According to Oculus, here are the minimum specs:
•NVIDIA GTX 970 / AMD 290 equivalent or greater
•Intel i5-4590 equivalent or greater
•Compatible HDMI 1.3 video output
•2x USB 3.0 ports
•Windows 7 SP1 or newer
You may need a new Desktop PC to get the best experience.
Laptops are probably not good enough.
Oculus today has just released their specs for the rift.
The Rift resolution is 2160×1200, runs at 90Hz, and has two split displays.
This PC might do the trick according to ROADTOVR.com
Intel Core i5 4690K 3.4GHz Processor
8Gb 1600Mhz DDR3 RAM
1Tb Hitachi 7200 RPM SATA3
Nvidia GEFORCE GTX 970 4Gb