3 citations · 5 across the 5 of their papers we have counts for
5 papers
Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator
E. Paal, J. Virkepu
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of three-dimensional real Lie algebras. The Jacobi operators of these quantu…
Operadic quantization
E. Paal, J. Virkepu
Based on a simple example, quantization of some 3-spaces is explained.
Quantum counterparts of 3d Lie algebras over harmonic oscillator
E. Paal, J. Virkepu
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of 3d real Lie algebras. The Jacobians of the corresponding quantum algebras…
VII, III, VI
Eugen Paal, Jüri Virkepu
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of some 3d real Lie algebras in Bianchi classification. The Jacobians of the…
Plane rotations and Hamilton-Dirac mechanics
Eugen Paal, Jyri Virkepu
Canonical formalism for SO(2) is developed. This group can be seen as a toy model of the Hamilton-Dirac mechanics with constraints. The Lagrangian and Hamiltonian are explicitly co…