A study of some approximation schemes in quantum mechanics: Charles Schwartz, Department of Physics, University of California, Berkeley
- Publisher
- Elsevier Science
- Year
- 1964
- Tongue
- English
- Weight
- 58 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0003-4916
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๐ SIMILAR VOLUMES
By means of numerical examples in one dimensional Hamiltonian problems, we study the behavior of the approximation scheme known as the New Tamm-Dancoff method. It is concluded that for good convergence of this, and other related methods, one should arrange to start with a symmetric set of equations.
## 213 wavefunctions, the formulas are applied to an exactly soluble one-dimensional model. In this model the potential is proportional to exp{ -ax}, where a is a positive constant and x is a variable ranging from co to +co, and expectation values as well as matrix elements of the function exp{ -a
Previous work relating the thermodynamic potential to elementary particle S-matrix elements is generalized and re-derived directly from the expressions for the diagrams of many body theory. The divergent physical region poles are shown to introduce energy derivatives of mass shell delta functions wh