305 citations · 2.2k across the 106 of their papers we have counts for
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Partial dynamical symmetries in quantum systems
A. Leviatan
We discuss the the notion of a partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by only a subset of solvable eigenstates, while other eigenstates are str…
Effect of a fermion on quantum phase transitions in bosonic systems
F. Iachello, A. Leviatan, D. Petrellis
The effect of a fermion with angular momentum j on quantum phase transitions of a (s,d) bosonic system is investigated. It is shown that the presence of a fermion strongly modifies…
Coexistence of order and chaos at critical points of first-order quantum phase transitions in nuclei
M. Macek, A. Leviatan
We study the interplay between ordered and chaotic dynamics at the critical point of a generic first-order quantum phase transition in the interacting boson model of nuclei. Classi…
Quantum Phase Transitions in Odd-Mass Nuclei
A. Leviatan, D. Petrellis, F. Iachello
Quantum shape-phase transitions in odd-even nuclei are investigated in the framework of the interacting boson-fermion model. Classical and quantum analysis show that the presence o…
Quantum phase transitions in Bose-Fermi systems
D. Petrellis, A. Leviatan, F. Iachello
Quantum phase transitions in a system of N bosons with angular momentum L=0,2 (s,d) and a single fermion with angular momentum j are investigated both classically and quantum mecha…
Regularity and chaos at critical points of first-order quantum phase transitions
M. Macek, A. Leviatan
We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A class…