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
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
收藏
页码:231 / 238
页数:8
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