Quantum-mechanical particle confined to surfaces of revolution -Truncated cone and elliptic torus case studies

Physica Scripta

Volumn 72, Issue 2-3, 2005, Pages 105-111

  Gravesen, Jens ^a,c   Willatzen, Morten ^a   Voon, L C Lew Yan ^b  

^a UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

^b WRIGHT STATE UNIVERSITY   (United States)

^c TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; NANOSTRUCTURED MATERIALS; ORDINARY DIFFERENTIAL EQUATIONS; SURFACES; VECTORS;

EIGENSTATES; QUANTUM-MECHANICAL CONFINEMENT; SPATIAL STRUCTURES; TWO-DIMENSIONAL STRUCTURES;

QUANTUM THEORY;

EID: 23344454257     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/Physica.Regular.072a00105     Document Type: Article

References (23)

1. Ando, T., Fowler, A. and Stern, F., Rev. Mod. Phys. 54, 437 (1992).
2. Ya Prinz, V., Grutzmacher, D., Beyer, A., David, C. and Ketterer, B., Nanoteehnology 12, S1 (2001).
3. Schmidt, O. G. and Eberl, K., Nature (London) 410, 168 (2001).
4. Matsutani, S. and Tsuru, H., J. Phys. Soc. Jpn. 60, 3640 (1991).
5. Tanda, S. et al., Nature (London) 417, 397 (2002).
6. Shimizu, K. T., Woo, W. K., Fisher, B. R., Eisler, H. J. and Bawendi, M. G., Phys. Rev. Lett. 89, 117401 (2002).
7. Duan, X. et al., Nature 425, 274 (2003).
8. Cuniberti, G., Yi, J. and Porto, M., Appl. Phys. Lett. 81, 850 (2002).
9. Zhang, G., Jiang, X. and Wang, E., Science 300, 472 (2003).
10. Garsia, J. M. et al., Appl. Phys. Lett. 71, 2014 (1997).
11. Lorke, A. et al. Phys. Rev. Lett. 84, 2223 (2000).
12. Emperador, A., Pi, M., Barranco, M. and Lorke, A., Phys. Rev. B 62, 4573 (2000).
13. Liu, J. et al., Nature (London) 385, 780 (1997).
14. Martel, R., Shea, H. R. and Avouris, P., Science 398, 299 (1999).
15. da Costa, R. C. T., Phys. Rev. A 23, 1982 (1981).
16. Goldstone, J. and Jaffe, R. L., Phys. Rev. B 45, 14100 (1992).
17. Encinosa, M. and Eternadi, B., Phys. Rev. A 58, 77 (1998).
18. Cantela, G., Ninno, D. and Iadonisi, G., Phys. Rev. B 61, 13730 (2000).
19. Cantele, G., Ninno, D. and Iadonisi, G., J. Phys.: Condens. Matter 12, 9019 (2000).
20. Jensen, H. and Koppe, H., Ann. Phys. (Leipzig) 63, 586 (1971).
21. Lipshitz, M., "Theory and Problems of Differential Geometry" (McGraw-Hill, 1969).
22. Gravesen, J., Willatzen, M. and Lew Yan Voon, L. C., J. Math. Phys. 46, 012107 (2005).
23. Lew Yan Voon, L. C., Lassen, B., Melnik, R. and Willatzen, M., Nano Lett. 4, 289 (2004).