The Schrödinger operator

DOI10.1090/S0002-9939-98-04014-3zbMath0889.46023MaRDI QIDQ4372744

Lixin Tian, Zeng-Rong Liu

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorinfinite-dimensional dynamical systemgeneralized indefinite metric spacelongtime chaotic behaviormaximum dissipative extensionnatural boundary space

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dilations, extensions, compressions of linear operators (47A20) Linear difference operators (47B39) Linear accretive operators, dissipative operators, etc. (47B44)

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Cites Work

• Dissipative operators in a Banach space
• The generalized p-normal operators and p-hyponormal operators on Banach space
• Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data
• Semi-classical analysis for the Schrödinger operator and applications
• On the extension problem for dissipative operators
• The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
• Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
• Interior hölder estimates for solutions of schrödinger equations and the regularity of nodal sets
• Fractional Integration, morrey spaces and a schrödinger equation