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Summary: Analytical Models for Quantized Sub-Band Energy Levels and Inversion Charge
Centroid of MOS Structures Derived from Asymptotic and WKB Approximations
H. Abebe*
, E. Cumberbatch**
, H. Morris***
and V. Tyree*
*
USC Viterbi School of Engineering, Information Sciences Institute, MOSIS service,
Marina del Rey, CA 90292, USA. Tel: (310) 448-8740, Fax: (310) 823-5624,
e-mail: abebeh@mosis.org and tyree@mosis.org
**
Claremont Graduate University, School of Mathematical Sciences,
710 N College Ave, Claremont, CA 91711, USA. Tel: (909) 607-3369,
Fax: (909) 621-8390, e-mail: ellis.cumberbatch@cgu.edu
***
Department of Mathematics, San Jose State University,
San Jose, CA 95192, USA, morris@math.sjsu.edu
ABSTRACT
Analytical solutions for the coupled Schrödinger and
Poisson equations are usually determined using a triangular
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