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This paper theoretically analyzes the behavior of an atom driven by a strongelectro-magnetic field. Moreover, besides traditional quantum mechanics method,we also investigate semiclassical approaches to this problem. We firstperformed strong field approximation for system of an atom driven by a strongelectromagnetic field in velocity gauge. Our simulation result is consistentwith theories and close to experiments except some reasonable difference causedby different parameters and omitted bound and final states in the transitionamplitude. Next, a new semiclassical approach is used to solve Volkov wavefunction. We prove that semiclassical approximation works well in predictingthe particle evolution in quantum world, especially for system in a strongelectromagnetic field with low frequency. Finally, we also briefly illustratedhow to use semiclassical approximation to get the same results as strong fieldapproximation and also partly tested the viability of the semiclassicalapproach to Teller Potential. This part needs future work to accomplish. Butstill, semiclassical approximation provides a potentially new method to solvecomplicated system, which might be more effective than traditional quantummechanics recipe.

Review of Strong Field Approximation and Investigating Semiclassical Evolution Approach