A short resume about the nature of EPs followed
by a discussion about their ubiquitous occurrence
in a great variety of physical problems.
EPs feature in quantum phase transition, quantum
chaos, they produce dramatic effects in multichannel
scattering, specific time dependence and more.
In nuclear physics and in fermion gases they are
associated with instabilities and affect approximation
schemes. EPs could be of interest for weakly bound states
such as halos realized for nuclei along the drip line
and at formation of molecules for colliding atoms
at low temperatures.
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