Here are the system requirements for SWTOR:

OS: Windows XP, Windows Vista, Windows 7
CPU: AMD Athlon 64 X2 Dual Core 4000 or better / Intel Core2 Duo Processor 2.0 Ghz or better
RAM: At least 1.5 GB or better for XP / 2 GB or better for Windows Vista/7 / PC's using built in graphic chipsets 2 GB RAM is recommended.
Hard Drive: 8x DVD-ROM or better
Video: ATI XT800 or better / NVIDIA 7800 or better / Intel 4100 or better. 256 MB minimum video RAM, shader 3.0 or better fully compatible graphics card.