It's hard to tell exactly what's being asked here but I'll try to give the best answer I can. There are a few misconceptions going around in comments and answers so I'll try to clarify all this, to the best of my knowledge.
[I] noticed that the camera perspective is similar to the 'one eyed
view' of the surroundings.
Indeed, the default (horizontal) field of view of first-person shooters (e.g. 75° in HL2) is notably smaller than the 'natural' FOV (around 95°). It might be close to a single eye FOV, but to me this is more or less a coincidence.
Is it because of the single flat view of the screen?
This is simply a side effect of the display size. The FOV is reduced to compensate the fact that a regular screen doesn't cover your entire vision (you can see your environment around the screen, unless you stick your nose on the flat panel). Note than some gamers like to change this default FOV to something bigger for a better view of their virtual surroundings. So there is no single magic value used in FPS games: this is a matter of preferences and habits.
Stereoscopic 3D displays are quite common nowadays, and plenty of games support them, thus offering a proper 'two eyed view'. The default FOV is not changed in those cases: the fact that both of your eyes receive a different image doesn't change the relative size of the display compared to your vision.
Or is it the problem that can be fixed by some research?
I wouldn't call this a problem.
The 'fix' already exists, lots of game allow you to change the FOV on-the-fly, for instance try typing this in HL2's console:
sv_cheats 1;fov 95
This will seem to distort the perspective on a regular screen. To keep a natural-looking perspective with a high FOV, you simply have to use a display that covers your entire vision (stereoscopic or not). There are plenty of solutions:
- Add more screens, for instance through AMD EyeFinity. Games supporting this technology will enlarge the FOV to fit the new display size.
- Use a VR headset (expensive), or wait for the the much hyped Occulus Rift (or even customize an old Virtual Boy if you want to go retro).
- Another fancy upcoming technology that could benefit from larger FOVs is Microsoft's IllumiRoom - or, why not, a plain old overhead projector.
- Heck, if you've got plenty of money or a VR research department in your neighborhood, you could even go for a full-fledged CAVE.