The Hamiltonians of Linear Quantum Fields: II. Classically Positive Hamiltonians
| dc.creator | Helfer, Adam D. | |
| dc.date | 1999-08-02 | |
| dc.date | 2003-08-13 | |
| dc.date.accessioned | 2026-07-07T04:26:48Z | |
| dc.date.available | 2026-07-07T04:26:48Z | |
| dc.description | For linear bose field theories, I show that if a classical Hamiltonian function is strictly positive, then there is a canonical transformation making the evolution orthogonal. This structure theorem is used to analyze the corresponding quantum theories. It is shown that there is an intimate connection between boundedness-below and self-adjoint implementability. Finally, it is shown that there is a broad class of "quantum inequalities:" any timelike component of the four-momentum density operator, averaged over a compact region in curved space-time, must be bounded below. | |
| dc.description | 27 pages, Latex2e with AMS packages, typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9908012 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9908012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56189 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Hamiltonians of Linear Quantum Fields: II. Classically Positive Hamiltonians | |
| dc.type | text |