Simple applications of fundamental solution method in 1D quantum mechanics A talk given at the conference on: "Geometry Symmetry and Mechanics I" Lisbon, 1116 July 2001
Abstract
A method of fundamental solutions has been used to show its effectiveness in solving some well known problems of 1D quantum mechanics (barrier penetrations, overbarrier reflections, resonance states), i.e. those in which we look for exponentially small contributions to semiclassical expansions for considered quantities. Its usefulness for adiabatic transitions in two energy level systems is also mentioned.
 Publication:

arXiv eprints
 Pub Date:
 July 2001
 arXiv:
 arXiv:quantph/0107021
 Bibcode:
 2001quant.ph..7021G
 Keywords:

 Quantum Physics
 EPrint:
 15 pages, 7 figures