Linked Life Data

12636777

Source:http://linkedlifedata.com/resource/pubmed/id/12636777

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PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
2 Pt 2
pubmed:dateCreated
2003-3-14
pubmed:abstractText
We propose a method of measuring approximate quantum eigenfunctions in polygonalized billiard geometries, based on a quasiclassical evolution operator having a (smoothened) Perron-Frobenius kernel modulated by a phase arising from quantum considerations. Using a plane wave ansatz, we show that the condition under which this is an eigenfunction of the quasiclassical operator is identical to the condition for it to be an eigenfunction of the Schrödinger equation for polygonalized billiards. Finally, we demonstrate this technique by determining the quasiclassical eigenfunctions of the polygonalized stadium billiard using arbitrary trajectories and comparing this with the exact quantum stadium eigenfunctions.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Feb
pubmed:issn
1539-3755
pubmed:author
pubmed:issnType
Print
pubmed:volume
67
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
026208
pubmed:dateRevised
2003-11-4
pubmed:year
2003
pubmed:articleTitle
Measuring billiard eigenfunctions with arbitrary trajectories.
pubmed:affiliation
Theoretical Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India.
pubmed:publicationType
Journal Article