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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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๐Ÿ“œ SIMILAR VOLUMES


A study of some approximation schemes in
โœ Charles Schwartz ๐Ÿ“‚ Article ๐Ÿ“… 1965 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 677 KB

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.

Classical paths and quantum mechanics: R
๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 52 KB

## 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

Elementary particle scattering and stati
๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 89 KB

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