Accurate calculation of Green's function of the Schroedinger equation in a block layered potential

Journal Article · Sun Dec 10 04:00:00 EST 2006 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2006.04.009· OSTI ID:20840368

Sihong, Shao ^[1]; Wei, Cai ^[2]; Huazhong, Tang ^[1]

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1. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871 (China)
2. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Fretwell 390G, Charlotte, NC 28223 (United States)

In this paper a new algorithm is presented for calculating the Green's function of the Schroedinger equation in the presence of block layered potentials. Such Green's functions have various and practical applications in quantum modelling of electron transport within nano-MOSFET transistors. The proposed method is based on expansions of the eigenfunctions of the subordinate Sturm-Liouville problems and a collocation matching procedure along possibly curved interfaces of the potential blocks. Accurate numerical results are provided to validate the proposed algorithm.

• OSTI ID: 20840368
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 219; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
EIGENFUNCTIONS
ELECTRONS
GREEN FUNCTION
MOSFET
POTENTIALS
SCHROEDINGER EQUATION