Wave function regulation to accelarate adiabatic dynamics in quantum mechanics

The theory to accelerate system on quantum dynamics has been constructed to get the desired wave funtion on shorter time. This theory is developed on adiabatic quantum dynamics wich any regulation is done on wave function that satisfy Schrodinger equation. As an example we show accelerated manipulation of WFs with use of a parameter-dependent asymmetric double-well potential. The theory is also applicable to macroscopic quantum mechanics described by non linier Schrodinger equation.