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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>Mathematical Sciences</JournalTitle>
<Issn>2251-7456</Issn>
<Volume>16</Volume>
<Issue>3 (September 2022)</Issue>
<PubDate PubStatus="epublish">
<Year>2021</Year>
<Month>06</Month>
<Day>14</Day>
</PubDate>
</Journal>
<ArticleTitle>Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi">10.1007/s40096-021-00417-1</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Seyed Mohammad Ali</FirstName>
<LastName>Aleomraninejad</LastName>
<Affiliation>Department of Mathematics, Qom University of Technology, Qom, IR</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
<Author>
<FirstName>Mehdi</FirstName>
<LastName>Solaimani</LastName>
<Affiliation>Department of Physics, Faculty of Science, Qom University of Technology, Qom, IR</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2021</Year>
<Month>06</Month>
<Day>14</Day>
</PubDate>
</History>
<Abstract>Abstract
The Sinc-Galerkin and Sinc-Collocation methods are presented to solve linear Schrodinger equation and obtain the electronic spectrum of linear Schrodinger equations. Some properties of the Sinc methods required for our subsequent development are given and utilized. In sequel, Sinc-Galerkin method is compared with Sinc-Collocation method. Numerical examples are included to demonstrate the validity and applicability of the presented techniques. We prove that the present methods are easy to implement and yields accurate results. Our main result is also that the Sinc-Collocation method fails for some potentials, but the Sinc-Galerkin method is successful.</Abstract>
<ObjectList>
<Object Type="keyword">
<Param Name="value">Linear Schrodinger equation</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Quantum well potential</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Sinc-Collocation method</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Sinc-Galerkin method</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Electronic spectrum and corresponding wave functions</Param>
</Object>
</ObjectList>
</Article>
</ArticleSet>