Abstarct: Many prominent physicists such as Bohr, Dirac, Heisenberg, Pauli and Landau believed to be a revolutionary approach. From their perspective, problems have arisen in the context of quantum theory could not be solved and a new theory according to which the difference between this new theory with quantum theory may be as much difference between the quantum theory of classical physics. Another batch of physicists that they may be called pragmatic physicists; While accepting quantum theory to shape it tried to introduce new methods and techniques or providing a suitable reformulation of quantum theory to understand answers to problems have been found to achieve. The first hypothesis smallest possible period in the twentieth century became possible to take this time to a fundamental length scale to measure distance've found a place that if we enter the minimal length of the quantum mechanics, it can be an exxpression of uncertainty in measurement we place. First, we pay of minimal length and its related relations. Then, we consider the effect generalized uncertainty principle on the focal ensemble thermodynamic of an ideal gas and we obtain the partition function with the methods of quantum and classical. Also, we studied the dynamic properties with minimal length uncertainty for the fixed particle and harmonic oscillator potential and so. We consider Dirac oscillator under a magnetic field in the presence of spin-orbit interaction with the frxamework of minimal length quantum mechanics, we solve the problem in momentum space using polar coordinates and we obtain special functions and the eigenvalues of the Hamiltonian of the system. Also, we consider Ramsaeur-Townsend effect in the presence of a generalized uncertainty principle and within the frxamework of the Dirac equation for potential wells, step potential and walls of the infinite. Finally, we consider the multi-particle systems in the presence of the minimal length.