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Kinetic energy in the collective quadrupole Hamiltonian from the experimental data
Physics Letters B, 2017 Dependence of the kinetic energy term of the collective nuclear Hamiltonian on collective momentum is considered. It is shown that the fourth order in collective momentum term of the collective quadrupole Hamiltonian generates a sizable effect on the ...
R.V. Jolos, E.A. Kolganova
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Complex Time Approach to the Hamiltonian and the Entropy Production of the Damped Harmonic Oscillator [PDF]
EntropyThe present work applies and extends the previously developed Quantitative Geometrical Thermodynamics (QGT) formalism to the derivation of a Hamiltonian for the damped harmonic oscillator (DHO) across all damping regimes.
Kyriaki-Evangelia Aslani
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Solution of the Problem of Analytical Construction of Optimal Regulators for a Fractional Order Oscillatory System in the General Case [PDF]
Journal of Applied and Computational Mechanics, 2021 An algorithm is proposed for solving the problem of analytical constructing of an optimal fractional-order regulator (OFOR) in the general case. By inscribing the extended functional, the corresponding fractional order Euler-Lagrange equation is ...
Fikret Aliev +3 more
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On stability of motion of satellite [PDF]
E3S Web of Conferences, 2023 In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation.
Titova Tatiana
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On stability of motion of unbalanced gyroscope [PDF]
E3S Web of Conferences, 2023 In this paper we consider the stability of motion of an unbalanced gyroscope with a flexible shaft in gimbal suspension.Gyroscopes are used to control the stability of boom tower cranes.
Titova Tatiana
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The generalized inverse eigenvalue problem of Hamiltonian matrices and its approximation
AIMS Mathematics, 2021 Let $ J = \left[ \begin{array}{cc} 0 & I_n \\ -I_n & 0 \\ \end{array} \right] \in \mathbb{R}^{2n\times 2n} $. A matrix $ A \in \mathbb{R}^{2n\times 2n} $ is said to be Hamiltonian if $ (AJ)^{\top} = AJ $.
Lina Liu, Huiting Zhang, Yinlan Chen
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Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix for this family of bi-Hamiltonian structures, we obtain an explicit process for ...
Ghorbanali Haghighatdoost +2 more
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AIMS Mathematics, 2023 In the present paper, we focus on the reducibility of an almost-periodic linear Hamiltonian system $ \frac{dX}{dt} = J[A+\varepsilon Q(t)]X, X\in \mathbb{R}^{2d} , $ where $ J $ is an anti-symmetric symplectic matrix, $ A $ is a symmetric matrix, $
Muhammad Afzal +5 more
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Machine learning software to learn negligible elements of the Hamiltonian matrix
Artificial Intelligence Chemistry, 2023 As a follow-up to our recent Communication in the Journal of Chemical Physics [J. Chem. Phys. 159 071101 (2023)], we report and make available the Jupyter Notebook software here.
Chen Qu +6 more
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The Panorama of Spin Matrix theory
Journal of High Energy Physics, 2023 Spin Matrix theory describes near-BPS limits of N $$ \mathcal{N} $$ = 4 SYM theory, which enables us to probe finite N effects like D-branes and black hole physics.
Stefano Baiguera +2 more
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