A New Proof for the Harmonic-Potential Theorem

被引：3

作者：

Chen Jin-Wang ^{[1
]}

Yang Tao ^{[1
]}

Pan Xiao-Yin ^{[1
]}

机构：

[1] Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2013年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

QUANTUM; ELECTRONS; STATES;

D O I：

10.1088/0256-307X/30/2/020303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field. The time-dependent wave function is found to be a phase factor times the shifted initial state wave function. This then provides a new proof of the harmonic-potential theorem.

引用

页数：4

共 19 条

[1] ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS
ANDO, T
FOWLER, AB
STERN, F
[J]. REVIEWS OF MODERN PHYSICS, 1982, 54 (02) : 437 - 672
[2] [Anonymous], J CHEM PHYS
[3] [Anonymous], PHYS REV LETT
[4] Gravity-induced resonances in a rotating trap
Bialynicki-Birula, I
Sowinski, T
[J]. PHYSICAL REVIEW A, 2005, 71 (04):
[5] Theory of Bose-Einstein condensation in trapped gases
Dalfovo, F
Giorgini, S
Pitaevskii, LP
Stringari, S
[J]. REVIEWS OF MODERN PHYSICS, 1999, 71 (03) : 463 - 512
[6] HARMONIC-POTENTIAL THEOREM - IMPLICATIONS FOR APPROXIMATE MANY-BODY THEORIES
DOBSON, JF
[J]. PHYSICAL REVIEW LETTERS, 1994, 73 (16) : 2244 - 2247
[7] CENTRE-OF-MASS EFFECTS IN THE NUCLEAR SHELL-MODEL
ELLIOTT, JP
SKYRME, THR
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 232 (1191): : 561 - 566
[8] FIRSOV YA, 1962, SOV PHYS JETP-USSR, V14, P367
[9] Many-electron ground states in anisotropic parabolic quantum dots
Fujito, M
Natori, A
Yasunaga, H
[J]. PHYSICAL REVIEW B, 1996, 53 (15): : 9952 - 9958
[10] QUANTUM DOTS IN A MAGNETIC-FIELD - ROLE OF ELECTRON-ELECTRON INTERACTIONS
MAKSYM, PA
CHAKRABORTY, T
[J]. PHYSICAL REVIEW LETTERS, 1990, 65 (01) : 108 - 111

← 1 2 →