Multi-variable special polynomials using an operator ordering method
Using an operator ordering method for some commutative superposition operators, we introduce two new multi-variable special polynomials and their generating functions, and present some new operator identities and integral formulas involving the two special polynomials. Instead of calculating complic...
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Veröffentlicht in: | Frontiers of physics 2020-10, Vol.15 (5), p.52501, Article 52501 |
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Hauptverfasser: | , , , , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | Using an operator ordering method for some commutative superposition operators, we introduce two new multi-variable special polynomials and their generating functions, and present some new operator identities and integral formulas involving the two special polynomials. Instead of calculating complicated partial differential, we use the special polynomials and their generating functions to concisely address the normalization, photocount distributions and Wigner distributions of several quantum states that can be realized physically, the results of which provide real convenience for further investigating the properties and applications of these states. |
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ISSN: | 2095-0462 2095-0470 |
DOI: | 10.1007/s11467-020-0967-3 |