Semi-classical limit of wave functions
نویسندگان
چکیده
منابع مشابه
Semi-classical Limit of Wave Functions
A bstract . We study in one dimension the semi-classical limit of the exact eigenfunction Ψh E(N,h) of the Hamiltonian H = − 1 2 h2∆ + V (x), for a potential V being analytic, bounded below and lim|x|→∞ V (x) = +∞. The main result of this paper is that for any given E > minx∈R1 V (x) with two turning points, the exact L2 normalized eigenfunction |Ψh E(N,h) (q)|2 converges to the classical proba...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-05469-6