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Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System
spin boson, Rabi Hamiltonian, two photon, Jaynes Cummings model, qubit oscillator, dimer oscillator, rotating wave approximation
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2011/9/14
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...
Advanced quasi-steady state approximation for chemical kinetics
quasi-steady state approximation chemical kinetics
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2011/8/3
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...
OPTIMAL ERROR ESTIMATES OF THE PARTITION OF UNITY METHOD WITH LOCALPOLYNOMIAL APPROXIMATION SPACES
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2007/12/12
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...
Approximation Properties of Julia Polynomials
conformal mapping extremal polynomials bounded boundary rotation Dini-smooth boundary
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2007/12/10
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 $...
Modeling physical systems by effective harmonic oscillators: The optimized quadratic approximation
Modeling physical systems harmonic oscillators The optimized quadratic approximation
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2014/9/24
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...
A Born-Oppenheimer approximation for path integrals with an application to electron solvation in polarizable fluids
A Born-Oppenheimer approximation path integrals an application to electron solvation polarizable fluids
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2014/9/24
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...