A new asymptotic energy expansion method

A new asymptotic energy expansion (AEE) method is presented for I-D systems . The method is based on power series expansion of the quantum action varia ble J in energy and can be applied to a wide range of potentials. Contour i ntegrals involved in the method are much simpler than that in WKB methods. Recurrence relations are derived for any potential with scaling property an d general integral formulae are presented in terms of Gamma functions. (C) 2001 Elsevier Science B.V. All rights reserved.