Bogoliubov's inequality
WebApr 3, 2024 · author’s study [7] of the deformed Golden-Thompson trace inequality. W e obtain, in Theorem 3.1, another variant Peierls-Bogolyubov type of inequality , and we improv e, in Theorem 4.2 ... WebNov 19, 2024 · We generalise the two-sided Bogoliubov inequality for classical particles from [L. Delle Site et al., J.Stat.Mech.Th.Exp. 083201 (2024)] to systems of quantum …
Bogoliubov's inequality
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WebMar 31, 2024 · I am interested in trace inequalities and especially the Peierls-Bogoliubov inequality. Wiki has some information and references on the subject, but as far as I've checked, the proofs are restricted to finie-dimensions (matrices). I was wondering if there are any references that prove the Peierls-Bogoliubov inequality for operators on an … WebMar 23, 2024 · A simple approach is proposed for alleviating the sign problem of path integral molecular dynamics (PIMD) simulations for fermions by simulating an auxiliary system with a larger average sign and obtaining an upper bound to the energy of the original system using the Bogoliubov inequality. We present a method for performing path …
WebThe Gibbs-Bogoliubov inequality 543 WebWe generalise the two-sided Bogoliubov inequality for classical particles from [L. Delle Site et al., J. Stat. Mech. Th. Exp. 083201 (2024)] to systems of quantum particles. As in the
WebMay 14, 2002 · From the Gibbs-Bogoliubov inequality, which states that ∆G ≥ φ , 29, 30 it follows that S uv ≤ 0. The negative sign corresponds to the reduction in entropy … WebNov 4, 2024 · Bogoliubov’s correlations confirmed. Interacting quantum systems are difficult to formulate theoretically, but Nikolai Bogoliubov offered a workaround more …
WebJun 24, 2024 · The requirement in (3) is actually comes from combining (1,2). Surprisingly, solving (3) is not always enough! Considering the energy dispersions for bosons you can get them from (3). For the Bogoliubov matrix you need first to construct a matrix $\tilde{Z}$ from the eigenvectors of GM, then impose that \begin{equation} Z=\tilde{Z}P \end{equation}
WebJan 4, 2024 · The Bogoliubov inequality [1–3] for the free energy functional is an inequality that gives rise to a variational principle of statistical mechanics. The Bogoliubov inequality is used in solutions of model problems in statistical physics, in studies using the method of molecular fields [ 4 , 5 ], in proving the existence of the thermodynamic ... kentech international limitedWebThe Gibbs-Bogoliubov-Feynman (GBF) inequality of statistical mechanics is adopted, with an information-theoretic interpretation, as a general optimization framework for deriving … kentec hold offWebAug 29, 2024 · The Gibbs-Bogoliubov inequality is a consequence of the convexity of the pressure function with respect to the inverse temperature [3]. Using the convexity on the Nishimori line, we arrive at the Gibbs-Bogoliubov inequality on the Nishimori line. Theorem 2 (Gibbs-Bogoliubov inequality on the Nishimori line). For any two Ising spin-glass kentech head officeWebFurthermore, we establish information inequalities extending the Cramér-Rao inequality of classical statistics. These are based on a very general new form of the logarithmic derivative. A natural Riemannian geometry is defined on the state space of a finite quantum system by means of the Bogoliubov scalar product which is infinitesimally i is imr 4831 temperature sensitiveWebThe Bogoliubov Inequality and the Nature of Bose-Einstein Condensates AJP, 2024, vol. 12, issue 2 189 branch point singularities at kinn0=± =κ , 1,2,3,..., for ν+≠12 positive … is imr 4350 the same as hodgdon 4350WebOn the basis of general inequalities in quantum statistical mechanics we derive a rigorous upper bound for the magnetization in the ferromagnetic quantum H A stronger version of Bogoliubov's inequality and the Heisenberg model SpringerLink kentech internationalWebthe variational principle of N. N. Bogoliubov for free energy in the context of its applications to various problems of statistical mechanics and condensed matter physics. The review … is imputed income a fringe benefit