Zobrazeno 1 - 10
of 380 177
pro vyhledávání: '"Exact Solution"'
Autor:
Zhang, Zhidong
In this work, the origin of nonlocal effects is inspected and the contributions of nontrivial topological structures to physical properties are investigated in details for both the 3D Ising model and the Z2 lattice gauge model. Then the exact solutio
Externí odkaz:
http://arxiv.org/abs/2412.10412
Autor:
Shchesnovich, Valery
Quantum models of interacting bosons have wide range of applications, among them the propagation of optical modes in nonlinear media, such as the $k$-photon down conversion. Many of such models are related to nonlinear deformations of finite group al
Externí odkaz:
http://arxiv.org/abs/2411.14204
Autor:
Mannheim, Philip D.
We present an exact solution to standard model cosmological perturbation theory in a matter-dominated, adiabatic, hydrodynamic era. The solution is in the form of hypergeometric functions. While such functions can oscillate with the sound velocity, t
Externí odkaz:
http://arxiv.org/abs/2411.11735
Autor:
Ohira, Kenta
We derive an exact solution for a simple non-autonomous delay differential equation (DDE) over the entire real-time axis, representing it as a sum of Gaussian-shaped dynamics with distinct peak positions. This marks the first explicit solution for no
Externí odkaz:
http://arxiv.org/abs/2411.11402
We study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe novel quantum systems exhibiting long-range interactions. Using the Bethe ansatz approach, we derive the eigenvalues of the Gaudin o
Externí odkaz:
http://arxiv.org/abs/2412.04761
This is a short description of our solver OSCM submitted by our team MPPEG to the PACE 2024 challenge both for the exact track and the parameterized track, available at https://github.com/pauljngr/PACE2024 and https://doi.org/10.5281/zenodo.11546972.
Externí odkaz:
http://arxiv.org/abs/2412.00292
Autor:
Andrews, Mark
The exact evolution in time and space of a distribution of the temperature (or density of diffusing matter) in an isotropic homogeneous medium is determined where the initial distribution is described by a piecewise polynomial. In two dimensions, the
Externí odkaz:
http://arxiv.org/abs/2411.15169
Autor:
Anani, Kwassi, Folly-Gbetoula, Mensah
Burgers' equation with fixed Dirichlet boundary conditions is considered on generic bounded intervals. By using the Hopf-Cole transformation and the exact operational solution recently established for linear reaction-diffusion equations with constant
Externí odkaz:
http://arxiv.org/abs/2409.19240
Autor:
Hernández-Sánchez, L., Bocanegra-Garay, I. A., Ramos-Prieto, I., Soto-Eguibar, F., Moya-Cessa, H. M.
We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the Lindblad master e
Externí odkaz:
http://arxiv.org/abs/2410.08428