Volume 4, Issue 5
The Quantum Lattice Boltzmann Equation: Recent Developments

Silvia Palpacelli & Sauro Succi

DOI:

Commun. Comput. Phys., 4 (2008), pp. 980-1007.

Published online: 2008-11

Preview Full PDF 143 586
Export citation
  • Abstract

The derivation of the quantum lattice Boltzmann model is reviewed with special emphasis on recent developments of the model, namely, the extension to a multi-dimensional formulation and the application to the computation of the ground state of the Gross-Pitaevskii equation (GPE). Numerical results for the linear and nonlinear Schro¨dinger equation and for the ground state solution of the GPE are also presented and validated against analytical results or other classical schemes such as Crank-Nicholson. 

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

  • BibTex
  • RIS
  • TXT
@Article{CiCP-4-980, author = {Silvia Palpacelli and Sauro Succi}, title = {The Quantum Lattice Boltzmann Equation: Recent Developments}, journal = {Communications in Computational Physics}, year = {2008}, volume = {4}, number = {5}, pages = {980--1007}, abstract = {

The derivation of the quantum lattice Boltzmann model is reviewed with special emphasis on recent developments of the model, namely, the extension to a multi-dimensional formulation and the application to the computation of the ground state of the Gross-Pitaevskii equation (GPE). Numerical results for the linear and nonlinear Schro¨dinger equation and for the ground state solution of the GPE are also presented and validated against analytical results or other classical schemes such as Crank-Nicholson. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7823.html} }
TY - JOUR T1 - The Quantum Lattice Boltzmann Equation: Recent Developments AU - Silvia Palpacelli & Sauro Succi JO - Communications in Computational Physics VL - 5 SP - 980 EP - 1007 PY - 2008 DA - 2008/11 SN - 4 DO - http://dor.org/ UR - https://global-sci.org/intro/cicp/7823.html KW - AB -

The derivation of the quantum lattice Boltzmann model is reviewed with special emphasis on recent developments of the model, namely, the extension to a multi-dimensional formulation and the application to the computation of the ground state of the Gross-Pitaevskii equation (GPE). Numerical results for the linear and nonlinear Schro¨dinger equation and for the ground state solution of the GPE are also presented and validated against analytical results or other classical schemes such as Crank-Nicholson. 

Silvia Palpacelli & Sauro Succi. (1970). The Quantum Lattice Boltzmann Equation: Recent Developments. Communications in Computational Physics. 4 (5). 980-1007. doi:
Copy to clipboard
The citation has been copied to your clipboard