During the last decades, technology has made it possible to produce devices atsmaller and smaller length scales. Central in these devices are theirconducting properties, as they can be made very clean, making it easyfor electrons to flow through them. One particular device, known as aquantum point contact, exhibits such good conducting properties thatthe electrons can pass form one side to the other without collidingwith impurities or defects. Due to quantum confinement in the direction perpendicularto the flow of electrons, the conductance shows quantized steps atinteger values of 2e^2/h. This reflects the wave nature ofthe electrons and is thus a remarkable demonstration of quantummechanics. Although the quantum point contact has been studied formore than two decades it exhibits a feature which is not yet fullyunderstood, the 0.7 anomaly. It appears as a 'shoulder', or extrastep, below the lowest conductance plateau, and is a deviation from thenon-interacting picture leading to the conductance steps. In this thesis, conductance in quantumpoint contacts will be treated in the non-interacting case, but wekeep in mind the rich nature of phenomena that are present in QPCs.