Three-body harmonic molecule

H Olivares-Pilón, AM Escobar-Ruiz… - Journal of Physics B …, 2023 - iopscience.iop.org
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Reconstruction of dynamic systems using genetic algorithms with dynamic search limits

O Rodríguez-Abreo, JL Aragón… - arxiv preprint arxiv …, 2024 - arxiv.org
Mathematical modeling is a powerful tool for describing, predicting, and understanding
complex phenomena exhibited by real-world systems. However, identifying the equations …

Exploring the Multifractal Behavior of the Human Genome T2T-CHM13v2. 0: Graphical Representations and Cytogenetics

YA Alvarez-Ballesteros, MA Quiroz-Juarez… - arxiv preprint arxiv …, 2024 - arxiv.org
In this work, we applied the Chaos Game Representation (CGR) to the complete human
genomic sequence T2T-CHM13v2. 0, analyzing the entire chromosome assembly and each …

[HTML][HTML] Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform

MA Quiroz-Juárez, ÁL Corps, RA Molina… - The European Physical …, 2023 - Springer
We experimentally study the infinite-size limit of the Dicke model of quantum optics with a
parity-breaking deformation strength that couples the system to an external bosonic …

Two-center problem with harmonic-like interactions: periodic orbits and integrability

AM Ruiz, L Jiménez-Lara, J Llibre - arxiv preprint arxiv:2405.15048, 2024 - arxiv.org
We study the classical planar two-center problem of a particle $ m $ subjected to harmonic-
like interactions with two fixed centers. For convenient values of the dimensionless …

Classical -body system in volume variables II: Four-body case

AM Escobar-Ruiz, AV Turbiner - International Journal of Modern …, 2022 - World Scientific
It is evident that the positions of four bodies in d> 2-dimensional space can be identified with
vertices of a tetrahedron. Square of volume of the tetrahedron, weighted sum of squared …

3-body harmonic molecule

H Olivares-Pilón, AM Escobar-Ruiz… - arxiv preprint arxiv …, 2022 - arxiv.org
In this study, the quantum 3-body harmonic system with finite rest length $ R $ and zero total
angular momentum $ L= 0$ is explored. It governs the near-equilibrium $ S $-states …

[PDF][PDF] Quantum generalized three-body closed chain harmonic system

H Olivares-Pilón, AM Escobar-Ruiz… - arxiv preprint arxiv …, 2022 - researchgate.net
In this study, the quantum 3-body harmonic system with finite rest length R and zero total
angular momentum L= 0 is explored. It governs the near-equilibrium S-states eigenfunctions …

Two-Center Problem with Harmonic-Like Interactions: Periodic Orbits and Non-Integrability

A Escobar, L Jiménez-Lara, J Llibre… - Available at SSRN … - papers.ssrn.com
We study the classical planar two-center problem of a particle m subjected to harmonic-like
inter-actions with two fixed centers. For convenient values of the dimensionless parameter of …