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- W2026952080 abstract "The model of a harmonic oscillator of natural frequency ω0 under the joint action of a periodic driving force of frequency λ and pulsation in mass of frequency ν is considered as a classical or quantized system. Dirac variables are utilized to solve the equations of motion to first and second order in the strength of the mass pulsation and a simple procedure is indicated for extension to any order. The solution contains secular terms and shows resonance behaviour at ν = 2ω0, λ = ω0 or λ = 3 ω0. The fluctuation in energy of the system is examined. At resonance the rotating-wave approximation is shown to furnish an asymptotic solution of the equations of motion for large values of the time. In the same approximation the Green’s function is calculated and the Schrödinger equation is solved." @default.
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- W2026952080 date "1986-06-01" @default.
- W2026952080 modified "2023-10-18" @default.
- W2026952080 title "The pulsating harmonic oscillator" @default.
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- W2026952080 doi "https://doi.org/10.1007/bf02722330" @default.
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