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- University of TübingenDE16 papers
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6 papers · 1 filter
Graded Fock--like representations for a system of algebraically interacting paraparticles
K. Kanakoglou, A. Herrera-Aguilar
We will present an algebra describing a mixed paraparticle model, known in the bibliography as "The Relative Parabose Set (\textsc{Rpbs})". Focusing in the special case of a single…
Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler-Coulomb Potential
Yannis Tanoudis, Costas Daskaloyannis
In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superinteg…
Quadratic algebras for three dimensional non degenerate superintegrable systems with quadratic integrals of motion
Y. Tanoudis, C. Daskaloyannis
The three dimensional superintegrable systems with quadratic integrals of motion have five functionally independent integrals, one among them is the Hamiltonian. Kalnins, Kress and…
Paraboson quotients. A braided look at Green ansatz and a generalization
K. Kanakoglou, C. Daskaloyannis
Bosons and Parabosons are described as associative superalgebras, with an infinite number of odd generators. Bosons are shown to be a quotient superalgebra of Parabosons, establish…
Report of the Detailed Calculation of the Effective Potential in Spacetimes with Topology and at Finite Temperature
V. K. Oikonomou
In this paper we review the calculations that are needed to obtain the bosonic and fermionic effective potential at finite temperature and volume (at one loop). The calculations at…
Classification of quantum superintegrable systems with quadratic integrals on two dimensional manifolds
C. Daskaloyannis And Y. Tanoudes
There are two classes of quantum integrable systems on a manifold with quadratic integrals, the Liouville and the Lie integrable systems as it happens in the classical case. The qu…