Stepanenko, Alexei
2021.
Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers.
Integral Equations and Operator Theory
93
, 60.
10.1007/s00020-021-02675-z
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License URL: http://creativecommons.org/licenses/by/4.0/
License Start date: 15 November 2021
Official URL: https://doi.org/10.1007/s00020-021-02675-z
Abstract
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L1(0,∞) and γ>0 . Bounds for the maximum magnitude of an eigenvalue and for the number of eigenvalues are proved. These bounds complement existing general bounds applied to this system, for sufficiently large R.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | Springer |
| ISSN: | 0378-620X |
| Funders: | EPSRC |
| Date of First Compliant Deposit: | 21 March 2023 |
| Date of Acceptance: | 5 October 2021 |
| Last Modified: | 03 May 2023 18:59 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/157856 |
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