Smooth double barriers in quantum mechanics

被引：20

作者：

Dutt, Avik ^{[1
]}

Kar, Sayan ^{[2
,3
]}

机构：

[1] Indian Inst Technol, Dept Elect & Elect Commun Engn, Kharagpur 721302, W Bengal, India

[2] Indian Inst Technol, Dept Phys & Meteorol, Kharagpur 721302, W Bengal, India

[3] Indian Inst Technol, Ctr Theoret Studies, Kharagpur 721302, W Bengal, India

来源：

AMERICAN JOURNAL OF PHYSICS | 2010年 / 78卷 / 12期

基金：

美国国家科学基金会;

关键词：

TUNNELING TIMES; PHYSICS;

D O I：

10.1119/1.3481701

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Quantum mechanical tunneling across smooth double barrier potentials is modeled using Gaussian functions and is analyzed numerically and by using the WKB approximation. The transmission probability, resonances as a function of incident particle energy, and their dependence on the barrier parameters are obtained for various cases. We also discuss the tunneling time, for which we obtain generalizations of the known results for rectangular barriers. (C) 2010 American Association of Physics Teachers. [DOI: 10.1119/1.3481701]

引用

页码：1352 / 1360

页数：9

共 24 条

[1] Nobel Lecture: The double heterostructure concept and its applications in physics, electronics, and technology [J].

Alferov, ZI .

REVIEWS OF MODERN PHYSICS, 2001, 73 (03) :767-782

[2]

[Anonymous], 1965, QUANTUM MECH

[3]

BEISER A, 1984, CONCEPTS MODERN PHYS

[4]

Cohen-Tannoudji C., 1977, QUANTUM MECH, V1

[5] Quantum tunneling time [J].

Davies, PCW .

AMERICAN JOURNAL OF PHYSICS, 2005, 73 (01) :23-27

[6] A BARRIER-PENETRATION MODEL FOR HEAVY-ION FUSION, VALID AT ALL ENERGIES [J].

DESCOUVEMONT, P ;

BAYE, D ;

HEENEN, PH .

ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1982, 306 (01) :79-88

[7] TUNNELING OF A WAVE PACKET [J].

HARTMAN, TE .

JOURNAL OF APPLIED PHYSICS, 1962, 33 (12) :3427-&

[8] TUNNELING TIMES - A CRITICAL-REVIEW [J].

HAUGE, EH ;

STOVNENG, JA .

REVIEWS OF MODERN PHYSICS, 1989, 61 (04) :917-936

[9] Transmission resonances in above-barrier reflection of ultra-cold atoms by the Rosen-Morse potential [J].

Ishkhanyan, H. A. ;

Krainov, V. P. ;

Ishkhanyan, A. M. .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2010, 43 (08)

[10] Multiple-scale analysis for resonance reflection by a one-dimensional rectangular barrier in the Gross-Pitaevskii problem [J].

Ishkhanyan, H. A. ;

Krainov, V. P. .

PHYSICAL REVIEW A, 2009, 80 (04)

← 1 2 3 →