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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The path integral of the time-dependent oscillator is shown to reduce to the time-independent within certain limits.
📌 3 Key Takeaways
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Objective & Hypothesis:The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator.
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Key Findings & Data:The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator.
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Conclusion & Impact:The path integral of the time-dependent oscillator is shown to reduce to the time-independent within certain limits.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Path Integral Propagator · Green functions and harmonic oscillator · Path Integral Propagator
Abstract
The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator. The path integral of the time-dependent oscillator is shown to reduce to the time-independent within certain limits.
Özet
The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator. The path integral of the time-dependent oscillator is shown to reduce to the time-independent within certain limits.
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Cite This Article
IKOT, A. N., ITUEN, E. E., ESSIEN, I. E. (2008). Path Integral Evaluation of a Time-Dependent Oscillator in an External Field. Turkish Journal of Physics, Cilt: 32 - Sayı: 6, 305–313. https://ajindex.com/articles/378111