Concept

Classical limit

Related publications (51)

Nonadiabatic Molecular Dynamics Based on Trajectories

Ivano Tavernelli, Basile Curchod, Marine Eva Fedora Bouduban

Performing molecular dynamics in electronically excited states requires the inclusion of nonadiabatic effects to properly describe phenomena beyond the Born-Oppenheimer approximation. This article provides a survey of selected nonadiabatic methods based on ...

MDPI AG2014

Spectral series of the Schrodinger operator with delta-potential on a three-dimensional spherically symmetric manifold

Tudor Ratiu

The spectral series of the Schrodinger operator with a delta-potential on a threedimensional compact spherically symmetric manifold in the semiclassical limit as h -> 0 are described. ...

Springer US2013

On trajectory-based nonadiabatic dynamics: Bohmian dynamics versus trajectory surface hopping

Ivano Tavernelli, Basile Curchod

In this work, we present a complete derivation of the NonAdiabatic Bohmian DYnamics (NABDY) equations of motion. This approach naturally emerges from a transformation of the molecular time-dependent Schrodinger equation in the adiabatic representation of t ...

Amer Inst Physics2013

Quantum stabilization of classically unstable plateau structures

Frédéric Mila, Tommaso Coletta

Motivated by an intriguing report, in some frustrated quantum antiferromagnets, of magnetization plateaus whose simple collinear structure is not stabilized by an external magnetic field in the classical limit, we develop a semiclassical method to estimate ...

2013

Threshold modeling of extreme spatial rainfall

Anthony Christopher Davison, Raphaël Mutzner, Emeric Rolland Georges Thibaud

We propose an approach to spatial modeling of extreme rainfall, based on max-stable processes fitted using partial duration series and a censored threshold likelihood function. The resulting models are coherent with classical extreme-value theory and allow ...

American Geophysical Union2013

On the Efficiency of Semiclassical and Classical Approximations of Quantum Fidelity in Many-Dimensional Systems

Cesare Mollica

This thesis is focused on classical and semiclassical approximations of a specific quantum time correlation function, the “quantum fidelity.” Namely, we rigorously study the efficiency of a continuous class of algorithms for the evaluation of its classical ...

EPFL2012

The research program of Stochastic Deformation (with a view toward Geometric Mechanics)

This is an overview of a program of stochastic deformation of the mathematical tools of classical mechanics, in the Lagrangian and Hamiltonian approaches. It can also be regarded as a stochastic version of Geometric Mechanics.The main idea is to construct ...

2012

Extremes: spatial parametric modeling

Anthony Christopher Davison

Statistics of spatial extremes is developing very rapidly, owing to the demands of applications in the environmental sciences and the insurance and risk industries. This entry sketches the main ideas, based on classical extreme-value statistics. The two ma ...

John Wiley2012

Evidence for Columnar Order in the Fully Frustrated Transverse Field Ising Model on the Square Lattice

Frédéric Mila, Tommaso Coletta, Sandro Wenzel

Using extensive classical and quantum Monte Carlo simulations, we investigate the ground-state phase diagram of the fully frustrated transverse field Ising model on the square lattice. We show that pure columnar order develops in the low-field phase above ...

2012

Writing CFT correlation functions as AdS scattering amplitudes

We explore the Mellin representation of conformal correlation functions recently proposed by Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes and scattering amplitudes. We conjecture a simple formula relating the bulk s ...

Springer2011

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