Arcs of discrete dynamics and constants of motion

1982 ◽  
Vol 6 (4) ◽  
pp. 249-252 ◽  
Author(s):  
R. Vilela Mendes ◽  
J. Taborda Duarte
Keyword(s):  
Discrete Dynamics ◽  
Constants Of Motion

J. Brodsky vs G. Sapgir: the Ways to Fill the Emptiness

2020 ◽  
pp. 23-37
Author(s):  
Irina Plekhanova
Keyword(s):  
Sensory Perception ◽  
Discrete Dynamics ◽  
Mental Task ◽  
Creative Life

The goal of comparison of J. Brodsky’s and G. Sapgir’s ideas is to show the variety of the creative life search in the poetry of the late third of the XX century. The contribution of poetry to the XX century paradigm of uncertainty –from the relativistic physics to axiology – is to fill the emptiness. The existential and mental task is to poetically feel the transcendent deeper and bring it closer via «blending ethics with metaphysics». The contrast of the artistic systems is described as a controversy between the apolloniс and dionysian, mediumistic and voluntarist principles of creation. Brodsky’s neoclassicism is comparable to Sapgir’s discrete dynamics – both poets perceived the otherness via sharp perception of life in its dialogue with the emptiness. Poetry was seen as an adequate way to achieve transcendent knowledge; creative life was looking for the images convincing that one recognized the otherness in the form of the emptiness and for the means to transmit one’s perceptions about it. The dialogue with the emptiness is presented as a visionary intrusion into otherness and a search for resonance with it. Brodsky’s contemplation sees the transition as immersion into the multidimensionality; chrono-sensory perception unfolds metaphorically. Sapgir’s mystical propensity is sensual, it engages readers in the reflection through performances, spontaneous associations open the emptiness as the fullness. The authenticity of the cognition is felt by the poets in flesh, viscerally (anxiety, vertigo, exertion, pain).

scholarly journals Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 220
Author(s):  
Lorenzo Rossi ◽  
Fabrizio Dolcini ◽  
Fabio Cavaliere ◽  
Niccolò Traverso Ziani ◽  
Maura Sassetti ◽  
...  
Keyword(s):  
Optical Gain ◽  
Electron System ◽  
Bound State ◽  
Stimulated Emission ◽  
Optical Measurements ◽  
Gibbs Ensemble ◽  
Attractive Potential ◽  
Dimensional Electron System ◽  
Constants Of Motion ◽  
Generalized Gibbs Ensemble

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set {λα} of coefficients related to the constants of motion. We determine the most elementary GGE deviation from the equilibrium distribution that leads to detectable effects. By quenching a suitable local attractive potential in a one-dimensional electron system, the resulting GGE differs from equilibrium by only one single λα, corresponding to the emergence of an only partially occupied bound state lying below a fully occupied continuum of states. The effect is shown to induce optical gain, i.e., a negative peak in the absorption spectrum, indicating the stimulated emission of radiation, enabling one to identify GGE signatures in fermionic systems through optical measurements. We discuss the implementation in realistic setups.

Third-order constants of motion in quantum mechanics

1977 ◽  
Vol 16 (11) ◽  
pp. 829-835 ◽  
Author(s):  
S. Datta Majumdar ◽  
M. J. Englefield
Keyword(s):  
Quantum Mechanics ◽  
Third Order ◽  
Constants Of Motion

Vester’s Sensitivity Model for Genetic Networks with Time-Discrete Dynamics

2014 ◽  
pp. 35-46 ◽  
Author(s):  
Liana Amaya Moreno ◽  
Ozlem Defterli ◽  
Armin Fügenschuh ◽  
Gerhard-Wilhelm Weber
Keyword(s):  
Genetic Networks ◽  
Discrete Dynamics

Discrete dynamics

2014 ◽  
pp. 321-328
Author(s):  
Mimmo Iannelli ◽  
Andrea Pugliese
Keyword(s):  
Discrete Dynamics

scholarly journals Complete set of quasi-conserved quantities for spinning particles around Kerr

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Geoffrey Compère ◽  
Adrien Druart
Keyword(s):  
Linear Order ◽  
Conserved Quantities ◽  
Killing Tensor ◽  
Kerr Geometry ◽  
Spinning Particles ◽  
Kerr Spacetime ◽  
Killing Tensors ◽  
Mixed Symmetry ◽  
Constants Of Motion ◽  
Complete Set

We revisit the conserved quantities of the Mathisson-Papapetrou-Tulczyjew equations describing the motion of spinning particles on a fixed background. Assuming Ricci-flatness and the existence of a Killing-Yano tensor, we demonstrate that besides the two non-trivial quasi-conserved quantities, i.e. conserved at linear order in the spin, found by Rüdiger, non-trivial quasi-conserved quantities are in one-to-one correspondence with non-trivial mixed-symmetry Killing tensors. We prove that no such stationary and axisymmetric mixed-symmetry Killing tensor exists on the Kerr geometry. We discuss the implications for the motion of spinning particles on Kerr spacetime where the quasi-constants of motion are shown not to be in complete involution.

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