Dynamics of Particle in a Box in Time Varying Potential Due to Chirped Laser Pulse

Brijender Dahiya, Vinod Prasad

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DOI: 10.4236/jmp.2010.16053                

Abstract

We describe a computational method for simulating the time dependent quantum mechanical system inter-acting 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 shape is taken as Gaussian. We study the ef-fect of different pulse parameters i.e. chirp rate, intensity, center frequency, box length and laser duration on the dynamics of the particle. Many interesting results are obtained and explained.

Keywords

Transition Probability, Chirp Rate, Box Length

Conflicts of Interest

The authors declare no conflicts of interest.

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