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We describe a computational method for simulating the time dependent quantum mechanical system interacting with external field. In this method the Schrödinger equation is solved by expanding the wave function in the basis set of unperturbed Hamiltonian. The expansion yields a set of coupled first order differential equation. For expansion coefficients, the coupled channel method is applied to a particle in a box interacting with external field in the form of chirped laser pulse. The pulse shapedoi:10.4236/jmp.2010.16053 fatcat:332zbtyv3zbkrkb3fy6btqbxv4