Abstract
We investigate the enlarged class of open finite strings in (2+1)D space–time. The new dynamical system related to this class is constructed and quantized here. As the result, the energy spectrum of the model is defined by a simple formula [Formula: see text]; the spin [Formula: see text] is an arbitrary number here but the constants αn and cn are eigenvalues for certain spectral problems in fermionic Fock space Hψ constructed for the free 2D fermionic field.
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