40.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Institute of Chemical Physics and BiophysicsEE28 papers
- University of TartuEE15 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT10 papers
- University of OxfordGB10 papers
- University of PaduaIT10 papers
- University of CambridgeGB9 papers
- Aalto UniversityFI8 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- European Organization for Nuclear ResearchCH8 papers
- University of HelsinkiFI8 papers
- King's College LondonGB7 papers
- Reykjavík UniversityIS6 papers
12 papers · 1 filter
A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems
Briceyda B. Delgado, Jorge E. Macías-Díaz
In this work, we investigate the system formed by the equations and in bounded star-shaped domains of . A Helmho…
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…
Note on operadic harmonic oscillator
Eugen Paal, Jyri Virkepu
It is explained how the time evolution of the operadic variables may be introduced. As an example, an operadic Lax representation of the harmonic oscillator is considered.
Note on Moufang-Noether currents
Eugen Paal
The derivative Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns ou…
Moufang transformations and Noether currents
Eugen Paal
The Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a b…
Construction of graded differential algebra with ternary differential
Nadezda Bazunova
In this article, we describe the construction of graded -differential algebra with ternary differential satisfying the property and the -Leibniz rule. Our starting po…
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…
Moufang loops and Lie algebras
Eugen Paal
It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loops. The resulting Lie algebra commutation relations are well known from the theory of alt…
Operads for x-physics
E. Paal
The essential parts of the operad algebra are concisely presented, which should be useful when confronting with the operadic physics. It is also clarified how the Gerstenhaber alge…