A time-dependent damped harmonic oscillator with a force quadratic in velocity | Zendy

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A time-dependent damped harmonic oscillator with a force quadratic in velocity

Author(s) -

Bowen Huang

Publication year - 2003

Publication title -

acta physica sinica

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.

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