%0 Journal Article
%T Green¡¯s Function for the Quartic Oscillator
%A Robert L. Anderson
%J Applied Mathematics
%P 1571-1579
%@ 2152-7393
%D 2016
%I Scientific Research Publishing
%R 10.4236/am.2016.714135
%X In this paper, a quantum mechanical Green¡¯s
function <img src=\"Edit_dfd9fb44-382f-4666-af63-0121aea44aec.bmp\" alt=\"\" />&nbsp;for the quartic oscillator is presented. This result is built upon two
previous papers: first [1], detailing the linearization of the quartic
oscillator (qo) to the harmonic oscillator (ho); second [2], the integration of
the classical action function for the quartic oscillator. Here an equivalent
form for the quartic oscillator action function <img src=\"Edit_48a3fe65-700f-484d-b650-df50c98a4553.bmp\" alt=\"\" />&nbsp;in terms of harmonic oscillator
variables is derived in order to facilitate the derivation of the quartic oscillator
Green¡¯s Function, namely in fixing its amplitude.
%K Nonrelativistic
%K Quartic
%K Quantum
%K Mechanics
%K Green¡¯s
%K Oscillator
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=70075