QUANTIZATION OF A SELF-COUPLED BOSON FIELD
Abstract
A new method is proposed for he uantization of self-coupled boson fields. The field is analyzed in terms of Hermitian amplitudes of an expansion in plane waves, and the wave function of the system is expres ed in terms of these amplitudes. The field Hamiltonian the becomes a differential operator. The variational method is applied, using a trial function that consists of products of arbitrary functions of the mode amplitudes that ref r to equal and oppo ite omenta. Explicit expressions for the vacuum, one-particle, and two-particle states are obtained, and the rest mass and coupling constant are renormalized There is only S wave scattering in this approximation, and there can be an S wave bound state of two particles if the renormalized coupling constant is sufficiently large and negative. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1962
- Accession Number
- AD0278436
Entities
People
- L.i. Schiff
Organizations
- Stanford University