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The three-body general problem is formulated as a problem of geodesic trajectories flows on the Riemannian manifold. It is proved that a curved space with local coordinate system allows to detect new hidden symmetries of the internal motion…

数学物理 · 物理学 2020-06-30 A. S. Gevorkyan

We demonstrate that a conditional wavefunction theory enables a unified and efficient treatment of the equilibrium structure and nonadiabatic dynamics of correlated electron-ion systems. The conditional decomposition of the many-body…

化学物理 · 物理学 2021-07-22 Guillermo Albareda , Kevin Lively , Shunsuke A. Sato , Aaron Kelly , Angel Rubio

This paper examines a semi-analytical approach for pricing American options in time-inhomogeneous models characterized by negative interest rates (for equity/FX) or negative convenience yields (for commodities/cryptocurrencies). Under such…

证券定价 · 定量金融 2025-07-22 Andrey Itkin , Yerkin Kitapbayev

The paper proposes a novel hybrid method for solving equilibrium problems and fixed point problems. By constructing specially cutting-halfspaces, in this algorithm, only an optimization program is solved at each iteration without the…

最优化与控制 · 数学 2015-10-30 Dang Van Hieu

We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B. For asymmetric…

软凝聚态物质 · 物理学 2009-11-10 Aiguo Xu

Homogeneous and isotropic closed models are studied in both the Einstein and the Jordan frame of the second order gravity theory. The normal form of the dynamical system has periodic solutions for a large set of initial conditions. This…

广义相对论与量子宇宙学 · 物理学 2010-01-15 John Miritzis

Gauge fixing is a useful tool to simplify calculations. It is also valuable to combine different methods, in particular lattice and continuum methods. However, beyond perturbation theory the Gribov-Singer ambiguity requires further gauge…

高能物理 - 格点 · 物理学 2011-03-23 Axel Maas

We determine the general form of the potential of the problem of motion of a rigid body about a fixed point, which allows the angular velocity to remain permanently in a principal plane of inertia of the body. Explicit solution of the…

可精确求解与可积系统 · 物理学 2013-03-26 Hamad M. Yehia

In this study, considering the importance of how to exploit renewable natural resources, we analyze a fishing model with nonlinear harvesting function in which the players at the equilibrium point do a static game with complete information…

动力系统 · 数学 2019-05-16 Elahe Sorouri , Madjid Eshaghi Gordji , Reza. Memarbashi

We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearities are maximal monotone graphs, without restrictions on the…

偏微分方程分析 · 数学 2025-08-20 Goro Akagi , Giacomo Enrico Sodini , Ulisse Stefanelli

We argue that different formulations of hydrodynamics are related to uncertainties in the definitions of local thermodynamic and hydrodynamic variables. We show that this ambiguity can be resolved by viewing different formulations of…

高能物理 - 理论 · 物理学 2022-06-01 Travis Dore , Lorenzo Gavassino , David Montenegro , Masoud Shokri , Giorgio Torrieri

This paper is devoted to a study of robust fundamental theorems of asset pricing in discrete time and finite horizon settings. Uncertainty is modelled by a (possibly uncountable) family of price processes on the same probability space. Our…

数理金融 · 定量金融 2024-04-04 Huy N. Chau

A self-consistent many-body approach is proposed to build a first-principles crystal field theory, where crystal field parameters are calculated ab initio. Many-body theory is used to write the energy of the interacting system as a function…

强关联电子 · 物理学 2010-09-17 Christian Brouder

We develop the theory of canonical-dissipative systems, based on the assumption that both the conservative and the dissipative elements of the dynamics are determined by invariants of motion. In this case, known solutions for conservative…

统计力学 · 物理学 2009-11-07 Frank Schweitzer , Werner Ebeling , Benno Tilch

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

统计力学 · 物理学 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

The investigation of many-body interactions holds significant importance in both quantum foundations and information. Hamiltonians coupling multiple particles at once, beyond others, can lead to a faster entanglement generation, multiqubit…

A time-dependent multiconfigurational self-consistent field theory is presented to describe the many-body dynamics of a gas of identical bosonic atoms confined to an external trapping potential at zero temperature from first principles. A…

其他凝聚态物理 · 物理学 2007-10-16 David J. Masiello , William P. Reinhardt

For a second-order elliptic equation in divergence form we investigate conditions on the coefficients which imply that all solutions are Lipschitz continuous or differentiable at a given point. We assume the coefficients have modulus of…

偏微分方程分析 · 数学 2010-07-13 Vladimir Maz'ya , Robert McOwen

A model system with fast and slow processes is introduced. After integrating out the fast ones, the considered dynamics of the slow variables is exactly solvable. In statics the system undergoes a Kauzmann transition to a glassy state. The…

统计力学 · 物理学 2007-05-23 Theo M. Nieuwenhuizen

This paper is dealing with another multiple person game model under the antagonistic duel type setup. The most flexible multiple person duel game is analytically solved and the explicit formulas are solved to determine the time dependent…

最优化与控制 · 数学 2021-04-13 Song-Kyoo Kim