<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>The Dicke-type crossings among eigenvalues of differential operators in a class of non-commutative oscillators</dc:title>
<dc:creator>Masao Hirokawa</dc:creator>
<dc:subject>34L05</dc:subject><dc:subject>47A75</dc:subject><dc:subject>81Q10</dc:subject><dc:subject>crossing among eigenvalues</dc:subject><dc:subject>differential operator describing non-commutative oscillator</dc:subject>
<dc:description>We study the Dicke-type crossings among eigenvalues of a type of differential operators describing  the non-commutative oscillator in a class. This class consists of some matrix-valued Schr\&quot;{o}dinger  operators. We will show how the crossings occur for the differential operators in detail. In particular, we are interested in the crossing between the ground state energy and an excited state energy.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2009</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2009.58.3645</dc:identifier>
<dc:source>10.1512/iumj.2009.58.3645</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 1493 - 1536</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>