|
|
The analytical transfer matrix method for quantum reflection |
Xu Tian(许田)a)†, Cao Zhuang-Qi(曹庄琪)b), and Fang Jing-Huai(方靖淮)a) |
a Physics Department, Nantong University, Nantong 226001, China; b Institute of Optics and Photonics, Shanghai Jiao Tong University, Shanghai 200240, China |
|
|
Abstract In this paper, the analytical transfer matrix method (ATMM) is applied to study the properties of quantum reflection in three systems: a sech$^{2}$ barrier, a ramp potential and an inverse harmonic oscillator. Our results agree with those obtained by Landau and Lifshitz [Landau L D and Lifshitz E M 1977 Quantum Mechanics (Non-relativistic Theory) (New York: Pergamon)], which proves that ATMM is a simple and effective method for quantum reflection.
|
Received: 12 June 2008
Revised: 04 July 2009
Accepted manuscript online:
|
PACS:
|
03.65.Ge
|
(Solutions of wave equations: bound states)
|
|
03.65.Fd
|
(Algebraic methods)
|
|
02.10.Yn
|
(Matrix theory)
|
|
Fund: Project supported by Science
Foundation of Nantong University (Grant Nos.~03080122 and 09ZY001). |
Cite this article:
Xu Tian(许田), Cao Zhuang-Qi(曹庄琪), and Fang Jing-Huai(方靖淮) The analytical transfer matrix method for quantum reflection 2010 Chin. Phys. B 19 040307
|
[1] |
Kasevich M and Chu S 1992 Phys. Rev. Lett. 69 1741
|
[2] |
Lawall J, Bardou F, Saubamea B, Shimizu K, Leduc M, Aspect A and Cohen-Tannoudji C 1994 Phys. Rev. Lett. 73 1915
|
[3] |
Reichel J, Bardou F, Ben-Dahan M, Peik E, Rand S, Solomon C and Cohen-Tannoudji C 1995 Phys. Rev. Lett. 75 4575
|
[4] |
Dahan M B, Peik E, Reichel J, Castin Y and Salomon C 1996 Phys. Rev. Lett. 76 4508
|
[5] |
Jurisch A and Friedrich H 2004 Phys. Rev. A 70 032711
|
[6] |
Friedrich H, Jacoby G and Meister C G 2002 Phys. Rev. A 65 032902
|
[7] |
Cao Z Q, Liu Q, Shen Q S, Dou X M and Chen Y L 2001 Phys. Rev. A 63 054103
|
[8] |
Xu T, Cao Z Q and Shen Q S 2005 Chin. Phys. Lett. 22 2746
|
[9] |
Xu T, Cao Z Q, Shen Q S and Zhu G L 2006 Chin. Phys. 15 1172
|
[10] |
Xu T, Cao Z Q and Fang J H 2008 Chin. Phys. B17 4379
|
[11] |
He Y, Cao Z Q and Shen Q S 2004 Chin. Phys. Lett. 21 2089
|
[12] |
Ou Y C, Cao Z Q and Shen Q S 2004 J. Chem. Phys. 121 8175
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|