# Accession Number:

## AD0643633

# Title:

## THE PROBLEM OF WIDENING AND DISPLACING ENERGY LEVELS,

# Descriptive Note:

# Corporate Author:

## FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

# Personal Author(s):

# Report Date:

## 1966-12-07

# Pagination or Media Count:

## 12.0

# Abstract:

The normalization method is used for obtaining finite expressions for displacing and widening energy levels at transitions of an arbitrary form. This report pursues the construction of an apparatus with an arbitrary number of particles in initial and final states, suitable during the investigation of processes and the evaluation of how the renormalization method can be used in the given problem for the exclusion of divergences. A Schroedinger representation is used in the equation. An S-matrix is broken into a sum of normal derivatives which corresponds to various physical processes, matrices of transition. The perturbation method was used during the obtaining of a certain factor. A second approximation analysis within the frames of any staircase approximation is cited. The realization method used does not propose an invariable use of any concrete approximations, therefore it allows us to obtain the final expressions for the displacement and width of energy levels in an arbitrary approximation. The formulas are valid in case of a spontaneous as well as forced irradiation. They can be accepted for processes with any number of particles in the initial state. The covariance of formulation can be useful in relativistic problems. A concrete selection of the initial state vector also determines the selection of this or any other physical problem. Author

# Descriptors:

# Subject Categories:

- Nuclear Physics and Elementary Particle Physics
- Quantum Theory and Relativity