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Positronium is an exotic form of matter formed by an electron and a positron (a positively...

Positronium is an exotic form of matter formed by an electron and a positron (a positively charged electron) orbiting around a common center at a distance of 1.06 D (from each other, not from the center). We will assume that the system rotates in a way approximated by the rigidrotor model. Calculate the following:

A. The first four energy levels associated to the rotation (in three dimensions) for this system.

B. The first four possible values of the angular momentum for this system.

C. If the system were to be at rest (i.e. R = 0), what is the longest wavelength of light that can start the system into rotation? Report also its associated frequency in units of cm-1

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