A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators
DOI10.1515/gmj-2023-2038OpenAlexW4385246347MaRDI QIDQ6084465
D. K. Ugulawa, David N. Zarnadze
Publication date: 30 November 2023
Published in: Georgian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/gmj-2023-2038
canonical commutation relationpositionHeisenberg uncertainty principlemomentum operatorsHamiltonian of quantum harmonic oscillatororbit of operator
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Other elementary particle theory in quantum theory (81V25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Orbital mechanics (70M20) Operators arising in mathematical physics (47B93)
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