ground state;
functional integration;
particle and field;
D O I:
10.1023/A:1007473300274
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
We use methods from functional integration to prove the existence and uniqueness of the ground state of a confined quantum particle coupled to a scalar massless Bose field. For an external potential growing at infinity, the ground state exists under fairly general conditions while, for a decaying potential, an unphysical condition on the coupling strength is still needed.