclassical analysis of Harper's equation III, Cantor structure of the spectrum. Mém. Soc. Math. France (N.S.) 39, 1-124 (1989)
6. Korsch, H.J.: Semiclassical theory of resonances. Lecture Notes in Physics No. 211, Berlin-Heidelberg-New York: Springer, 1987
7. Lee, S.Y., Takigawa, N. and Marty, C.: A semiclassical study of optical potentials: Potential resonances. Nucl. Phys. A308, 161-188 (1978)
8. Lee, S.Y. and Takigawa. N.: A wave propagation matrix method in semiclassical theory. Nucl. Phys. A308, 189-209 (1978)
9. Ramond, T.: Semiclassical study of quantum scattering on the line. Commun. Math. Phys. 177, 221-254 (1996)