In a small skillet over medium heat, saute ramps in 1 tablespoon of butter until soft. Set aside.
Heat a large stainless steel skillet on HIGH for roughly 3 minutes or until the skillet it hot (lightly sprinkle with water to seek that it sizzles & dances)
(This cooking technique makes a stainless or cast iron skillet into a non stick pan)
Add remaining butter, butter will sizzle & melt but should not brown. Adjust heat as necessary.
Slowly pour in beaten eggs, reducing heat to low. Cover with a lid and cook for 1-2 minutes.
Once eggs are almost completely set, add cheese, cooked ramps and smoked salmon. Replace lid and cook until eggs are fully cooked and cheese is starting to melt.
Slide omelet out onto your plate and folding to close. Garnish with additional ramp greens, if desired.