ABSTRACT

The purpose of this paper is to study tunneling effects in the momentum space as an example of the tunneling phenomena in the phase space, or so-called the micro-local tunneling (cf. [He-Sj], [Ma], [As-Du]), and to apply it to the semi-classical limit of scattering. We mainly consider one-dimensional Schrödinger operators: H = − ℏ 2 d 2 d x 2 + V ( x )   on   L 2 ( R ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072096/6e6221c8-364d-4a5e-bfe5-98bb034e69b7/content/eq2195.tif"/>