I don't know about physX (which is specific to games), but tesla is a GPGPU device. It runs CUDA (C code or Fortran on GPU). Folding at home does NOT use physX, folding at home uses CUDA. Thus folding at home will work with it.
Moreover, I checked their website and they officially support it
Originally Posted by folding@home
a GeForce, Quadro, or Tesla card that supports CUDA