Preliminary estimations | |
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Finding the unitary matrix
A(x, Delta x) I. Differential equation for the matrix A II. Approximate solutions III. Equations for phase functions IV. Uncoupling the set of differential equations A. Separation of the function phi_{0} B. Eliminating the function phi_{+} IV. Uncoupling differential equations (31) and (32) V. Expansions on powers of Delta x A. Accuracy of small-coupling approximation B. Accuracy of small-Delta x approximation | PDF file |
Derivation of functions tau and rho from conditions of unitarity I. Relationship between functions tau and rho and the couplong eta II. A similar relationship, but for transition 2 -> 1 III. Conservation of flux IV. Finding tau and rho | PDF file |
Uniform semiclassical approximation for two surfaces I. Definitions II. Zero-order term II. Zero-order term III. Testing zero-order term IV. First-order wave function | PDF file |
Examples of two-level potentials: primitive semiclassical vs. uniform semiclassical approximation |
Table with links |
Study of two-dimensional potentials, in progress |
Table with links |
More Unpublished reports |
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