Errrr. Hang on a second.
All lasers work on similar principle. They definitely do not use any principle of electroluminescence or using a phosphor. The nature of the physics means that you can not control the precise nature of the emission and therefore you do not end of with coherent light which is the secret of a laser. You do not get any amplification using a phosphor or an electroluminescent media.
All lasers are pumped.
A laser consists of at least three components:
1. A gain medium that can amplify light that passes through it
2. an energy pump source to create a population inversion in the gain medium
3. two mirrors that form a resonator cavity
The gain medium can be solid, liquid, or gas and the pump source can be an electrical discharge, a flashlamp, or another laser. The specific components of a laser vary depending on the gain medium and whether the laser is operated continuously (cw) or pulsed.
Semiconductor lasers are light-emitting diodes within a resonator cavity that is formed either on the surfaces of the diode or externally. An electric current passing through the diode produces light emission when electrons and holes recombine at the p-n junction. Because of the small size of the active medium, the laser output is very divergent and requires special optics to produce a good beam shape. This is one of the reasons why you can still see the output from a laser pointer if you are not staring at the beam.
Sure you could use 3 solid state lasers in a projection display device. The difficulty being in creating solid state green lasers (at the moment, green lasers can be produced by using a laser diode and an ND:YV04 crystal as a freqency doubler which is not terribly efficient). Bue lasers of reasonable power are also still difficult.
Just remember though that there is no such thing as a free lunch. If we try to scan a laser spot like a CRT on a screen and modulate it to make an image, the entire image will not be as bright as the laser spot is when stationary. This is impossible. The power per unit area of the beam would reduce proportionally. This means that for a bright image, you would have a pretty powerful laser scanning across the screen. Multiply this by three for each colour and you have an eyesight hazard.
Laser light is particularly damaging because of the high intensity of the beam due to the fact that the beam acts as an illuminator with a small solid angle and a particularly pure frequency that your eyes are not designed to cope with. Your eyes aer less sensitive to some colours than others (red for example) and hence you can easily view a red laser which will damage your eyes because you are not perceiving it as being very bright when in fact there is a lot of energy in the beam.