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Ground State Bands of the E(5) and X(5) Critical Symmetries Obtained from Davidson Potentials through a Variational Procedure
Dennis Bonatsos, D. Lenis, N. Minkov +3
Davidson potentials of the form , when used in the original Bohr Hamiltonian for -independent potentials bridge the U(5) and O(6) symmetries. Using a variational…
Deformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory
Dennis Bonatsos, D. Lenis, P. P. Raychev +1
The predictions for the shell structure of metal clusters of the three-dimensional q-deformed harmonic oscillator (3D q-HO), utilizing techniques of quantum groups and having the s…
Molecular Spectra from Rotationally Invariant Hamiltonians Based on the Quantum Algebra SUq(2) and Irreducible Tensor Operators under SUq(2)
Dennis Bonatsos, B. A. Kotsos, P. P. Raychev +1
The rotational invariance under the usual physical angular momentum of the SUq(2) Hamiltonian for the description of rotational molecular spectra is explicitly proved and a connect…
Rotationally Invariant Hamiltonians for Nuclear Spectra Based on Quantum Algebras
Dennis Bonatsos, B. A. Kotsos, P. P. Raychev +1
The rotational invariance under the usual physical angular momentum of the SUq(2) Hamiltonian for the description of rotational nuclear spectra is explicitly proved and a connectio…
Sequence of Potentials Lying Between the U(5) and X(5) Symmetries
Dennis Bonatsos, D. Lenis, N. Minkov +2
Starting from the original collective Hamiltonian of Bohr and separating the beta and gamma variables as in the X(5) model of Iachello, an exactly soluble model corresponding to a…