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The single-mode spin-boson model exhibits behavior not included in the rotating wave approximation (RWA) in the ultra and deep-strong coupling regimes, where counter-rotating contributions become impo...
Abstract: Computational feasibility of turbulent reacting flows hinges on the reduction of large chemical kinetics systems to smaller more manageable reaction sets. Recently, several sophisticated red...
In this paper, we provide a theoretical analysis of the partition of unity finite element method(PUFEM), which belongs to the family of meshfree methods. The usual error analysis only shows the orde...
Let $G$ be a finite simply connected domain in the complex plane $\mathbb{C}$, bounded by a rectifiable Jordan curve $L$, and let $w=\varphi _{0}\left( z\right) $ be the Riemann conformal mapping of $...
A mathematical formalism is developed to map a physical system described by a general potential energy function onto one consisting of effective harmonic oscillators. The present focus is on many-body...
The Born-Oppenheimer approximation is introduced into the path integral expression for the canonical partition function. It is difficult to apply this to simulations. We devise a new adiabatic express...

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