Zobrazeno 1 - 10
of 226
pro vyhledávání: '"Sobolev, Alexander P."'
Autor:
Semkin, Valentin, Shabanov, Aleksandr, Kapralov, Kirill, Kashchenko, Mikhail, Sobolev, Alexander, Mazurenko, Ilya, Myltsev, Vladislav, Nikulin, Egor, Chernov, Alexander, Kameneva, Ekaterina, Bocharov, Alexey, Svintsov, Dmitry
Two-dimensional materials offering ultrafast photoresponse suffer from low intrinsic absorbance, especially in the mid-infrared wavelength range. Challenges in 2d material doping further complicate the creation of light-sensitive $p-n$ junctions. Her
Externí odkaz:
http://arxiv.org/abs/2411.06480
The paper considers a set of equations describing the static isotropic gravity field of a macroscopic body within the framework of the theory of gravity with a constraint. A general approximate solution of these equations is obtained. The solution ex
Externí odkaz:
http://arxiv.org/abs/2312.02217
Publikováno v:
Adv.Theor.Math.Phys. 28 (2024) 1933-1985
We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regularization is introduced. An area law is proven in the limiting cases wh
Externí odkaz:
http://arxiv.org/abs/2310.03493
We consider the class of bounded self-adjoint Hankel operators $\mathbf H$, realised as integral operators on the positive semi-axis, that commute with dilations by a fixed factor. By analogy with the spectral theory of periodic Schr\"{o}dinger opera
Externí odkaz:
http://arxiv.org/abs/2307.09242
Publikováno v:
Prob. Math. Phys. 4 (2023) 935-964
We obtain bounds for all derivatives of the non-relativistic Coulombic one-particle density matrix $\gamma(x, y)$ near the diagonal $x = y$.
Comment: 32 pages
Comment: 32 pages
Externí odkaz:
http://arxiv.org/abs/2207.03963
Publikováno v:
pp. 477-508 in: "Toeplitz Operators and Random Matrices - In Memory of Harold Widom"; Editors: E. Basor, A. B\"ottcher, T. Erhardt, C. A. Tracy; Operator Theory: Advances and Applications vol. 289, Birkh\"auser/Springer Nature, Cham, 2022
We study the local and (bipartite) entanglement R\'enyi entropies of the free Fermi gas in multi-dimensional Euclidean space $\mathbb{R}^d$ in thermal equilibrium. We prove positivity of the entanglement entropies with R\'enyi index $\gamma\leq1$ for
Externí odkaz:
http://arxiv.org/abs/2201.11087
Autor:
Sobolev, Alexander P.
Publikováno v:
Foundations of Physics 52, 3 (2022)
The gravitational equations were derived in general relativity (GR) using the assumption of their covariance relative to arbitrary transformations of coordinates. It has been repeatedly expressed an opinion over the past century that such equality of
Externí odkaz:
http://arxiv.org/abs/2111.14612
Autor:
Sobolev, Alexander V.
Publikováno v:
J. Funct. Anal. 2022
The kinetic energy of a multi-particle system is described by the one-particle kinetic energy density matrix $\tau(x, y)$. Alongside the one-particle density matrix $\gamma(x, y)$, it is one of the key objects in the quantum-mechanical approximation
Externí odkaz:
http://arxiv.org/abs/2105.01986
Autor:
Sobolev, Alexander V.
The one-particle density matrix $\gamma(x, y)$ for a bound state of an atom or molecule is one of the key objects in the quantum-mechanical approximation schemes. We prove the asymptotic formula $\lambda_k \sim (Ak)^{-8/3}$, $A \ge 0$, as $k\to\infty
Externí odkaz:
http://arxiv.org/abs/2103.11896
Autor:
Sobolev, Alexander V.
It is shown that the eigenvalues $\lambda_k, k=1, 2, \dots,$ of the one-particle density matrix satisfy the bound $\lambda_k\le C k^{-8/3}$ with a positive constant $C$.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2008.10935