A new quasi-static energy recovery logic family (QSERL) using the principle of adiabatic switching is proposed in this paper. Most of the previously proposed adiabatic logic styles are dynamic and require complex clocking schemes. The proposed QSERL uses two complementary sinusoidal supply clocks and resembles behaviors of static CMOS, Thus, switching activity is significantly lower than dynamic logic, In addition, QSERL circuits can be directly derived from static CMOS circuits, A high-efficiency clock generation circuitry, which generates two complementary sinusoidal clocks compatible to QSERL, is also presented in this paper. The adiabatic clock circuitry locks the frequency of clack signals, which makes it possible to integrate adiabatic modules into a VLSI system. We have designed an 8 x 8 carry-save multiplier using QSERL logic and two phase sinusoidal clocks, SPICE simulation shows that the QSERL multiplier can save 34% of energy over static CMOS multiplier at 100 MHz.