Analytic solutions of topologically disjoint systems

被引：23

作者：

Armstrong, J. R. ^{[1
]}

Volosniev, A. G. ^{[2
]}

Fedorov, D. V. ^{[2
]}

Jensen, A. S. ^{[2
]}

Zinner, N. T. ^{[2
]}

机构：

[1] Winona State Univ, Dept Phys, Winona, MN 55987 USA

[2] Aarhus Univ, Dept Phys & Astron, DK-8000 Aarhus C, Denmark

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 08期

关键词：

few-body systems; exactly solvable models; harmonic expansion; MODEL; ENTANGLEMENT; THERMODYNAMICS; PARTICLES; ENTROPY; ATOMS;

D O I：

10.1088/1751-8113/48/8/085301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a procedure to solve an up to 2N problem where the particles are separated topologically in N groups with at most two particles in each. Arbitrary interactions are allowed between the (two) particles within one group. All other interactions are approximated by harmonic oscillator potentials. The problem is first reduced to an analytically solvable N-body problem and N independent two-body problems. We calculate analytically spectra, wave functions, and normal modes for both the inverse square and delta-function two-body interactions. In particular, we calculate separation energies between two strings of particles. We find that the string separation energy increases with N and interaction strength.

引用

页数：21

共 48 条

[1]

Abramowitz M, 1970, HDB MATH FUNCTIONS

[2] Quantum information: Jaynes and Shannon entropies in a two-electron entangled artificial atom [J].