Zobrazeno 1 - 10
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pro vyhledávání: '"curved spaces"'
Autor:
Herrada, Miguel A.
Traditional methods for solving physical equations in curved spaces, especially in fluid mechanics and general relativity, rely heavily on the use of Christoffel symbols. These symbols provide the necessary corrections to account for curvature in dif
Externí odkaz:
http://arxiv.org/abs/2410.22957
Autor:
Lv, Chenwei, Zhou, Qi
Quantum matter in curved spaces exhibits remarkable properties unattainable in flat spaces. To access curved spaces in laboratories, the conventional wisdom is that physical distortions need to be implemented into a system. In contrast to this belief
Externí odkaz:
http://arxiv.org/abs/2408.05132
Autor:
Salamanca, Sergio
In a previous work we showcased the factorization method to find the symmetries of superintegrable systems with spherical separability in flat spaces. Here we analyze the same problem, but in constant curvature spaces along the examples of curved Kep
Externí odkaz:
http://arxiv.org/abs/2407.18628
Autor:
Godin, Christophe, Boudon, Frédéric
In the past 50 years, the formalism of L-systems has been successfully used and developed to model the growth of filamentous and branching biological forms. These simulations take place in classical 2-D or 3-D Euclidean spaces. However, various biolo
Externí odkaz:
http://arxiv.org/abs/2404.03270
We treat some classes of stochastic partial differential equations of Schr\"odinger type within the framework of white noise analysis, combined with Wiener-It\^o chaos expansions and pseudodifferential operator methods. The initial data and potential
Externí odkaz:
http://arxiv.org/abs/2401.00325
Akademický článek
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Publikováno v:
Nonlinearity 36 (2023) 1143
We consider the classical momentum- or velocity-dependent two-dimensional Hamiltonian given by $$\mathcal H_N = p_1^2 + p_2^2 +\sum_{n=1}^N \gamma_n(q_1 p_1 + q_2 p_2)^n ,$$ where $q_i$ and $p_i$ are generic canonical variables, $\gamma_n$ are arbitr
Externí odkaz:
http://arxiv.org/abs/2206.12717