Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 9-16 |
| Number of pages | 8 |
| Journal | Letters in Mathematical Physics |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Apr 1998 |
| Externally published | Yes |
Keywords
- Functional integration
- Ground state
- Particle and field