Geometry effects in confined space

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 1 2, 2004, Pages

  Dai, Wu Sheng ^a,b   Xie, Mi ^a  

^a TIANJIN UNIVERSITY   (China)

^b NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; DENSITY OF GASES; FERMI LEVEL; GROUND STATE; PROBLEM SOLVING; STATISTICAL METHODS; THERMODYNAMICS;

HARMONIC APPROXIMATIONS; INTERPARTICLE INTERACTIONS; PHOTON-PHONON SCATTERING; QUANTUM GASES;

QUANTUM THEORY;

EID: 42749108664     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.016103     Document Type: Article

References (24)

1. H. Potempa and L. Schweitzer, J. Phys. C 10, L431 (1998).
2. D. Braun, G. Montambaux, and M. Pascaud, Phys. Rev. Lett. 81, 1062 (1998).
3. V.E. Kravtsov and V.I. Yudson, Phys. Rev. Lett. 82, 157 (1999).
4. W.-S. Dai and M. Xie, Phys. Lett. A 311, 340 (2003).
5. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and C. A. Stegun (Dover, New York, 1972).
6. M. Kac, Am. Math. Monthly 73, 1 (1966).
7. K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987).
8. C. Kittel, Introduction to Solid State Physics, 7nd ed. (Wiley, New York, 1996).
9. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 1997).
10. A.E. Leanhardt, T.A. Pasquini, M. Saba, A. Schirotzek, Y. Shin, D. Kielpinski, D.E. Pritchard, and W. Ketterle, Science 301, 1513 (2003).
11. V.M.K. Bagci, O. Gülseren, T. Yildirim, Z. Gedik, and S. Ciraci, Phys. Rev. B 66, 045409 (2002).
12. S. Ciraci, A. Buldum, and Inder P. Batra, J. Phys.: Condens. Matter 13, R537 (2001).
13. R. Saito, M. Fujita, G. Dresselhaus, and M.S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992); J.W. Mintmire, B.I. Dunlap, and C.T. White, Phys. Rev. Lett. 68, 631 (1992); N. Hamada, S. Sawada, and A. Oshiyama, ibid. 68, 1579 (1992); J.W.G. Wilder, L.C. Venema, A.G. Rinzler, R.E. Smalley, and C. Dekker, Nature (London) 391, 59 (1998); T.W. Odom, J.-L. Huang, P. Kim, and C.M. Lieber, ibid. 391, 62 (1998).
14. R. Saito, M. Fujita, G. Dresselhaus, and M.S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992); J.W. Mintmire, B.I. Dunlap, and C.T. White, Phys. Rev. Lett. 68, 631 (1992); N. Hamada, S. Sawada, and A. Oshiyama, ibid. 68, 1579 (1992); J.W.G. Wilder, L.C. Venema, A.G. Rinzler, R.E. Smalley, and C. Dekker, Nature (London) 391, 59 (1998); T.W. Odom, J.-L. Huang, P. Kim, and C.M. Lieber, ibid. 391, 62 (1998).
15. R. Saito, M. Fujita, G. Dresselhaus, and M.S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992); J.W. Mintmire, B.I. Dunlap, and C.T. White, Phys. Rev. Lett. 68, 631 (1992); N. Hamada, S. Sawada, and A. Oshiyama, ibid. 68, 1579 (1992); J.W.G. Wilder, L.C. Venema, A.G. Rinzler, R.E. Smalley, and C. Dekker, Nature (London) 391, 59 (1998); T.W. Odom, J.-L. Huang, P. Kim, and C.M. Lieber, ibid. 391, 62 (1998).
16. R. Saito, M. Fujita, G. Dresselhaus, and M.S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992); J.W. Mintmire, B.I. Dunlap, and C.T. White, Phys. Rev. Lett. 68, 631 (1992); N. Hamada, S. Sawada, and A. Oshiyama, ibid. 68, 1579 (1992); J.W.G. Wilder, L.C. Venema, A.G. Rinzler, R.E. Smalley, and C. Dekker, Nature (London) 391, 59 (1998); T.W. Odom, J.-L. Huang, P. Kim, and C.M. Lieber, ibid. 391, 62 (1998).
17. R. Saito, M. Fujita, G. Dresselhaus, and M.S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992); J.W. Mintmire, B.I. Dunlap, and C.T. White, Phys. Rev. Lett. 68, 631 (1992); N. Hamada, S. Sawada, and A. Oshiyama, ibid. 68, 1579 (1992); J.W.G. Wilder, L.C. Venema, A.G. Rinzler, R.E. Smalley, and C. Dekker, Nature (London) 391, 59 (1998); T.W. Odom, J.-L. Huang, P. Kim, and C.M. Lieber, ibid. 391, 62 (1998).
18. T.D. Lee and C.N. Yang, Phys. Rev. 105, 1119 (1957).
19. J.R. Anglin and W. Ketterle, Nature (London) 416, 211 (2002).
20. D. Kleppner, T. J. Greytak, T. C. Killian, D. G. Fried, L. Willmann, D. Landhuis, and S. C. Moss, in Proceedings of the International School of Physics "Enrico Fermi," Course CXL edited by M. Inguscio, S. Stringari, and C. Wieman (IOS Press, Amsterdam, 1999); D.G. Fried, T.C. Killian, L. Willmann, D. Landhuis, S.C. Moss, D. Kleppner, and T.J. Greytak, Phys. Rev. Lett. 81, 3811 (1998).
21. D. Kleppner, T. J. Greytak, T. C. Killian, D. G. Fried, L. Willmann, D. Landhuis, and S. C. Moss, in Proceedings of the International School of Physics "Enrico Fermi," Course CXL edited by M. Inguscio, S. Stringari, and C. Wieman (IOS Press, Amsterdam, 1999); D.G. Fried, T.C. Killian, L. Willmann, D. Landhuis, S.C. Moss, D. Kleppner, and T.J. Greytak, Phys. Rev. Lett. 81, 3811 (1998).
22. K. Huang and C.N. Yang, Phys. Rev. 105, 767 (1957); T.D. Lee, K. Huang, and C.N. Yang, ibid. 106, 1135 (1957).
23. K. Huang and C.N. Yang, Phys. Rev. 105, 767 (1957); T.D. Lee, K. Huang, and C.N. Yang, ibid. 106, 1135 (1957).
24. W.-S. Dai and M. Xie (unpublished).