Asymptotically Outgoing and Incoming Spaces and Quantum Scattering
Kitada, Hitoshi
Commun. Math. Anal., Tome 8 (2010) no. 1, p. 12-25 / Harvested from Project Euclid
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The notion of outgoing and incoming spaces of Lax-Phillips [17] is generalized to asymptotically outgoing and incoming spaces. With this notion of asymptotically outgoing and incoming spaces, it is shown that the existence and asymptotic completeness of wave operators in quantum scattering theory is obtained by a slightly modified proof of Theorem 1.2 in [17].
Publié le : 2010-05-15
Classification:  Schrödinger equation,,  scattering theory,  long-range potentials,  Fourier integral operators,  micro-local analysis,  35P25,  81U05,  47A40,  35J10,  35S30 
@article{1270646491,
     author = {Kitada, Hitoshi},
     title = {Asymptotically Outgoing and Incoming Spaces and Quantum
 Scattering},
     journal = {Commun. Math. Anal.},
     volume = {8},
     number = {1},
     year = {2010},
     pages = { 12-25},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270646491}
}

Kitada, Hitoshi. Asymptotically Outgoing and Incoming Spaces and Quantum
 Scattering. Commun. Math. Anal., Tome 8 (2010) no. 1, pp.  12-25. http://gdmltest.u-ga.fr/item/1270646491/