Measuring orbital angular momentum

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Experiments to measure orbital angular momentum often involve the use of optical vortices, where light beams carry quantized angular momentum. One common approach is using a spatial light modulator to create a beam with a specific orbital angular momentum state. Another method includes the use of interferometry to analyze the phase shifts caused by the orbital angular momentum in light. Additionally, techniques like the measurement of the angular momentum of particles, such as electrons, can also provide insights. Understanding these methods is crucial for applications in quantum mechanics and optical physics.
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Can anyone describe an experiment that would be used to measure orbital angular momentum?
 
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Anyone ?
 
I'd like to know an example, too.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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