Open AccessA time-dependent damped harmonic oscillator with a force quadratic in velocity
Author(s) -
Bowen Huang
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.271
Subject(s) - eigenfunction , harmonic oscillator , quadratic equation , eigenvalues and eigenvectors , physics , invariant (physics) , classical mechanics , lagrangian , mathematical analysis , quantum mechanics , mathematical physics , mathematics , geometry
A time-dependent damped harmonic oscillator with a nonconservative force quadratic in velocity (THOFQV) is described by an appropriate Lagrangian,and hence the general solution of THOFQV can be found.The solution of the Schrdinger equation for the system,such as the eigenfunctions and eigenvalues,is derived by utilizing these invariant operators.