Place a large skillet in the oven and preheat to 325°F.
Place 3 teaspoons olive oil, the vinegar and Worcestershire sauce in a small bowl and whisk until blended.
When the oven is hot add the olive oil mixture to the pan and then the eggplant.
Return the pan to the oven and roast for about 40 minutes. Turn the eggplant a couple of times during the roasting process.
While the eggplant is roasting, place 1 teaspoon olive oil in a small skillet over medium high heat.
Add the shallot and cook for about 2 minutes.
Add the tomatoes and capers and cook for about 10 minutes, stirring frequently, then remove from heat and set aside.
When the eggplant has cooked for about 35 minutes, toast the hamburger buns (if desired) by placing them in the oven, face down and directly on the rack.
Remove the pan of eggplant and place 1/4 of the tomato mixture on top of each eggplant.
Top with the provolone cheese and return the pan to the oven.
Cook for about 5 minutes until the cheese is melted.
Place the eggplant burgers in the hamburger buns and serve.
