An alpha wave generation apparatus has a voltage controller including a first resistor connected in parallel to an adapter jack and a battery, a converter for supplying power to a microcomputer, a first coil and a diode connected in series between the first resistor and an input terminal of the converter, a second resistor for maintaining an input voltage to the microcomputer constant in level, and a capacitor being charged with an input voltage to the converter or discharging it. The alpha wave generation apparatus generates alpha waves of 4 Hz, 8 Hz, and 10 Hz which, for example, may be used to activate cerebral cells.