I'm surprised there is not already a "recommended books" post here, so here goes...
My introduction to the right brain/left brain dichotomy was through an this book. Some friends of mine in high school were drawing portraits in art class. Now, portraits can be particularly hard to draw, but their portraits were surprisingly accurate because they were drawing them upside down. The idea came from Drawing on the Right Side of the Brain.
Everybody has their own mental image of what a "typical" eye looks like, or a nose or mouth or ear. The main trouble many people have when drawing portraits is that their left-brain takes over and they start drawing those "typical" features in the same way a child will draw the same type of house over and over again. When you turn your reference photo upside down, everything looks strange and different. Then the left-brain doesn't know what to do and lets the right-brain take over. Then you draw what is actually there instead of what your ego thinks should be there. The rest is hand-eye coordination and dexterity.
Worth a try. Here's some links to the book, Drawing on the Right Side of the Brain
http://drawsketch.about.com/od/suppliesbooks/fr/draw_right_side.htm
http://www.amazon.com/New-Drawing-Right-Side-Brain/dp/0874774195/ref=sr_1_1?ie=UTF8&qid=1312766675&sr=8-1
Another book that has some interesting food for thought is The Origin of Consciousness in the Breakdown of the Bicameral Mind. This book theorizes that the corpus collosum, the material connection between the right and left hemispheres of the brain, has evolved in humans over time and that our relationship with Ø has evolved with it. The author explores his theories with examples from science and archeology, and looks at ancient civilizations around the world. There is a chapter on schizophrenia and a chapter on hypnotism.
Here's some links for the The Origin of Consciousness in the Breakdown of the Bicameral Mind. However, please keep in mind that this book has been subject to very wide interpretation. If you find this subject matter fascinating, I strongly encourage you to read the book for yourself and draw your own conclusions.
http://www.julianjaynes.org/bicameralmind.php
http://www.amazon.com/Origin-Consciousness-Breakdown-Bicameral-Mind/dp/0618057072/ref=sr_1_1?ie=UTF8&qid=1312764948&sr=8-1



