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Multi-variable special polynomials using an operator ordering method
- Source :
- Frontiers of Physics. 15
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- 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.
- Subjects :
- Normalization (statistics)
Physics and Astronomy (miscellaneous)
Computer science
Generating function
01 natural sciences
Algebra
Superposition principle
Operator (computer programming)
Quantum state
0103 physical sciences
Wigner distribution function
Partial derivative
010306 general physics
Commutative property
Subjects
Details
- ISSN :
- 20950470 and 20950462
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Frontiers of Physics
- Accession number :
- edsair.doi...........1f2e48ceb446767bd3fa9646cd7f252a