II searched locked rotor amps and came across this thread from last year. TomG's explanation seemed to have satisfied the OP (who apparently had his account disabled), but I'm not sure I entirely understand this.
Based on TomG's explanation of locked rotor amps, here is my understanding of the cause of locked rotor amps in an Alternating Current motor:
When an electric motor has power first applied to it, the rotor is not moving. As the rotor gains speed, a voltage is induced in the windings. The polarity of this induced voltage is the opposite polarity of the applied voltage.
With opposite polarities, the two voltages subtract from each other, yielding a reduced effective voltage to the windings. With the lower effective voltage, the current decreases. The faster the rotor spins, the higher the induced voltage.
When an electric motor has power first applied to it, there is no induced voltage in the windings. Therefore, when an electric motor has power first applied to it, there is no induced voltage to subtract from the applied voltage. Therefore, there is higher effective voltage when an electric motor has power first applied to the electric motor than the effective voltage when the rotor reaches top speed. Therefore, there is more current when the electric motor has power first applied to it than the amount of current when the rotor reaches top speed. This extra current that exists when the electric motor has power first applied to it is locked rotor amps.