The Society of Physics Students (SPS) is the quintessential organization for students of physics. SPS is one of the 10 professional science organizations within the American Institute of Physics.
For $20 per year in chapter dues, you’ll receive Physics Today, which is a very popular monthly magazine that contains articles on current research at a very readable level. Also included with membership is a subscription to SPS Observer, which is the society newsletter that comes out every 3 months, and the Journal of Undergraduate Research in Physics, which contains student-written and student peer-reviewed articles describing undergraduate research.
