Radially isospectral annular membranes

By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uni...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IMA journal of applied mathematics 2006-08, Vol.71 (4), p.583-589
1. Verfasser: GOTTLIEB, H. P. W
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 589
container_issue 4
container_start_page 583
container_title IMA journal of applied mathematics
container_volume 71
creator GOTTLIEB, H. P. W
description By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uniform membrane. Some new generalizations for completely isospectral annular membranes (including angle-dependent densities) are also given.
doi_str_mv 10.1093/imamat/hxl004
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_212035758</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1107256331</sourcerecordid><originalsourceid>FETCH-LOGICAL-c371t-fd896ced934df6ecbd14f1f707487c9088d6dbf37a55fbbcdb617cfa474becc83</originalsourceid><addsrcrecordid>eNpFkM9LwzAUx4MoOKdH70PQW91LkybNUYbbhIEiE8YuIc0P7EzbmXSw_fd2dLjTO7zv-zy-H4TuMTxjEGRcVqpS7fh77wHoBRpgymhCGKGXaAApTxMqGFyjmxg3AIAzDgP09KlMqbw_jMrYxK3VbVB-pOp651UYVbYqgqptvEVXTvlo705ziL6mr8vJPFm8z94mL4tEE47bxJlcMG2NINQ4ZnVhMHXYceA051pAnhtmCke4yjJXFNoUDHPtFOW0sFrnZIgeeu42NL87G1u5aXah7l7KFKdAMp4dQ0kf0qGJMVgnt6HrHg4SgzyakL0J2Zvo8o8nqIpaedc10mU8H-VAOCPizC1ja_f_exV-JOOEZ3K-Wsv0YybWeDWTS_IH8qlwLA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>212035758</pqid></control><display><type>article</type><title>Radially isospectral annular membranes</title><source>Oxford Journals</source><creator>GOTTLIEB, H. P. W</creator><creatorcontrib>GOTTLIEB, H. P. W</creatorcontrib><description>By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uniform membrane. Some new generalizations for completely isospectral annular membranes (including angle-dependent densities) are also given.</description><identifier>ISSN: 0272-4960</identifier><identifier>EISSN: 1464-3634</identifier><identifier>DOI: 10.1093/imamat/hxl004</identifier><identifier>CODEN: IJAMDM</identifier><language>eng</language><publisher>Oxford: Oxford University Press</publisher><subject>annular membranes ; circular membranes ; density ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; inhomogeneous ; isospectral ; Mathematical analysis ; Mathematics ; Physics ; Sciences and techniques of general use ; Solid mechanics ; Special functions ; Structural and continuum mechanics ; Theory and numerical methods</subject><ispartof>IMA journal of applied mathematics, 2006-08, Vol.71 (4), p.583-589</ispartof><rights>2006 INIST-CNRS</rights><rights>Copyright Oxford University Press(England) Aug 2006</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c371t-fd896ced934df6ecbd14f1f707487c9088d6dbf37a55fbbcdb617cfa474becc83</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=18037639$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>GOTTLIEB, H. P. W</creatorcontrib><title>Radially isospectral annular membranes</title><title>IMA journal of applied mathematics</title><addtitle>IMA J Appl Math</addtitle><description>By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uniform membrane. Some new generalizations for completely isospectral annular membranes (including angle-dependent densities) are also given.</description><subject>annular membranes</subject><subject>circular membranes</subject><subject>density</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>inhomogeneous</subject><subject>isospectral</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Physics</subject><subject>Sciences and techniques of general use</subject><subject>Solid mechanics</subject><subject>Special functions</subject><subject>Structural and continuum mechanics</subject><subject>Theory and numerical methods</subject><issn>0272-4960</issn><issn>1464-3634</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNpFkM9LwzAUx4MoOKdH70PQW91LkybNUYbbhIEiE8YuIc0P7EzbmXSw_fd2dLjTO7zv-zy-H4TuMTxjEGRcVqpS7fh77wHoBRpgymhCGKGXaAApTxMqGFyjmxg3AIAzDgP09KlMqbw_jMrYxK3VbVB-pOp651UYVbYqgqptvEVXTvlo705ziL6mr8vJPFm8z94mL4tEE47bxJlcMG2NINQ4ZnVhMHXYceA051pAnhtmCke4yjJXFNoUDHPtFOW0sFrnZIgeeu42NL87G1u5aXah7l7KFKdAMp4dQ0kf0qGJMVgnt6HrHg4SgzyakL0J2Zvo8o8nqIpaedc10mU8H-VAOCPizC1ja_f_exV-JOOEZ3K-Wsv0YybWeDWTS_IH8qlwLA</recordid><startdate>20060801</startdate><enddate>20060801</enddate><creator>GOTTLIEB, H. P. W</creator><general>Oxford University Press</general><general>Oxford Publishing Limited (England)</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20060801</creationdate><title>Radially isospectral annular membranes</title><author>GOTTLIEB, H. P. W</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c371t-fd896ced934df6ecbd14f1f707487c9088d6dbf37a55fbbcdb617cfa474becc83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>annular membranes</topic><topic>circular membranes</topic><topic>density</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>inhomogeneous</topic><topic>isospectral</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Physics</topic><topic>Sciences and techniques of general use</topic><topic>Solid mechanics</topic><topic>Special functions</topic><topic>Structural and continuum mechanics</topic><topic>Theory and numerical methods</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>GOTTLIEB, H. P. W</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IMA journal of applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>GOTTLIEB, H. P. W</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Radially isospectral annular membranes</atitle><jtitle>IMA journal of applied mathematics</jtitle><addtitle>IMA J Appl Math</addtitle><date>2006-08-01</date><risdate>2006</risdate><volume>71</volume><issue>4</issue><spage>583</spage><epage>589</epage><pages>583-589</pages><issn>0272-4960</issn><eissn>1464-3634</eissn><coden>IJAMDM</coden><abstract>By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uniform membrane. Some new generalizations for completely isospectral annular membranes (including angle-dependent densities) are also given.</abstract><cop>Oxford</cop><pub>Oxford University Press</pub><doi>10.1093/imamat/hxl004</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0272-4960
ispartof IMA journal of applied mathematics, 2006-08, Vol.71 (4), p.583-589
issn 0272-4960
1464-3634
language eng
recordid cdi_proquest_journals_212035758
source Oxford Journals
subjects annular membranes
circular membranes
density
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
inhomogeneous
isospectral
Mathematical analysis
Mathematics
Physics
Sciences and techniques of general use
Solid mechanics
Special functions
Structural and continuum mechanics
Theory and numerical methods
title Radially isospectral annular membranes
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T16%3A52%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Radially%20isospectral%20annular%20membranes&rft.jtitle=IMA%20journal%20of%20applied%20mathematics&rft.au=GOTTLIEB,%20H.%20P.%20W&rft.date=2006-08-01&rft.volume=71&rft.issue=4&rft.spage=583&rft.epage=589&rft.pages=583-589&rft.issn=0272-4960&rft.eissn=1464-3634&rft.coden=IJAMDM&rft_id=info:doi/10.1093/imamat/hxl004&rft_dat=%3Cproquest_cross%3E1107256331%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=212035758&rft_id=info:pmid/&rfr_iscdi=true