Boundary element method for electron waves in uniform magnetic fields

Engineering Analysis with Boundary Elements

Volumn 17, Issue 1, 1996, Pages 69-74

  Ueta, Tsuyoshi ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

Boundary element method; Electron wave; Magnetic field

Indexed keywords

ELECTRON BEAMS; ELECTRON TRANSPORT PROPERTIES; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MAGNETIC FIELD EFFECTS; MAGNETIC FIELDS; QUANTUM THEORY;

ELECTRON WAVES; SCHROEDINGER EQUATION;

BOUNDARY ELEMENT METHOD;

EID: 0029714368     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/0955-7997(95)00091-7     Document Type: Article

References (16)

1. Ford, C. J. B., Washburn, S., Büttiker, M., Knoedler, C. M. & Hong, J. M. Influence of geometry on the Hall effect in ballistic wires. Phys. Ref. Lett., 1989, 62, 2724-7.
2. Marcus, C. M., Westervelt, R. M., Hopkins, P. F. & Gossard, A. C. Phase breaking in ballistic quantum dots: experiment and analysis based on chaotic scattering. Phys. Rev. B., 1993, 48, 2460-4.
3. van Houten, H., Beenakker, C. W. J., Williamson, J. G., Broekaart, M. E. I. & van Loosdrecht, P. H. M. Coherent electron focusing with quantum point contacts in a two-dimensional electron gas. Phys. Rev. B., 1989, 39, 8556-75.
4. Peeters, F. M. Quantum Hall resistance in the quasi-one-dimensional electron gas. Phys. Rev. Lett., 1988, 61, 589-92.
5. Schult, R. L., Wyld, H. W. & Ravenhall, D. G. Quantum Hall effect and general narrow-wire circuits. Phys. Rev. B., 1990, 41, 12760-80.
6. Nakamura, A., Maki, Y. & Okiji, A. Wave functions around the injector of the two-dimensional electron system. J. Phys. Soc. Jpn, 1991, 60, 749-52.
7. Frohne, H. R., McLennan, M. J. & Datta, S. An efficient method for the analysis of electron waveguides. J. Appl. Phys., 1989, 66, 2699-705.
8. Ueta, T. Green's function of a charged particle in magnetic fields. J. Phys. Soc. Jpn, 1992, 61, 4314-24.
9. Brebbia, C. A. The Boundary Element Method for Engineers. Pentech Press, London, 1978.
10. Abramowitz, M. & Stegun, I. A. Handbook of Mathematical Functions. Dover, New York, 1970, pp 504-15.
11. Amemiya, K. & Kawamura, K. Hall resistance anomalies and quasi-bound states within Hall junction. J. Phys. Soc. Jpn, 1994, 63, 3087-97.
12. Nakamura, K., Ito, K. & Takane, Y. Magnetoconductance in open stadium billiard: quantum analogue of transition from chaos to tori. J. Phys. Soc. Jpn, 1994, 63, 3210-13.
13. Ueta, T. Quantum-mechanical study of skipping orbits of electrons in magnetic fields. J. Phys. Soc. Jpn, 1994, 63, 4506-13.
14. Amemiya, K. & Kawamura, K. Analysis of the Hall effect in terms of magnetofocusing in quantum dots. J. Phys. Soc. Jpn, 1995, 64, 1245-50.
15. Ueta, T. Quantum-mechanical study of electron focusing spectrum and quantized billiard model. J. Phys. Soc. Jpn, 1995, 64, 4813-23.
16. Wang, Y., Wang, J. & Guo, H. Magnetoconductance of a stadium-shaped quantum dot: a finite-element-method approach. Phys. Rev. B., 1994, 49, 1928-34.