What exactly is a classical Rotator and quantum-mechanical Rotator

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A classical rotator is a rigid body with an angular degree of freedom and an associated angular moment of inertia, described using classical mechanics. In contrast, a quantum-mechanical rotator incorporates principles of quantum mechanics, leading to quantized energy levels and behaviors that differ from classical predictions. The quantum rotator is particularly significant for educational purposes, as it illustrates key concepts in quantum mechanics. To find energy levels in phase space for a rotator, one would typically apply quantum mechanics principles, which involve solving the Schrödinger equation for the system. Understanding both types of rotators is essential for grasping the differences between classical and quantum physics.
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Please tell me,what exactly is a classical Rotator and quantum-mechanical Rotator.
I could use any information since I am not familiar with rotators. Also how would you find energy levels in phase space for a rotator?
Thanks
 
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The plane rotator is something that has an angular degree of freedom (and an associated angular moment of inertia). You can picture it as a rigid body which has two fixed points if you want to, but that's giving more structure to it than is strictly necessary.
If you describe it classically, you have the classical rotator, if you describe it quantum-mechanically, you have the quantum mechanical rotator. It is only that last one that has any pedagogical interest.
 
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