Mage's Rhizome

Collection of references for the force balance namespace.

@comment{refnotes,
  namespace = "cite:forcebalance"
},
 
@book{martin_electronic_2020,
	edition = {2},
	title = {Electronic {Structure}: {Basic} {Theory} and {Practical} {Methods}},
	isbn = {978-1-108-55558-6 978-1-108-42990-0},
	shorttitle = {Electronic {Structure}},
	url = {https://www.cambridge.org/core/product/identifier/9781108555586/type/book},
	language = {en},
	urldate = {2023-10-18},
	publisher = {Cambridge University Press},
	author = {Martin, Richard M.},
	month = aug,
	year = {2020},
	doi = {10.1017/9781108555586},
	file = {Martin - 2020 - Electronic Structure Basic Theory and Practical M.pdf:C\:\\Users\\chjoe\\Zotero\\storage\\JIGQA8DZ\\Martin - 2020 - Electronic Structure Basic Theory and Practical M.pdf:application/pdf},
 
@book{stefanucci_nonequilibrium_2013,
	address = {Cambridge},
	title = {Nonequilibrium many-body theory of quantum systems: a modern introduction},
	isbn = {978-0-521-76617-3},
	shorttitle = {Nonequilibrium many-body theory of quantum systems},
	abstract = {"The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics"--},
	publisher = {Cambridge University Press},
	author = {Stefanucci, Gianluca and Leeuwen, Robert van},
	year = {2013},
	keywords = {Green's functions, Many-body problem, Mathematics, Quantum theory, SCIENCE / Physics},
	annote = {Machine generated contents note: Preface; 1. Second quantization; 2. Getting familiar with second quantization: model Hamiltonians; 3. Time-dependent problems and equations of motion; 4. The contour idea; 5. Many-particle Green's functions; 6. One-particle Green's function; 7. Mean field approximations; 8. Conserving approximations: two-particle Green's function; 9. Conserving approximations: self-energy; 10. MBPT for the Green's function; 11. MBPT and variational principles for the grand potential; 12. MBPT for the two-particle Green's function; 13. Applications of MBPT to equilibrium problems; 14. Linear response theory: preliminaries; 15. Linear response theory: many-body formulation; 16. Applications of MBPT to nonequilibrium problems; Appendices; Index},
},
 
@article{tchenkoue_force_2019,
	title = {Force balance approach for advanced approximations in density functional theories},
	volume = {151},
	issn = {0021-9606, 1089-7690},
	url = {https://pubs.aip.org/jcp/article/151/15/154107/1019550/Force-balance-approach-for-advanced-approximations},
	doi = {10.1063/1.5123608},
	abstract = {We propose a systematic and constructive way to determine the exchange-correlation potentials of density-functional theories including vector potentials. The approach does not rely on energy or action functionals. Instead, it is based on equations of motion of current quantities (force balance equations) and is feasible both in the ground-state and the time-dependent settings. This avoids, besides differentiability and causality issues, the optimized-effective-potential procedure of orbital-dependent functionals. We provide straightforward exchange-type approximations for different density functional theories that for a homogeneous system and no external vector potential reduce to the exchange-only local-density and Slater Xα approximations.},
	language = {en},
	number = {15},
	urldate = {2023-11-03},
	journal = {The Journal of Chemical Physics},
	author = {Tchenkoue, Mary-Leena M. and Penz, Markus and Theophilou, Iris and Ruggenthaler, Michael and Rubio, Angel},
	month = oct,
	year = {2019},
	pages = {154107},
	file = {Tchenkoue et al. - 2019 - Force balance approach for advanced approximations.pdf:C\:\\Users\\chjoe\\Zotero\\storage\\736FVSSC\\Tchenkoue et al. - 2019 - Force balance approach for advanced approximations.pdf:application/pdf},
}