The Role of Annihilation in a Wigner Monte Carlo Approach View Full Text


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Chapter Info

DATE

2014-06-26

AUTHORS

Jean Michel Sellier , Mihail Nedjalkov , Ivan Dimov , Siegfried Selberherr

ABSTRACT

The Wigner equation provides an interesting mathematical limit, which recovers the constant field, ballistic Boltzmann equation. The peculiarities of a recently proposed Monte Carlo approach for solving the transient Wigner problem, based on generation and annihilation of particles are summarized. The annihilation process can be implemented at consecutive time steps to improve the Monte Carlo resolution. We analyze theoretically and numerically this process applied to the simulation of important quantum phenomena, such as time-dependent tunneling of a wave packet through potential barriers. More... »

PAGES

186-193

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-662-43880-0_20

DOI

http://dx.doi.org/10.1007/978-3-662-43880-0_20

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031605855


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