On calculating the coefficients in the quantum averaging procedure for the Hamiltonian of the resonance harmonic oscillator perturbed by a differential operator with polynomial coefficients
DOI10.1134/S1061920821030134zbMath1479.81021OpenAlexW3157773226WikidataQ114075047 ScholiaQ114075047MaRDI QIDQ2239367
Publication date: 3 November 2021
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920821030134
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Spinor and twistor methods applied to problems in quantum theory (81R25) Operator algebra methods applied to problems in quantum theory (81R15) Resonance in context of PDEs (35B34)
Cites Work
- Algebra of symmetries of three-frequency resonance: reduction of a reducible case to an irreducible case
- Quantum Birkhoff normal forms
- Spectral asymptotics via the semiclassical Birkhoff normal form
- Algebra of symmetries of three-frequency hyperbolic resonance
- Algebra and quantum geometry of multifrequency resonance
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