S‐Operator Theory. I. Formulation
| Autor: | Robert E. Pugh |
|---|---|
| Rok vydání: | 1965 |
| Předmět: |
Momentum operator
Mathematical analysis Statistical and Nonlinear Physics Operator theory Pseudo-differential operator Semi-elliptic operator symbols.namesake Operator (computer programming) Ladder operator Hypoelliptic operator symbols Hamiltonian (quantum mechanics) Mathematical Physics Mathematics Mathematical physics |
| Zdroj: | Journal of Mathematical Physics. 6:740-746 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.1704331 |
| Popis: | It is postulated that the S operator is dynamically independent of the wavefunctions of the asymptotic states. From this postulate a functional differential equation for the S operator is developed. Its solutions include both the renormalized and unrenormalized Feynman‐Dyson S operators; appropriate boundary conditions distinguish the two solutions. Interpolating quantum fields are defined in terms of the S operator and are only of secondary importance in this theory. Calculations in this theory are not appreciably more difficult than the corresponding calculations with the unrenormalized S operator. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|