Semiclassical analysis of low lying eigenvalues , 11 . Tunneling *
نویسنده
چکیده
We discuss the leading asymptotics of eigenvalue splittings of & A + X2V in the limit as X + oo, and where V is a non-negative potential with several zeros. For example, if Eo(A), El(X) are the two lowest eigenvalues in .a situation where V has precisely two zeros, a and b, related by a symmetry, then lim,,, (A)-'ln[E,(X) Eo(h)] is given as the distance from a to b in a certain Riemann metric.
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