The Schrödinger operator

Authors:
Tian Lixin and Liu Zengrong

Journal:
Proc. Amer. Math. Soc. **126** (1998), 203-211

MSC (1991):
Primary 46C50, 47A20, 47B39, 47B44, 81Q05

DOI:
https://doi.org/10.1090/S0002-9939-98-04014-3

MathSciNet review:
1415351

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we study the maximum dissipative extension of the Schrödinger operator, introduce the generalized indefinite metric space, obtain the representation of the maximum dissipative extension of the Schrödinger operator in the natural boundary space and make preparation for the further study of the longtime chaotic behavior of the infinite-dimensional dynamics system in the Schrödinger equation.

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Additional Information

**Tian Lixin**

Affiliation:
Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212013, People’s Republic of China

Email:
lgj@jsust.edu.cn

**Liu Zengrong**

Affiliation:
Department of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9939-98-04014-3

Received by editor(s):
February 28, 1996

Received by editor(s) in revised form:
July 16, 1996

Additional Notes:
Research supported in part by the National Science Foundation of China and Science-technology Foundation of the Ministry of Machine-building Industry of China

Communicated by:
Christopher D. Sogge

Article copyright:
© Copyright 1998
American Mathematical Society