期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 44, 期 35, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/44/35/355201
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资金
- Natural Science and Engineering Research Council (NSERC) of Canada
The representations of the Schrodinger group in one space dimension are explicitly constructed in the basis of the harmonic oscillator states. These representations are seen to involve matrix orthogonal polynomials in a discrete variable that have Charlier and Meixner polynomials as building blocks. The underlying Lie-theoretic framework allows for a systematic derivation of the structural formulas (recurrence relations, difference equations, Rodrigues' formula, etc) that these matrix orthogonal polynomials satisfy.
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