Role of a phase factor in the boundary condition of a One-dimensional junction

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 35, 2010, Pages

  Furuhashi, Yoshiyuki ^a   Hirokawa, Masao ^a   Nakahara, Kazumitsu ^a   Shikano, Yutaka ^b,c  

^a OKAYAMA UNIVERSITY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^c Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649605357     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/35/354010     Document Type: Article

References (38)

1. Tonomura A, Endo J, Matsuda T, Kawasaki T and Ezawa H 1989 Am. J. Phys. 57 117
2. Arndt M, Nairz O, Vos-Andreae J, Keller C, van der Zouw G and Zeilinger A 1999 Nature 401 680
3. Jacques V, Wu E, Grosshans F, Treussart F, Grangier P, Aspect A and Roch J-F 2007 Science 315 966
4. Aharonov y and Bohm D 1961 Phys. Rev. 115 485
5. Berry M V 1984 Proc. R. Soc. A 392 45
6. Webb R, Washburn S, Umbach C and Laibowitz D C 1985 Phys. Rev. Lett. 54 2696
7. Osakabe N, Matsuda T, Kawasaki T, Endo J, Tonomura A, Yano S and Yamada H 1986 Phys. Rev. A 34 815
8. Bachtold A, Strunk C, Salvetat J-P, Bonard J-M, Forró L, Nussbaumer T and Schönenberger C 1999 Nature 397 673
9. Tomita A and Chiao R y 1986 Phys. Rev. Lett. 57 937
10. Kitano M, Yabusaki T and Ogawa T 1987 Phys. Rev. Lett. 58 523
11. Jones J A, Vedral V, Ekert A and Castagnoli G 2000 Nature 403 869
12. Giamarchi T 2004 Quantum Physics in One Dimension (Oxford: Oxford University Press)
13. Saito R, Fujita M, Dresselhaus G and Dresselhaus M S 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press)
14. Gudiksen M S, Lauhon L J, Wang J, Smith D C and Lieber C M 2002 Nature 415 617
15. Björk M T, Ohlsson B J, Sass T, Persson A I, Thelander C, Magnusson M H, Deppert K, Wallenberg L R and Samuelson L 2002 Appl. Phys. Lett. 80 1058
16. Wu Y, Fan R and Yang P 2002 Nano Lett. 2 83
17. Tans S J, Devoret M H, Dal H, Thess A, Smalley R E, Geerligs L J and Dekker C 1997 Nature 386 474
18. Franceschi S D, van Dam J A, Bakkers E P A M, Feiner L F, Gurevich L and Kouwenhoven L P 2003 Appl. Phys. Lett. 83 344
19. Thelander C, Mårtsson T, Björk M T, Ohlsson B J, Larsson M W, Wallenberg L R and Samuelson L 2003 Appl. Phys. Lett. 83 2052
20. Biercuk M J, Ilani S, Marcus C M and McEuen P L 2008 Carbon Nanotubes-Advanced Topics in the Synthesis, Structure, Properties and Applications ed A Jorio, G Dresselhaus and M S Dresselhaus (Berlin: Springer) pp 455-93
21. von Neumann J 1932 Mathematische Grundlagen der Quantumechanik (Berlin: Springer)
22. Beyer R T (trans.) 1955 Mathematical Foundations of Quantum Mechanics (Princeton, NJ: Princeton University Press) (Engl. Transl.)
23. Reed M and Simon B 1975 Methods of Modern Mathematical Physics II (New York: Academic)
24. Hirokawa M 2000 J. Funct. Anal. 174 322
25. Albeverio S, Gesztesy F, Hoegh-Krohn R and Holden H 2004 Solvable Models in Quantum Mechanics (with Appendix Written by Pavel Exner) 2nd edn (New York: Chelsea)
26. Exner P 1996 J. Phys. A: Math. Gen. 29 87
27. Exner P and Grosse H 1999 arXiv:math-ph/9910029
28. Weidmann J 1980 Linear Operators in Hilbert Spaces (New York: Springer)
29. Reed M and Simon B 1980 Methods of Modern Mathematical Physics: I. Functional Analysis (New York: Academic)
30. Aoki T, Kawai T and Takei y 2002 J. Phys. A: Math. Gen. 35 2401
31. Berk H L, Nevins W M and Roberts K V 1982 J. Math. Phys. 23 988
32. Bohm D 1989 Quantum Theory (New York: Dover)
33. Tokuno A, Oshikawa M and Demler e 2008 Phys. Rev. Lett. 100 140402
34. Cheon T, Fülöp T and Tsutsui I 2001 Ann. Phys. 294 1
35. Hou C-Y, Kim E-A and Chamon C 2009 Phys. Rev. Lett. 102 076602
36. Ström A and Johannesson H 2009 Phys. Rev. Lett. 102 096806
37. Bonneau G, Faraut J and Valent G 2001 Am. J. Phys. 69 322
38. Shikano y and Hosoya A 2008 J. Math. Phys. 49 052104