Vasilevsky V. Generalized coherent states and the dynamics of nuclear systems

The thesis is devoted to the development of the microscopic methods for investigating of the atomic nuclei. These methods is based on the matrix form of the quantum mechanics, which uses the many-particle oscillator functions and which takes into account the proper boundary conditions for bound states and continuous spectrum states. The technique of the generalized coherent states is formulated for calculation of the matrix elements of a hamiltonian between the oscillator functions. The later describes different types of collective, internal and cluster excitations.The methods formulated are used for solving the set of fundamental and applied problems of the atomic nuclei. For instance, the theoretical analysis of the mirror reactions d(d,n)3He and d(d,p)3H and thermonuclear reactions 3H(3H,2n)4He and 3He(3He,2p)4He is performed for the energy range important for the astrophysical applications.