| Lu Jeu Sham | |
|---|---|
| Name | Lu Jeu Sham |
| Native name | 沈履中 |
| Birth date | 1938 |
| Birth place | Guangdong, China |
| Nationality | Canadan / United States |
| Fields | Condensed matter physics, Quantum physics, Density functional theory |
| Alma mater | University of British Columbia, University of California, San Diego |
| Doctoral advisor | Walter Kohn |
| Known for | Kohn–Sham formulation of density functional theory |
| Awards | Fellow of the Royal Society, Fellow of the American Physical Society |
Lu Jeu Sham
Lu Jeu Sham (born 1938) is a theoretical physicist known for co-developing the Kohn–Sham equations, a foundational formalism in density functional theory (DFT) that transformed computational approaches within quantum mechanics and condensed matter physics. His work enabled practical electronic structure calculations used across chemistry, materials science, and nanotechnology, influencing both academic research and industry applications in the late 20th and 21st centuries.
Lu Jeu Sham was born in Guangdong Province and emigrated with his family, later undertaking higher education in North America. He earned a B.Sc. at the University of British Columbia and pursued graduate studies at the University of California, San Diego, where he completed his Ph.D. under the supervision of Walter Kohn, a future Nobel laureate noted for his work on electronic structure. During his doctoral training Sham developed expertise in many-body theory, quantum statistical mechanics, and techniques that bridged theoretical physics with computational needs in materials research. His early academic environment connected him with the broader post-war expansion of theoretical physics in institutions such as Bell Labs and Princeton University where colleagues worked on electron correlations and collective excitations.
Sham's contributions sit at the intersection of rigorous many-body quantum theory and practical computational methods. He explored electron interactions, screening, and collective modes in solids, contributing to the understanding of quasiparticles and response functions within quantum field theory applied to condensed systems. His analyses of exchange and correlation effects informed subsequent developments in approximations used by electronic structure codes employed by scientists in materials science, chemistry, and nanotechnology.
Beyond the Kohn–Sham formulation, Sham worked on the linear response of electronic systems, connecting theoretical constructs such as the Random Phase Approximation and Green's function methods to observable properties like optical spectra and transport. He engaged with contemporaneous developments by researchers including John C. Slater, David Bohm, and Philip W. Anderson, situating his work within a collaborative network that reshaped modern condensed matter theory.
Sham is best known for the 1965 Kohn–Sham paper coauthored with Walter Kohn, which recast the intractable N-electron Schrödinger problem into a set of self-consistent single-particle equations—now termed the Kohn–Sham equations. This innovation made density functional theory computationally practical by introducing an effective potential accounting for exchange and correlation energies. The Kohn–Sham approach underpins widely used approximations such as the Local density approximation and Generalized gradient approximation, and it enabled the development of electronic structure software packages like VASP, Quantum ESPRESSO, and Gaussian that are central to modern computational chemistry and materials design.
The Kohn–Sham framework also catalyzed interdisciplinary impacts: it reduced computational barriers for predicting material properties, thereby influencing sustainable materials research, energy technologies, and equitable access to computational tools in global research communities. Sham's work, by facilitating widespread computational capability, contributed to democratizing advanced modeling—allowing researchers from diverse institutions to participate in materials innovation.
Sham held faculty positions and research appointments at institutions that promoted theoretical and computational physics. He trained graduate students and postdoctoral researchers who continued in academia and industry, propagating methods and standards in electronic structure theory. Sham's mentorship emphasized rigorous quantum foundations alongside attention to real-world applicability, shaping a lineage of physicists and chemists who advanced DFT, many-body perturbation theory (such as the GW approximation), and time-dependent extensions like time-dependent density functional theory (TDDFT).
He collaborated with experimentalists and computational groups, fostering interdisciplinary projects that linked theory to spectroscopy, electron microscopy, and materials synthesis. His academic service included seminar leadership, peer review, and contributions to curricula that integrated quantum theory with computational practice.
Sham was elected a Fellow of the Royal Society and a Fellow of the American Physical Society in recognition of his theoretical contributions. His work underlies many computational tools used across research and industry, affecting sectors such as semiconductors, photovoltaics, and catalysis. By enabling predictive modeling, the Kohn–Sham approach has been central to efforts to develop low-carbon technologies and to accelerate materials discovery, with implications for environmental justice and equitable technology diffusion.
Sham's influence extends to science policy and education through his advocacy for accessible computational resources and collaborative research models that include underrepresented institutions. His legacy supports initiatives that aim to reduce barriers to high-performance computing and to ensure that benefits from materials innovation reach diverse communities globally.
- Walter Kohn; Lu Jeu Sham (1965). "Self-Consistent Equations Including Exchange and Correlation Effects." Physical Review. — the seminal paper establishing the Kohn–Sham equations and a cornerstone of density functional theory. - Lu Jeu Sham and colleagues — papers on electronic response functions and exchange-correlation potentials that informed later practical approximations used in DFT codes and TDDFT implementations. - Works connecting many-body Green's function techniques and practical electronic structure, contributing to foundations for approaches such as the GW approximation and Bethe–Salpeter equation for excited states.
Selected works by Sham are frequently cited alongside foundational texts by Pierre Hohenberg, Walter Kohn, and later expositions by authors of computational packages and review articles in journals such as Physical Review Letters, Reviews of Modern Physics, and Journal of Chemical Physics.
Category:1938 births Category:Living people Category:Condensed matter physicists Category:Density functional theory