SCHRODINGER SELF-ADJOINT EXTENSION AND QUANTUM-FIELD THEORY

被引：37

作者：

AMELINO-CAMELIA, G ^{[1
]}

BAK, D ^{[1
]}

机构：

[1] MIT, DEPT PHYS, CAMBRIDGE, MA 02139 USA

来源：

PHYSICS LETTERS B | 1995年 / 343卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0370-2693(94)01448-L

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schrodinger Hamiltonian can also be derived using Feynman perturbation theory in the investigation of the corresponding non-relativistic field theories. We show that this is indeed what happens in the study of an anyon system, and, in doing so, we establish a field theoretical description for ''colliding anyons'', i.e. anyons whose quantum mechanical wave functions satisfy the non-conventional boundary conditions obtained with the method of self-adjoint extension. We also show that analogous results hold for a system of non-abelian Chem-Simons particles.

引用

页码：231 / 238

页数：8