Green’s Function for the Quartic Oscillator  

作　　者：Robert L. Anderson Robert L. Anderson(Department of Physics and Astronomy, University of Georgia, Athens, USA)

机构地区：[1]Department of Physics and Astronomy, University of Georgia, Athens, USA

出　　处：《Applied Mathematics》2016年第14期1571-1579,共9页应用数学（英文）

摘　　要：In this paper, a quantum mechanical Green’s function  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  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.In this paper, a quantum mechanical Green’s function  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  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.

关 键 词：Nonrelativistic QUARTIC QUANTUM MECHANICS Green’s OSCILLATOR 

分 类 号：O17[理学—数学]