Higher order approximations for quasiclassical trajectory-coherent states of nonrelativistic particle

Scheme of constructing higher-order approximations for quasiclassical trajectory-coherent states of nonrelativistic particles was developed. Constructed states are characterized by the fact that quantum mechanical averages from coordinate and momentum operators of this states within the limit at ℎ → 0 represent exact solutions of Hamiltonian system. Quantum mechanical averages from energy, coordinate and momentum operators, standard deviations from classical trajectory were calculated with accuracy of up to members on 0(ℎ2) order. Higher order approximations were obtained by the Maslov's complex sprout method