Алгебра и квантовая геометрия многочастотного резонанса

Article Properties
Refrences
Title Journal Journal Categories Citations Publication Date
Resonance gyrons and quantum geometry 2007
Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields 2005
Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances 2005
Алгебра с полиномиальными коммутационными соотношениями для эффекта Зеемана - Штарка в атоме водорода Teoreticheskaya i Matematicheskaya Fizika 10 2005
Non-Lie permutation relations, coherent states, and quantum embedding 1998
Citations
Title Journal Journal Categories Citations Publication Date
Semiclassical Asymptotics of Oscillating Tunneling for a Quadratic Hamiltonian on the Algebra $\operatorname{su}(1,1)$

 Matematicheskie Zametki 2022
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 Russian Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
 2021
New Approach to the Procedure of Quantum Averaging for the Hamiltonian of a Resonance Harmonic Oscillator with Polynomial Perturbation for the Example of the Spectral Problem for the Cylindrical Penning Trap

 Matematicheskie Zametki 1 2021
Algebra of Symmetries of Three-Frequency Hyperbolic Resonance Mathematical Notes
  • Science: Mathematics
 1 2019
Algebra of Symmetries of Three-Frequency Resonance: Reduction of a Reducible Case to an Irreducible Case Mathematical Notes
  • Science: Mathematics
 2018
Citations Analysis
Category Category Repetition
Science: Mathematics6
Science: Physics3
The category Science: Mathematics 6 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Cubic algebra and averaged Hamiltonian for the resonance 3: (−1) Penning-ioffe trap and was published in 2012. The most recent citation comes from a 2022 study titled Semiclassical Asymptotics of Oscillating Tunneling for a Quadratic Hamiltonian on the Algebra $\operatorname{su}(1,1)$. This article reached its peak citation in 2021, with 2 citations. It has been cited in 3 different journals. Among related journals, the Russian Journal of Mathematical Physics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year