Classical Aspects of Quantum Walls in One Dimension
نویسندگان
چکیده
We investigate the system of a particle moving on a half line x ≥ 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls, by seeking a classical counterpart which admits the same time delay in scattering with the quantum wall, and also by examining the WKB-exactness of the transition kernel based on the regularized potentials. It is shown that no classical counterpart exists for walls with L < 0, and that the WKB-exactness can hold only for L = 0 and L = ∞. ∗ email: [email protected] † email: [email protected], http://www.mech.kochi-tech.ac.jp/cheon/ ‡ email: [email protected], http://research.kek.jp/people/itsutsui/
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