Complex symmetric operators and semiclassical resonances-Reference-Cited by-同舟云学术

Complex symmetric operators and semiclassical resonances

Published:2018-05-03 Issue:03 Volume:11 Page:1850044
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Messirdi Bekkai¹,Messirdi Sofiane²,Messirdi Miloud³

Affiliation:

1. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Department of Mathematics, Faculty of Exact and Applicable Sciences, University of Oran 1, Algeria

2. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Department of Mathematics, Faculty of Sciences, University of Mostaganem, Algeria

3. Department of Mathematics, Faculty of Sciences, University of Tlemcen, Algeria

Abstract

Unbounded complex symmetric operators on Hilbert space are discussed and various spectral results on these operators are presented in this paper. In addition, we show that the technique of complex scaling allows one to identify the quantum resonances of complex self-adjoint Schrödinger Hamiltonians.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500444

Reference26 articles.

1. PT-symmetric quantum mechanics

2. On the existence of J-selfadjoint extensions of J-symmetric operators with adjoint

3. Conjugation and Clark operators

4. Approximate antilinear eigenvalue problems and related inequalities

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Structure of the Spectra and Resonances of Schrödinger Operators;Momona Ethiopian Journal of Science;2020-04-30