Mössbauer effect and solitary wave in one-dimensional molecular crystals at T ≠ 0

An attempt is made to analyse the influence of a solitary wave on the Mössbauer effect in a γ-active atom situated in a one-dimensional crystal lattice mode. The expression for the γ-radiative transition probability is derived, the γ-quantum being exactly equal to the molecular excitation energy, i.e. in the case when the molecular chain does not change its state in the course of the emission. This state is a solitary wave solution of the nonlinear Schrödinger equation, the crystal system being in contact with a thermostat at T ≠ 0. It is shown that,in general, the transition probability is lower than in the case when the crystal state is adequately described exclusively by thermal phonon modes. The analytical expression obtained opens the possibility to compute the transition probability as a function of temperature in the Mössbauer effect in our soliton case.