Quantum propagation and confinement in 1D systems using the transfer-matrix method

被引：7

作者：

Pujol, Olivier ^{[1
]}

Carles, Robert ^{[2
]}

Perez, Jose-Philippe ^{[3
]}

机构：

[1] Univ Lille 1, UFR Phys, Opt Atmospher Lab, F-59655 Villeneuve Dascq, France

[2] Univ Toulouse, CEMES, F-31055 Toulouse 4, France

[3] Univ Toulouse, IRAP, Observ Midi Pyrenees, F-31400 Toulouse, France

来源：

EUROPEAN JOURNAL OF PHYSICS | 2014年 / 35卷 / 03期

关键词：

transfer-matrix; quantum physics; confinement; reflection and transmission; MECHANICS;

D O I：

10.1088/0143-0807/35/3/035025

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The aim of this article is to provide some MATLAB scripts to the teaching community in quantum physics. The scripts are based on the transfer-matrix formalism and offer a very efficient and versatile tool to solve problems of a physical object (electron, proton, neutron, etc) with one-dimensional (1D) stationary potential energy. Resonant tunnelling through a multiple-barrier or confinement in wells of various shapes is particularly analysed. The results are quantitatively discussed with semiconductor heterostructures, harmonic and anharmonic molecular vibrations, or neutrons in a gravity field.

引用

页数：26

共 15 条

[1] SOLVING THE SCHRODINGER-EQUATION IN ARBITRARY QUANTUM-WELL POTENTIAL PROFILES USING THE TRANSFER-MATRIX METHOD
JONSSON, B
ENG, ST
[J]. IEEE JOURNAL OF QUANTUM ELECTRONICS, 1990, 26 (11) : 2025 - 2035
[2] MAN-MADE QUANTUM WELLS - A NEW PERSPECTIVE ON THE FINITE SQUARE-WELL PROBLEM
KOLBAS, RM
HOLONYAK, N
[J]. AMERICAN JOURNAL OF PHYSICS, 1984, 52 (05) : 431 - 437
[3] Diatomic molecules according to the wave mechanics. II. Vibrational levels
Morse, PM
[J]. PHYSICAL REVIEW, 1929, 34 (01): : 57 - 64
[4] Study of the neutron quantum states in the gravity field
Nesvizhevsky, VV
Petukhov, AK
Börner, HG
Baranova, TA
Gagarski, AM
Petrov, GA
Protasov, KV
Voronin, AY
Baessler, S
Abele, H
Westphal, A
Lucovac, L
[J]. EUROPEAN PHYSICAL JOURNAL C, 2005, 40 (04): : 479 - 491
[5] Perez J-Ph, 2013, QUANTIQUE FONDEMENTS, P1078
[6] INTEREST OF THE TRANSFER-MATRIX FOR SYMMETRICAL SYSTEMS IN LIGHT OPTICS AND IN CHARGED-PARTICLE OPTICS
PEREZ, JP
LANNES, A
[J]. JOURNAL OF OPTICS-NOUVELLE REVUE D OPTIQUE, 1989, 20 (01): : 3 - 11
[7] A synthetic approach to the transfer matrix method in classical and quantum physics
Pujol, O.
Perez, J. P.
[J]. EUROPEAN JOURNAL OF PHYSICS, 2007, 28 (04) : 679 - 691
[8] The transfer matrix: A geometrical perspective
Sanchez-Soto, Luis L.
Monzon, Juan J.
Barriuso, Alberto G.
Carinena, Jose F.
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2012, 513 (04): : 191 - 227
[9] Revisiting elementary quantum mechanics with the BenDaniel-Duke boundary condition
Singh, VA
Kumar, L
[J]. AMERICAN JOURNAL OF PHYSICS, 2006, 74 (05) : 412 - 418
[10] TUNNELING IN A FINITE SUPERLATTICE
TSU, R
ESAKI, L
[J]. APPLIED PHYSICS LETTERS, 1973, 22 (11) : 562 - 564

← 1 2 →