1997/06/26 by Ali Mostafazadeh, Mostafazadeh, Ali · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9706056
Plain Latex
arxiv created 1997/06/26 · openalex publication_date 1997/06/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the eigenvalue problem for the Hamiltonians of the standard form, H=p2/(2m)+V(x), is equivalent to the classical dynamical equation for certain harmonic oscillators with time-dependent frequency. This is another indication of the central role played by time-dependent harmonic oscillators in quantum mechanics. The utility of the known results for eigenvalue problem in the solution of the dynamical equations of a class of time-dependent harmonic oscillators is also pointed out.