## Abstract

Scattering phase are defined in terms of asymptotics of solutions of the Schroedinger equation behaving as standing waves at infinity. The scattering phases are connected in a simple way with the eigenvalues of the unitary operator {Sigma} = S{Iota} where S is the scattering matrix and {Iota} is the reflection operator. The eigenvalues of {Sigma} can accumulate only at the points 1 and -1. It is shown that the leading terms of their asymptotics are determined only by the asymptotics of the even part of the potential at infinity. Explicit expressions for these terms are obtained. (au).

## Citation Formats

Yafaev, D R.
On the asymptotics of scattering phases for the Schroedinger equation.
Sweden: N. p.,
1989.
Web.

Yafaev, D R.
On the asymptotics of scattering phases for the Schroedinger equation.
Sweden.

Yafaev, D R.
1989.
"On the asymptotics of scattering phases for the Schroedinger equation."
Sweden.

@misc{etde_10111531,

title = {On the asymptotics of scattering phases for the Schroedinger equation}

author = {Yafaev, D R}

abstractNote = {Scattering phase are defined in terms of asymptotics of solutions of the Schroedinger equation behaving as standing waves at infinity. The scattering phases are connected in a simple way with the eigenvalues of the unitary operator {Sigma} = S{Iota} where S is the scattering matrix and {Iota} is the reflection operator. The eigenvalues of {Sigma} can accumulate only at the points 1 and -1. It is shown that the leading terms of their asymptotics are determined only by the asymptotics of the even part of the potential at infinity. Explicit expressions for these terms are obtained. (au).}

place = {Sweden}

year = {1989}

month = {Dec}

}

title = {On the asymptotics of scattering phases for the Schroedinger equation}

author = {Yafaev, D R}

abstractNote = {Scattering phase are defined in terms of asymptotics of solutions of the Schroedinger equation behaving as standing waves at infinity. The scattering phases are connected in a simple way with the eigenvalues of the unitary operator {Sigma} = S{Iota} where S is the scattering matrix and {Iota} is the reflection operator. The eigenvalues of {Sigma} can accumulate only at the points 1 and -1. It is shown that the leading terms of their asymptotics are determined only by the asymptotics of the even part of the potential at infinity. Explicit expressions for these terms are obtained. (au).}

place = {Sweden}

year = {1989}

month = {Dec}

}