2003Mathematische NachrichtenRequires access

Smooth perturbations the self–adjoint operators defined by the ℋ–2–construction

Kazuo Watanabe

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Abstract

Abstract The existence of the wave operators for the self–adjoint operator constructed by ℋ︁–2–construction is discussed in the abstract theory by using Kato's smooth perturbation method. Moreover, the s–matrix is calculated explicitly.

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What this paper is about

Abstract The existence of the wave operators for the self–adjoint operator constructed by ℋ︁–2–construction is discussed in the abstract theory by using Kato's smooth perturbation method. Moreover, the s–matrix is calculated explicitly.

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Available abstract

Abstract The existence of the wave operators for the self–adjoint operator constructed by ℋ︁–2–construction is discussed in the abstract theory by using Kato's smooth perturbation method. Moreover, the s–matrix is calculated explicitly.

Key concepts: Mathematics, Operator (biology), Operator matrix, Pure mathematics, Mathematical analysis, Self-adjoint operator, Perturbation (astronomy), Mathematical physics

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