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On Noether's theorem for the invariant of the time-dependent harmonic oscillator

Sumiyoshi AbeDepartment of Physical Engineering, Mie University, Mie 514-8507, JapanYuichi IttoDepartment of Physical Engineering, Mie University Mie 514–8507, JapanMamoru MatsunagaDepartment of Physical Engineering, Mie University Mie 514–8507, Japan
2009en
ABI

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The time-dependent oscillator describing parametric oscillation, the concept of invariant and Noether's theorem are important issues in physics education. Here, it is shown how they can be interconnected in a simple and unified manner.

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