A double chain of coupled circuits in analogy with mechanical lattices.
A group theoretic approach to generalized harmonic vibrations in a one dimensional lattice.
A recurrence relation approach to higher order quantum superintegrability.
A unification of Knizhnik-Zamalodchikov and Dunkl operators via affine Hecke algebras.
Dirac monopole derived from representation theory
Factor-group-generated polar spaces and (multi-)qudits.
Generalized hermite polynomials obtained by embeddings of the q-Heisenberg algebra
Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itself are presented. By combination of those embeddings it becomes possible to transform between q-phase-space and q-oscillator realizations of the q-Heisenberg algebra. Using these embeddings the corresponding Schrödinger equation can be expressed by various difference equations. The solutions for two physically relevant cases are found and expressed as Stieltjes Wigert polynomials.
Internal Symmetries and Additional Quantum Numbers for Nanoparticles
Wavefunctions of symmetrical nanoparticles are considered making use of induced representation method. It is shown that when, at the same total symmetry, the order of local symmetry group decreases, additional quantum numbers are required for complete labelling of electron states. It is shown that the labels of irreducible representations of intermediate subgroups can be used for complete classification of states in the case of repeating IRs in symmetry adapted linear combinations. The intermediate...
Kreĭn spaces in de Sitter quantum theories.
On parametrization of the linear and unitary groups in terms of Dirac matrices.
On some spaces of linear functionals on the algebras for locally compact groups
Projection operator techniques in Lagrangian mechanics: Symmetrically coupled oscillators.
Representation theory of finite Abelian groups applied to a linear diatomic crystal.
Revisiting the symmetries of the quantum Smorodinsky-Winternitz system in dimensions.
Sur un nouveau groupe de symétrie de la mécanique quantique relativiste
Symmetry breaking for molecular open systems
The Littlewood-Richardson rule - the cornerstone for computing group properties
Tools for verifying classical and quantum superintegrability.
Two dimensional lattice vibrations from direct product representations of symmetry groups.
Zur Symmetriebeschreibung von OD-Kristallstrukturen durch Brandtsche und Ehresmannsche Gruppoide