Zlosnik, "Exploring Cartan gravity with dynamical symmetry
breaking," Classical and Quantum Gravity, vol.
We furthermore prove that the models with pure Calogero potentials and those with the extra DFF term possess isomorphic dynamical symmetry
Table 1: Equilibrium values of the parameters A2, A3, A4 in the large N limit for transition from dynamical symmetry
limit U(5) to dynamical symmetry
limit SU(3) as an illustrative example.
Remaining chapters formally describe dynamical symmetry
in Hamiltonian mechanics, symmetries in classical Keplerian motion, dynamical symmetry
in Schrodinger quantum mechanics, spectrum-generating Lie algebras and groups admitted by Schrodinger equations, dynamical symmetry
of regularized hydrogen-like atoms, approximate dynamical symmetries in atomic and molecular physics, rovibronic systems, and dynamical symmetry
of Maxwell's equations.
of the Kepler-Coulomb problem in classical and quantum mechanics; non-relativistic and relativistic.
Later on, references [7, 8, 13] indicated a way of constructing the so-called "dynamical symmetry
algebra" by applying the FM to differential or difference equations [3, 11, 12] and then this technique has been used to consider some particular instances of q-hypergeometric difference equations.
"[We] have shown that the dynamical symmetry
associated with motion in [the relevant kind of force field] provides extremely stringent limits on any possible deviation of the number of dimensions from the integer value of 3, on both atomic and astronomical length scales," they conclude.
For Mq = 0 the Lagrangian retains the full SU(4) symmetry but, in an analogy with QCD, one might expect the dynamical symmetry
breaking by vacuum expectation value <[bar.U]U + [bar.D]D> [not equal to] 0.
FAKHRI, The embedding of parasupersymmetry and dynamical symmetry
into GL(2, c) group, Ann.
The dynamical symmetry
E(5) describe the phase transition between a spherical vibrator (U(5)) and [gamma]-soft rotor (O(6)) and the X(5) for the critical point of the spherical to axially deformed (SU(3)) transition.
We review the concept of dynamical symmetry
in section 5.
It is well know that the dynamical symmetry
associated with U(5) corresponds to a spherical shape [beta] = 0, the dynamical symmetry
SU(3) is associated with an axially deformed shape [beta] [not equal to] 0 and [gamma] = 0, [pi]/3 and the dynamical symmetry
O(6) is related to a y-unstable deformed shape [beta] [not equal to] 0 and [gamma]-independent.