Spectral problems for the Weyl-ordered form of operators $\left(\frac{1}{\hat{p}}\right)^{n} \hat{q}^{n}$1p̂nq̂n

DOI10.1063/1.3667207zbMath1273.81131OpenAlexW581528180MaRDI QIDQ2853598

Giulio Landolfi, Mariagiovanna Gianfreda

Publication date: 16 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3667207

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Fredholm integral equations (45B05)

Related Items (2)

Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ The Bender-Dunne basis operators as Hilbert space operators

Cites Work

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• A fully consistent Lie algebraic representation of quantum phase and number operators
• Generalized measurement of the non-normal two-boson operator
• -symmetric cubic anharmonic oscillator as a physical model
• Weyl-ordered series form for the angle variable of the time-dependent oscillator

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