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This has been checked in a similar configuration by numerical simulations as reported in.
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A detailed development of the first term of Eq. 11 using the stationary phase approximation leads to the value B= ΩR / ω iπ/2. However, in practice, as long as one is interested only in the shape of the wave function, the precise value of C is not necessary.
-
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65
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-
41549166550
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note
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This treatment does not allow us to predict the wave function value in the vicinity of the classical radial turning point R0 = - since the normalization A (R) diverges as R→ R0. A more accurate treatment is thus needed to deal with the few trajectories starting at the edge of the rf knife. One possibility is to use the exact solution ψ of the radially symmetric two-dimensional inverted potential, as presented in Eq. 7.
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