Collect. Czech. Chem. Commun. 2005, 70, 740-754

On the Bidirectionality of the JWKB Connection Formula at a Linear Turning Point

Hujun Shena, Harris J. Silverstonea,* and Gabriel Álvarezb

a Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, U.S.A.
b Departamento de Física Teórica II, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain


The bidirectionality of the Jeffreys-Wentzel-Kramers-Brillouin (JWKB) connection formula is demonstrated by a simple numerical example constructed from a linear potential and a box.

Keywords: JWKB; Connection formula; Borel sum; Asymptotic expansion; Tunneling; Jeffreys-Wentzel-Kramers-Brillouin method; Wave function; Quantum chemistry.

References: 13 live references.