Green{close_quote}s-function approach to quantum confinement

Journal Article · Wed Apr 01 04:00:00 EST 1998 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.57.9515· OSTI ID:627817

Mizel, A; Cohen, M L ^[1]

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1. Department of Physics, University of California at Berkeley, Berkeley, California94720 (United States)

We present a rigorous means of computing the electronic properties of a confined system by perturbing the electronic properties of an unconfined, bulk system. Our approach focuses on the Green{close_quote}s function of the confined system. We explain why it is preferable to consider the confined Green{close_quote}s function rather than the confined energy eigenfunctions, and an expression for the change in the Green{close_quote}s function produced by quantum confinement is derived. Finally, we shift our focus to the eigenfunctions and derive approximate results for a spherical nanocrystal with a Green{close_quote}s function methodology. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 627817
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 16 Vol. 57; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONFINEMENT
CRYSTALS
EIGENFUNCTIONS
GREEN FUNCTION
PERTURBATION THEORY
QUANTUM MECHANICS
SERIES EXPANSION
SYMMETRY BREAKING