LOCAL EXACT CONTROLLABILITY OF SCHR&#214;DINGER EQUATION WITH STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS | Zendy

Jian Zu | Zendy; Yong Li | Zendy

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LOCAL EXACT CONTROLLABILITY OF SCHRÖDINGER EQUATION WITH STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS

Author(s) -

Jian Zu,

Yong Li

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016054

Subject(s) - mathematics , controllability , sturm–liouville theory , boundary value problem , mathematical analysis , sobolev space , dirichlet boundary condition , boundary values , cauchy boundary condition , dirichlet distribution , bilinear interpolation , bilinear form , mixed boundary condition , statistics

In this paper, we investigate the controllability of 1D bilinear Schrödinger equation with Sturm-Liouville boundary value condition. The system represents a quantumn particle controlled by an electric field. K. Beauchard and C. Laurent have proved local controllability of 1D bilinear Schrödinger equation with Dirichlet boundary value condition in some suitable Sobolev space based on the classical inverse mapping theorem. Using a similar method, we extend this result to Sturm-Liouville boundary value proplems.

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