Research positions (PhD) are most likely very competitive. Depending on what courses you have taken and the contractor, you may or may not be filled in for engineering positions. Usually physics constitute as the "other/related major" in the typical academics requirements: CE/EE/CS/related science/engineering major. Research positions are probably at a minimum of Masters but I doubt there are many positions at that level.
No jobs are easy to get in and out of the recession, unless you are a nurse.