The generalization of the binomial theorem

DOI10.1063/1.528457zbMath0664.46077OpenAlexW1965747990MaRDI QIDQ3814249

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528457

zbMATH Keywords

energy eigenvaluescommutatormatrix elementsbinomial theoremCauchy's integral theoremBaker-Campbell-Hausdorff seriesgeneralized binomial formulaone-dimensional harmonic oscillator representation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

A high-precision study of anharmonic-oscillator spectra ⋮ Composition of Lorentz transformations in terms of their generators

Cites Work

• Taylor's theorem for shift operators
• Closed formulas for one- and two-center harmonic oscillator integrals
• Recurrence relations for two-center harmonic oscillator integrals
• The Radiation Theories of Tomonaga, Schwinger, and Feynman
• An Operator Calculus Having Applications in Quantum Electrodynamics
• On the exponential solution of differential equations for a linear operator

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