Polynomials and operator orderings

DOI10.1063/1.527869zbMath0709.46501OpenAlexW1991484205MaRDI QIDQ3492173

Gerald V. Dunne, Carl M. Bender

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527869

Mathematics Subject Classification ID

Functional analysis (46-XX) Quantum theory (81-XX)

Related Items (13)

Ordered products, W∞-algebra, and two-variable, definite-parity, orthogonal polynomials ⋮ Discrete time quantum mechanics ⋮ Transformation properties of the Schrödinger equation with the momentum-dependent potential (x⋅∇)2ord ⋮ SOLVING OPERATOR DIFFERENTIAL EQUATIONS IN TERMS OF THE WEYL-ORDERED POLYNOMIALS ⋮ Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ WEYL-ORDERED POLYNOMIALS STUDIED BY VIRTUE OF THE IWWOP TECHNIQUE ⋮ Operator orderings and Meixner-Pollaczek polynomials ⋮ Underdetermined systems of partial differential equations ⋮ From sequences to polynomials and back, via operator orderings ⋮ Quantizations of the classical time of arrival and their dynamics ⋮ Orthogonal polynomials and operator orderings ⋮ Multiple-Scale Analysis of the Quantum Anharmonic Oscillator ⋮ Matrix representation of the time operator

Cites Work

• The Hahn and Meixner polynomials of an imaginary argument and some of their applications
• Continuous Hahn polynomials
• Continuous Hahn polynomials and the Heisenberg algebra
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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