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Wigner and Signed Particle Formalisms for Quantum Simulations

nano-archimedes is a simulator for the electron transport in semiconductor devices based on the Wigner-Boltzmann Monte Carlo method. It is a full quantum, time dependent simulator that also includes phonon scattering effects. It is a multi-dimensional TCAD for nanodevices that runs in serial and parallel.

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Wigner and Signed Particle Formalisms for Quantum Simulations | nano-archimedes.com Reviews
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nano-archimedes is a simulator for the electron transport in semiconductor devices based on the Wigner-Boltzmann Monte Carlo method. It is a full quantum, time dependent simulator that also includes phonon scattering effects. It is a multi-dimensional TCAD for nanodevices that runs in serial and parallel.
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Wigner and Signed Particle Formalisms for Quantum Simulations | nano-archimedes.com Reviews

https://nano-archimedes.com

nano-archimedes is a simulator for the electron transport in semiconductor devices based on the Wigner-Boltzmann Monte Carlo method. It is a full quantum, time dependent simulator that also includes phonon scattering effects. It is a multi-dimensional TCAD for nanodevices that runs in serial and parallel.

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1

Publications - nano-archimedes

http://www.nano-archimedes.com/publications.php

JM Sellier, I. Dimov,. On a Full Monte Carlo Approach to Quantum Mechanics. Physica A, Elsevier, (2016). JM Sellier, D.Y. Ivanova, I. Dimov,. A study on quantum similarity in the phase space. Physica A, Elsevier, (2016). S Shao, J.M. Sellier,. Comparison of deterministic and stochastic methods fortime-dependent Wigner simulations. Journal of Computational Physics. JM Sellier, I. Dimov,. Wigner functions, signed particles, and the harmonic oscillator. Journal of Computational Electronics. On the simulatio...

2

Lectures - nano-archimedes

http://www.nano-archimedes.com/lectures.php

In this lecture, Prof. Sellier discusses about the signed particle formulation of quantum mechanics. In this lecture, Dr. Sellier discusses the Wigner formulation of Quantum Mechanics which is based on the concept of quasi-distributions defined over the phase-space. In this lecture, Dr. Sellier discusses the Wigner Monte Carlo method applied to single-body quantum systems. In this lecture, Dr. Sellier discusses the Wigner Monte Carlo method in the framweork of density functional theory (DFT).

3

Download

http://www.nano-archimedes.com/download.php

Please click on the following link to download nano-archimedes:. Http:/ www.nano-archimedes.com/download/nano-archimedes-ballistic-1D-2D-1body-2bodies-2.0.tar. This version of nano-archimedes implements the (ballistic) single- and two-body Wigner Monte Carlo method based on the signed particle formulation of quantum mechanics. This code is capable of simulating:. 1) a one-dimensional Gaussian wave-packet going towards a potential barrier (video below),. De Gruyter, DOI: 10.1515/mcma-2013-0018, (2014).

4

Results - nano-archimedes

http://www.nano-archimedes.com/results.php

One-Dimensional (1D) Wigner Simulation Results: a wave packet interacting with a potential barrier. These two videos shows an electron wave packet interacting with a potential barrier. Once the packet reaches the barrier, reflection and tunneling phenomena start to appear. The calculations are obtained by using the Wigner Monte Carlo method, a powerful approach to solve the Wigner equation. Two-Dimensional (2D) Wigner Simulation Results: a wave packet interacting with a potential wall. Wigner Solotronics...

5

Wigner and Signed Particle Formalisms for Quantum Simulations

http://www.nano-archimedes.com/index.php

Is a Technology Computer Aided Design tool (TCAD) for the simulation of various technology relevant situations involving the dynamics of electrons such as the transport in nanometer scale semiconductor devices (nanodevices) and the dynamics of N-body problems in quantum chemistry. It is based on the Signed Particle Formulation. Of quantum mechanics, a (computationally convenient) phase-space formalism which can simulate time-dependent quantum problems involving single- and many-body systems. If you are i...

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Open Source TCAD Software. Don Scharfetter’s Presentation at SISPAD 2000. Open Source TCAD Software. Http:/ www.aestimosolver.org. Aestimo 1D Schrödinger-Poisson Solver. Http:/ www.gnu.org/software/archimedes/. Archimedes is the GNU package for the design and simulation of submicron semiconductor devices. It is a 2D Fast Monte Carlo simulator which can take into account all the relevant quantum effects, thank to the implementation of the Bohm effective potential method. (excerpt). 3D-DDCC) Three Dimensio...

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