In a large non-stick skillet saute peppers and onion in a little bit of olive oil until soft and caramelized, about 10-15 minutes, season to taste with salt and pepper. remove from pan, and set aside.

Heat 2 C of water and remaining 2 tablespoon of onion soup mix until boiling, cook for 5 minutes and remove from heat.

Combine ground beef with 2 tablespoon of onion soup mix, mayonnaise and Worcestershire sauce. Divide meat into 4 equal portions and form into patties. Brown patties in the same skillet used for the peppers and onions. Cook over medium-high heat until desired level of doneness and top with a slice of cheese.

For assembly: place burgers on toasted french bread and top with cooked peppers and onions. Serve with prepared onion soup for dipping.