An introduction to applied quantum mechanics in the Wigner Monte Carlo formalism
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Publication:516728
DOI10.1016/j.physrep.2015.03.001zbMath1357.81133OpenAlexW2048121558WikidataQ62600587 ScholiaQ62600587MaRDI QIDQ516728
J. M. Sellier, M. Nedjalkov, Ivan T. Dimov
Publication date: 15 March 2017
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physrep.2015.03.001
Wigner equationMonte Carlo methodsquantum mechanicsdensity functional theoryquantum chemistryelectron transportstrongly correlated systemsquantum many-body problemab-initio methodsmesoscopic physics
Many-body theory; quantum Hall effect (81V70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)
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- A Wigner Monte Carlo approach to density functional theory
- On the simulation of indistinguishable fermions in the many-body Wigner formalism
- A sensitivity study of the Wigner Monte Carlo method
- The Wigner-Boltzmann Monte Carlo method applied to electron transport in the presence of a single dopant
- The many-body Wigner Monte Carlo method for time-dependent ab-initio quantum simulations
- Admissible states in quantum phase space
- The wigner distribution function for systems of bosons or fermions
- Hydrogen atom in phase space: the Wigner representation
- State reconstruction and irregular wavefunctions for the hydrogen atom
- The Role of Annihilation in a Wigner Monte Carlo Approach
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- A benchmark study of the Wigner Monte Carlo method
- Monte Carlo Methods for Applied Scientists
- The Monte Carlo Method
- A Simplification of the Hartree-Fock Method
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
- On the principles of elementary quantum mechanics
- Particle Monte Carlo simulation of Wigner function tunneling
- Wigner-function formulation for quantum transport in semiconductors: Theory and Monte Carlo approach