UV lamps are used as a form of treatment from people who suffer seasonal depression. I have always assumed that UV was responsible to a certain extent for our waking response as well, but you'd have to look it up. What's for sure is that the intensity of light from a lamp will never match that of sun rays coming in through your window. You might want to consider buying a lamp or a bulb providing greater intensity. If you have a bedside lamp think about positioning it so that its beam faces close to your eyes, and that it's easy to switch on from your bed.

Also, your body needs sleep, and it usually knows best.