Empirical Evidences for Fermion Dynamical Symmetries in Nuclei

1986 ◽  
pp. 567-583
Author(s):  
Cheng-Li Wu
Keyword(s):  
Dynamical Symmetries

Dynamical Symmetries and Chaotic Behaviour in Physical Systems

1990 ◽  
Author(s):  
Giuseppe Maino ◽  
Leone Fronzoni ◽  
Marco Pettini
Keyword(s):  
Chaotic Behaviour ◽  
Dynamical Symmetries ◽  
Physical Systems

scholarly journals New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries

2021 ◽  
pp. 2150100
Author(s):  
Andronikos Paliathanasis
Keyword(s):  
Conservation Laws ◽  
Integrable Systems ◽  
Functional Form ◽  
Analytic Solutions ◽  
Momentum Conservation ◽  
Field Equations ◽  
Dynamical Symmetries ◽  
Cosmological Solutions ◽  
Liouville Integrable

We investigate the existence of Liouville integrable cosmological models in hybrid metric-Palatini theory. Specifically, we use the symmetry conditions for the existence of quadratic in the momentum conservation laws for the field equations as constraint conditions for the determination of the unknown functional form of the theory. The exact and analytic solutions of the integrable systems found in this study are presented in terms of quadratics and Laurent expansions.

scholarly journals Rigorous bounds on dynamical response functions and time-translation symmetry breaking

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
Marko Medenjak ◽  
Tomaz Prosen ◽  
Lenart Zadnik
Keyword(s):  
Dynamical Response ◽  
Response Functions ◽  
Xxz Model ◽  
Dynamical Symmetries ◽  
Time Translation ◽  
Spatially Inhomogeneous ◽  
Translation Symmetry ◽  
Local Operators ◽  
Rigorous Bounds ◽  
Translation Symmetry Breaking

Dynamical response functions are standard tools for probing local physics near the equilibrium. They provide information about relaxation properties after the equilibrium state is weakly perturbed. In this paper we focus on systems which break the assumption of thermalization by exhibiting persistent temporal oscillations. We provide rigorous bounds on the Fourier components of dynamical response functions in terms of extensive or local dynamical symmetries, i.e., extensive or local operators with periodic time dependence. Additionally, we discuss the effects of spatially inhomogeneous dynamical symmetries. The bounds are explicitly implemented on the example of an interacting Floquet system, specifically in the integrable Trotterization of the Heisenberg XXZ model.

Polynomial supersymmetry and dynamical symmetries in quantum mechanics

1995 ◽  
Vol 104 (3) ◽  
pp. 1129-1140 ◽  
Author(s):  
A. A. Andrianov ◽  
M. V. Ioffe ◽  
D. N. Nishnianidze
Keyword(s):  
Quantum Mechanics ◽  
Dynamical Symmetries
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