Abstract
We consider exactly solvable, totally asymmetric models of the low-dimensional nonequilibrium physics on a ring, namely, the totally asymmetric simple exclusion process and the totally asymmetric simple zero range process. The quantum inverse method allows us to calculate the scalar products of state vectors of the models and to represent the answers in the determinantal form. It is shown that the eigenvectors of the models form a complete orthogonal basis. The projections of state vectors on stationary, time independent states are studied. Bibliography: 39 titles.
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