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