Abstract
Results on time-delay in potential scattering theory are given using properties of the generator of dilations (“geometric” method).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Amrein, W.O., Jauch, J.M., Sinha, K.B.: Scattering theory in quantum mechanics. Reading, Mass.: W.A. Benjamin Inc. 1977
Amrein, W.O., Wollenberg, M.: Proc. R. Soc. (Edinburgh) Sect. A87, 219–230 (1981)
Babbitt, D., Balslev, E.: J. Math. Anal. Appl.54, 316–349 (1976)
Balslev, E.: J. Funct. Anal.29, 375–396 (1978)
Bollé, D., Osborn, T.A.: Phys. Rev. D13, 299–311 (1976)
Davies, E.B.: Energy dependence of the scattering operator (preprint)
Eisenbud, L.: Dissertation, Princeton University, 1948 (unpublished)
Enss, V.: Geometric methods in spectral and scattering theory of Schrödinger operators. In: Rigorous atomic and molecular physics. Velo, G., Wightmann, A.S. (eds.). New York: Plenum 1981
Gustafson, K., Sinha, K.: Lett. Math. Phys.4, 381–385 (1980)
Jauch, J.M., Marchand, J.-P.: Helv. Phys. Acta40, 217–229 (1967)
Jauch, J.M., Sinha, K., Misra, B.: Helv. Phys. Acta45, 398–426 (1972)
Jensen, A., Kato, T.: Comm. P.D.E.3, 1165–1195 (1978)
Jensen, A., Kato, T.: Duke Math. J.46, 583–611 (1979)
Kato, T.: Math. Ann.162, 258–279 (1966)
Kato, T.: Studia Math.31, 535–546 (1968)
Kuroda, S.T.: J. Math. Soc. Japan.25, 75–104, 222–234 (1973)
Lavine, R.: Ind. Univ. Math. J.21, 643–656 (1972)
Lavine, R.: Commutators and local decay. In: Scattering theory in mathematical physics, pp. 141–156. LaVita, J.A., Marchand, J.P. (eds.). Holland: Reidel, Dordrecht 1974
Lax, P., Phillips, R.: The time delay operator and a related trace formula. In: Topics in functional analysis, pp. 197–215. Gohberg, I., Kac, M. (eds.). New York: Academic Press 1978
Martin, Ph.A.: Commun. Math. Phys.47, 221–227 (1976)
Mourre, E.: Commun. Math. Phys.68, 91–94 (1979)
Murata, M.: High energy resolvent estimates. II. Higher order elliptic operators (preprint)
Narnhofer, H.: Phys. Rev. D22, 2387–2390 (1980)
Perry, P.: Duke Math. J.47, 187–193 (1980)
Reed, M., Simon, B.: Methods of modern mathematical physics. III. Scattering theory. New York: Academic Press 1979
Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York: Academic Press 1978
Smith, F.T.: Phys. Rev.118, 349–356 (1960)
Stein, E.M.: Singular integrals and differentiability properties of functions. Princeton: Princeton University Press 1970
Wigner, E.P.: Phys. Rev.98, 145–147 (1955)
Yafaev, D.R.: On the proof of Enss of asymptotic completeness in potential scattering theory (preprint)
Perry, P.: Commun. Math. Phys.81, 243–259 (1981)
Author information
Authors and Affiliations
Additional information
Communicated by B. Simon
Rights and permissions
About this article
Cite this article
Jensen, A. Time-delay in potential scattering theory. Commun.Math. Phys. 82, 435–456 (1981). https://doi.org/10.1007/BF01237049
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01237049